diff --git a/app/src/main/java/org/prolibertate/games/game/Catalog.kt b/app/src/main/java/org/prolibertate/games/game/Catalog.kt
index 63a926b..840b2fe 100644
--- a/app/src/main/java/org/prolibertate/games/game/Catalog.kt
+++ b/app/src/main/java/org/prolibertate/games/game/Catalog.kt
@@ -34,6 +34,14 @@ object GameCatalog {
     const val WIZARD = "wizard"
     const val CRAZY_EIGHTS = "crazy8s"
     const val CRIBBAGE = "cribbage"
+
+    /**
+     * Hearts has a rules engine and an AI but no screen yet, so it is an id
+     * without a [GameDescriptor]: nothing to tap, and nothing to crash. It joins
+     * [all] when its screen lands.
+     */
+    const val HEARTS = "hearts"
+    const val PEG_SOLITAIRE = "pegsolitaire"
     const val SEQUENCE = "sequence"
     const val MASTERMIND = "mastermind"
     const val BACKGAMMON = "backgammon"
@@ -116,6 +124,17 @@ object GameCatalog {
                 "twice round the board to 121.",
             available = true,
         ),
+        GameDescriptor(
+            id = HEARTS,
+            title = "Hearts",
+            category = GameCategory.CARD,
+            minPlayers = 4,
+            maxPlayers = 4,
+            teamBased = false,
+            blurb = "Take no trick worth taking. Every heart costs a point, the queen " +
+                "of spades costs thirteen, and taking all of them costs everybody else.",
+            available = true,
+        ),
         GameDescriptor(
             id = SEQUENCE,
             title = "Sequence",
@@ -177,6 +196,19 @@ object GameCatalog {
             blurb = "Three in a row takes a piece. Reduce them to two and the game is yours.",
             available = true,
         ),
+        GameDescriptor(
+            id = PEG_SOLITAIRE,
+            title = "Peg Solitaire",
+            category = GameCategory.BOARD,
+            // The first game here played alone. Everything downstream reads the
+            // seat count from these two numbers, so one seat is all it takes.
+            minPlayers = 1,
+            maxPlayers = 1,
+            teamBased = false,
+            blurb = "The tee game from the table, and four larger boards. Jump a peg, " +
+                "take the one you passed, and try to finish with one standing.",
+            available = true,
+        ),
         GameDescriptor(
             id = PIRATES,
             title = "Pirates and Bulgars",
diff --git a/app/src/main/java/org/prolibertate/games/game/hearts/HeartsAi.kt b/app/src/main/java/org/prolibertate/games/game/hearts/HeartsAi.kt
new file mode 100644
index 0000000..a9e1ca9
--- /dev/null
+++ b/app/src/main/java/org/prolibertate/games/game/hearts/HeartsAi.kt
@@ -0,0 +1,108 @@
+package org.prolibertate.games.game.hearts
+
+import org.prolibertate.games.game.cards.Card
+import org.prolibertate.games.game.cards.Rank
+import org.prolibertate.games.game.cards.Suit
+import org.prolibertate.games.game.engine.GameAi
+
+/**
+ * A cautious Hearts player.
+ *
+ * It plays to avoid points rather than to shoot the moon: it sheds the queen of
+ * spades and the guards above her at the first opportunity, ducks under whoever
+ * is winning a trick when it can, and takes a trick as cheaply as possible when
+ * it cannot get out of the way. That is enough to make it an opponent worth
+ * beating without pretending to read the table.
+ */
+object HeartsAi : GameAi<HeartsState, HeartsMove> {
+
+    override fun chooseMove(state: HeartsState, seat: Int, legal: List<HeartsMove>): HeartsMove {
+        require(legal.isNotEmpty()) { "No legal move for seat $seat" }
+        return when (state.phase) {
+            HeartsPhase.PASSING -> choosePass(state, seat, legal)
+            else -> choosePlay(state, seat, legal)
+        }
+    }
+
+    private fun choosePass(state: HeartsState, seat: Int, legal: List<HeartsMove>): HeartsMove {
+        val hand = state.hands[seat]
+        val wanted = hand.sortedByDescending { passDanger(it, hand) }.take(PASS_SIZE).toSet()
+        // Prefer the exact bundle the heuristic asked for, but fall back rather
+        // than fail: the caller's list is what the host will validate against.
+        return legal.firstOrNull { it is PassCards && it.cards.toSet() == wanted } ?: legal.first()
+    }
+
+    /**
+     * How much a card wants to be somebody else's problem.
+     *
+     * The queen is the whole game, and the ace and king of spades are only
+     * dangerous because they can be forced to capture her — so a long spade
+     * holding, which gives room to duck, makes all three far less urgent.
+     */
+    private fun passDanger(card: Card, hand: List<Card>): Int {
+        val spades = hand.count { it.suit == Suit.SPADES }
+        val guarded = spades >= 5
+        return when {
+            card == QUEEN_OF_SPADES -> if (guarded) 45 else 100
+            card.suit == Suit.SPADES && card.rank.order > Rank.QUEEN.order ->
+                if (guarded) 30 else 90
+
+            card.suit == Suit.HEARTS -> 40 + card.rank.order
+            else -> card.rank.order
+        }
+    }
+
+    private fun choosePlay(state: HeartsState, seat: Int, legal: List<HeartsMove>): HeartsMove {
+        val cards = legal.filterIsInstance<PlayCard>().map { it.card }
+        if (cards.isEmpty()) return legal.first()
+        val chosen = when {
+            state.trick.isEmpty() -> lead(cards)
+            else -> follow(state, cards)
+        }
+        return PlayCard(chosen)
+    }
+
+    /**
+     * Leads low, and keeps off spades while the queen is still unaccounted for —
+     * leading a spade under her is how a seat ends up holding her.
+     */
+    private fun lead(cards: List<Card>): Card {
+        val offSpades = cards.filter { it.suit != Suit.SPADES }
+        val pool = if (offSpades.isNotEmpty()) offSpades else cards
+        return pool.minBy { it.rank.order }
+    }
+
+    private fun follow(state: HeartsState, cards: List<Card>): Card {
+        val led = state.trick.first().card.suit
+        val best = state.trick.maxOf { trickStrength(it.card, led) }
+        val pot = pointsIn(state.trick.map { it.card })
+        val last = state.trick.size == state.options.playerCount - 1
+
+        val ducking = cards.filter { trickStrength(it, led) < best }
+        if (ducking.isNotEmpty()) {
+            // Safe under the current winner, so shed the most expensive card
+            // that still loses.
+            return ducking.maxBy { it.rank.order + pointsOf(it) * 2 }
+        }
+
+        val void = cards.none { it.suit == led }
+        if (void) return discard(cards)
+
+        // Every card left would take the trick. Playing last with nothing in the
+        // pot means it costs nothing, so there is no reason to waste a high card
+        // on it; otherwise take it as cheaply as possible.
+        return if (last && pot == 0) cards.maxBy { it.rank.order } else cards.minBy { it.rank.order }
+    }
+
+    /** Void in the led suit and free to throw anything, so throw the worst of it. */
+    private fun discard(cards: List<Card>): Card {
+        cards.firstOrNull { it == QUEEN_OF_SPADES }?.let { return it }
+        cards.filter { it.suit == Suit.SPADES && it.rank.order > Rank.QUEEN.order }
+            .maxByOrNull { it.rank.order }
+            ?.let { return it }
+        cards.filter { it.suit == Suit.HEARTS }
+            .maxByOrNull { it.rank.order }
+            ?.let { return it }
+        return cards.maxBy { it.rank.order }
+    }
+}
diff --git a/app/src/main/java/org/prolibertate/games/game/hearts/HeartsModel.kt b/app/src/main/java/org/prolibertate/games/game/hearts/HeartsModel.kt
new file mode 100644
index 0000000..63c56ef
--- /dev/null
+++ b/app/src/main/java/org/prolibertate/games/game/hearts/HeartsModel.kt
@@ -0,0 +1,164 @@
+package org.prolibertate.games.game.hearts
+
+import kotlinx.serialization.SerialName
+import kotlinx.serialization.Serializable
+import org.prolibertate.games.game.cards.Card
+import org.prolibertate.games.game.cards.Rank
+import org.prolibertate.games.game.cards.Suit
+
+@Serializable
+data class HeartsOptions(
+    /**
+     * Four hands of thirteen, which is the game as it is normally played. Three
+     * and five handed Hearts exist, but they need cards struck from the deck to
+     * divide evenly, and a seat that holds a different number of cards from its
+     * neighbours changes which discards are safe — a different game to bid and
+     * play, not a seat count.
+     */
+    val playerCount: Int = 4,
+    /** The round in which somebody crosses this ends the game. */
+    val targetScore: Int = 100,
+    /**
+     * Taking all twenty-six points scores nothing and gives everyone else the
+     * lot. Switching this off scores a moon like any other hand, which is to say
+     * it becomes the worst result on the table rather than the best.
+     */
+    val allowShootTheMoon: Boolean = true,
+) {
+    init {
+        require(playerCount == 4) { "Hearts is dealt four handed" }
+        require(targetScore > 0) { "targetScore must be positive" }
+    }
+}
+
+/**
+ * Where the three passed cards go. The cycle repeats every fourth round, and
+ * the hold round is what stops a seat from planning around a known direction
+ * forever.
+ */
+@Serializable
+enum class PassDirection(val label: String) {
+    LEFT("left"),
+    RIGHT("right"),
+    ACROSS("across"),
+    HOLD("nobody"),
+    ;
+
+    companion object {
+        /** Rounds run left, right, across, hold, and back to left. */
+        fun forRound(round: Int): PassDirection = entries[round % entries.size]
+    }
+}
+
+@Serializable
+enum class HeartsPhase { PASSING, PLAYING, ROUND_OVER, GAME_OVER }
+
+@Serializable
+data class PlayedCard(val seat: Int, val card: Card)
+
+@Serializable
+data class HeartsState(
+    val options: HeartsOptions,
+    val seed: Long,
+    /** Zero-based. Only used to pick the pass direction and to number the log. */
+    val round: Int,
+    val phase: HeartsPhase,
+    val hands: List<List<Card>>,
+    /** Survives redaction so a client can draw the backs of other hands. */
+    val handCounts: List<Int>,
+    /** What each seat has chosen to pass, before the swap happens. */
+    val passSelections: List<List<Card>>,
+    val turn: Int,
+    val leader: Int,
+    /**
+     * Which trick of the round is being played, counting from zero. Carried
+     * rather than derived because the first trick is the one that bans point
+     * cards, and a rule that important should not depend on reading it back out
+     * of how many cards happen to have been taken.
+     */
+    val trickNumber: Int,
+    val trick: List<PlayedCard>,
+    /** Held on the table so a finished trick can be read before it is swept. */
+    val completedTrick: List<PlayedCard> = emptyList(),
+    /**
+     * Every card each seat has taken in tricks this round. Kept whole rather
+     * than as a running count because shooting the moon is decided on the
+     * twenty-six penalty cards together, not on a total that cannot tell an
+     * unbroken moon from thirteen hearts and a lucky queen elsewhere.
+     */
+    val taken: List<List<Card>>,
+    val heartsBroken: Boolean,
+    val scores: List<Int>,
+    val roundScores: List<Int>,
+    val log: List<String>,
+) {
+    val passDirection: PassDirection get() = PassDirection.forRound(round)
+
+    /** Thirteen, four handed: every card dealt is a card played. */
+    val tricksPerRound: Int get() = DECK_SIZE / options.playerCount
+}
+
+/** An ordinary pack, which Hearts uses whole. */
+const val DECK_SIZE: Int = 52
+
+@Serializable
+sealed interface HeartsMove
+
+/** The three cards this seat is giving away. Order does not matter. */
+@Serializable
+@SerialName("pass")
+data class PassCards(val cards: List<Card>) : HeartsMove
+
+@Serializable
+@SerialName("play")
+data class PlayCard(val card: Card) : HeartsMove
+
+/** How many cards change hands in a pass. */
+const val PASS_SIZE: Int = 3
+
+val QUEEN_OF_SPADES: Card = Card(Rank.QUEEN, Suit.SPADES)
+
+/** The two of clubs always leads the first trick of a round. */
+val TWO_OF_CLUBS: Card = Card(Rank.TWO, Suit.CLUBS)
+
+/** Every heart costs a point; the queen of spades costs thirteen. */
+fun pointsOf(card: Card): Int = when {
+    card == QUEEN_OF_SPADES -> 13
+    card.suit == Suit.HEARTS -> 1
+    else -> 0
+}
+
+/** The whole twenty-six, which is what a moon has to consist of. */
+const val ALL_POINTS: Int = 26
+
+fun pointsIn(cards: List<Card>): Int = cards.sumOf { pointsOf(it) }
+
+/** Which seat receives what [from] passes, given the round's direction. */
+fun passTarget(from: Int, playerCount: Int, direction: PassDirection): Int = when (direction) {
+    PassDirection.LEFT -> (from + 1) % playerCount
+    PassDirection.RIGHT -> (from + playerCount - 1) % playerCount
+    PassDirection.ACROSS -> (from + playerCount / 2) % playerCount
+    PassDirection.HOLD -> from
+}
+
+/**
+ * Ranks a card within a trick. Nothing trumps in Hearts, so a card that did not
+ * follow the led suit cannot win however high it is.
+ */
+fun trickStrength(card: Card, ledSuit: Suit): Int =
+    if (card.suit == ledSuit) card.rank.order else -1
+
+/**
+ * Turns a round's takings into the points each seat adds to its score.
+ *
+ * A seat that took all twenty-six has shot the moon: it scores nothing and
+ * every other seat takes the lot. That is the one case where a round's scores
+ * do not sum to twenty-six.
+ */
+fun scoreRound(taken: List<List<Card>>, allowShootTheMoon: Boolean): List<Int> {
+    val raw = taken.map { pointsIn(it) }
+    if (!allowShootTheMoon) return raw
+    val shooter = raw.indexOfFirst { it == ALL_POINTS }
+    if (shooter < 0) return raw
+    return raw.indices.map { if (it == shooter) 0 else ALL_POINTS }
+}
diff --git a/app/src/main/java/org/prolibertate/games/game/hearts/HeartsRules.kt b/app/src/main/java/org/prolibertate/games/game/hearts/HeartsRules.kt
new file mode 100644
index 0000000..4185381
--- /dev/null
+++ b/app/src/main/java/org/prolibertate/games/game/hearts/HeartsRules.kt
@@ -0,0 +1,294 @@
+package org.prolibertate.games.game.hearts
+
+import kotlinx.serialization.encodeToString
+import kotlinx.serialization.json.Json
+import org.prolibertate.games.game.GameCatalog
+import org.prolibertate.games.game.cards.Card
+import org.prolibertate.games.game.cards.Decks
+import org.prolibertate.games.game.cards.Suit
+import org.prolibertate.games.game.cards.shuffledWith
+import org.prolibertate.games.game.engine.GameRules
+import org.prolibertate.games.game.engine.TableConfig
+import kotlin.random.Random
+
+/**
+ * Hearts as a pure state machine. See RULES-hearts.md.
+ */
+object HeartsRules : GameRules<HeartsState, HeartsMove> {
+
+    override val gameId: String = GameCatalog.HEARTS
+
+    private val json = Json {
+        ignoreUnknownKeys = true
+        encodeDefaults = true
+    }
+
+    override fun initialState(config: TableConfig): HeartsState {
+        val options = json.decodeFromString<HeartsOptions>(config.optionsJson)
+        require(config.seats.size == options.playerCount) {
+            "Seat count ${config.seats.size} does not match ${options.playerCount} players"
+        }
+        return deal(options, config.seed, 0, List(options.playerCount) { 0 }, listOf("Round 1."))
+    }
+
+    private fun deal(
+        options: HeartsOptions,
+        seed: Long,
+        round: Int,
+        scores: List<Int>,
+        log: List<String>,
+    ): HeartsState {
+        // A fresh generator per round, keyed on the round, so the whole game is
+        // reproducible from the one seed the host shipped with the table.
+        val random = Random(seed + round)
+        val deck = Decks.standard52().shuffledWith(random)
+        val perHand = deck.size / options.playerCount
+        val hands = (0 until options.playerCount).map { seat ->
+            deck.subList(seat * perHand, (seat + 1) * perHand).sortedWith(handOrder)
+        }
+        val direction = PassDirection.forRound(round)
+        val passing = direction != PassDirection.HOLD
+        // A hold round has nothing to swap, so it opens straight onto the lead.
+        val opener = if (passing) 0 else holderOfTwoOfClubs(hands)
+        return HeartsState(
+            options = options,
+            seed = seed,
+            round = round,
+            phase = if (passing) HeartsPhase.PASSING else HeartsPhase.PLAYING,
+            hands = hands,
+            handCounts = hands.map { it.size },
+            passSelections = List(options.playerCount) { emptyList() },
+            turn = opener,
+            leader = opener,
+            trickNumber = 0,
+            trick = emptyList(),
+            completedTrick = emptyList(),
+            taken = List(options.playerCount) { emptyList() },
+            heartsBroken = false,
+            scores = scores,
+            roundScores = List(options.playerCount) { 0 },
+            log = log + if (passing) "Passing ${direction.label}." else "No passing this round.",
+        )
+    }
+
+    /** Sorted by suit then rank, which is how a hand is held rather than dealt. */
+    private val handOrder = compareBy<Card>({ it.suit.ordinal }, { it.rank.order })
+
+    private fun holderOfTwoOfClubs(hands: List<List<Card>>): Int =
+        hands.indexOfFirst { it.contains(TWO_OF_CLUBS) }
+
+    override fun currentSeat(state: HeartsState): Int? = when (state.phase) {
+        // Passing is simultaneous at the table, but the engine hands out one
+        // seat at a time. The lowest seat that has not chosen goes next, and
+        // the swap happens once the last one has.
+        HeartsPhase.PASSING -> state.passSelections.indexOfFirst { it.isEmpty() }.takeIf { it >= 0 }
+        HeartsPhase.PLAYING -> state.turn
+        HeartsPhase.ROUND_OVER, HeartsPhase.GAME_OVER -> null
+    }
+
+    override fun legalMoves(state: HeartsState, seat: Int): List<HeartsMove> =
+        when (state.phase) {
+            HeartsPhase.PASSING ->
+                if (state.passSelections[seat].isNotEmpty()) {
+                    emptyList()
+                } else {
+                    combinations(state.hands[seat], PASS_SIZE).map { PassCards(it) }
+                }
+
+            HeartsPhase.PLAYING ->
+                if (state.turn != seat) emptyList() else playableCards(state, seat).map { PlayCard(it) }
+
+            HeartsPhase.ROUND_OVER, HeartsPhase.GAME_OVER -> emptyList()
+        }
+
+    /**
+     * The cards [seat] may legally play into the trick as it stands.
+     *
+     * Four restrictions, in the order they bite: the two of clubs opens the
+     * round, a seat that can follow the led suit must, no point card may be
+     * discarded on the first trick, and hearts cannot be led until one has been
+     * played. Each of the last three lifts when a seat holds nothing else.
+     */
+    fun playableCards(state: HeartsState, seat: Int): List<Card> {
+        val hand = state.hands[seat]
+        if (hand.isEmpty()) return emptyList()
+        val firstTrick = state.trickNumber == 0
+
+        if (state.trick.isEmpty()) {
+            if (firstTrick) return listOf(TWO_OF_CLUBS).filter { hand.contains(it) }
+            val offHearts = hand.filter { it.suit != Suit.HEARTS }
+            // Hearts may only be led once broken — unless that is all there is
+            // left to lead, in which case the restriction cannot be honoured.
+            return if (state.heartsBroken || offHearts.isEmpty()) hand else offHearts
+        }
+
+        val led = state.trick.first().card.suit
+        val following = hand.filter { it.suit == led }
+        if (following.isNotEmpty()) return following
+
+        // Void in the led suit, so anything goes — except that the first trick
+        // takes no points while the seat has a card that costs none.
+        if (firstTrick) {
+            val harmless = hand.filter { pointsOf(it) == 0 }
+            if (harmless.isNotEmpty()) return harmless
+        }
+        return hand
+    }
+
+    override fun applyMove(state: HeartsState, seat: Int, move: HeartsMove): HeartsState =
+        when (move) {
+            is PassCards -> applyPass(state, seat, move)
+            is PlayCard -> applyPlay(state, seat, move)
+        }
+
+    private fun applyPass(state: HeartsState, seat: Int, move: PassCards): HeartsState {
+        require(state.phase == HeartsPhase.PASSING) { "Not passing" }
+        require(state.passSelections[seat].isEmpty()) { "Seat $seat has already passed" }
+        require(move.cards.size == PASS_SIZE) { "A pass is $PASS_SIZE cards" }
+        require(move.cards.distinct().size == PASS_SIZE) { "Cannot pass the same card twice" }
+        val hand = state.hands[seat]
+        require(move.cards.all { hand.contains(it) }) { "Cannot pass a card not held" }
+
+        val selections = state.passSelections.toMutableList()
+        selections[seat] = move.cards
+        if (selections.any { it.isEmpty() }) {
+            return state.copy(passSelections = selections)
+        }
+        return completePass(state.copy(passSelections = selections))
+    }
+
+    /** Everyone has chosen, so the three-card bundles change hands at once. */
+    private fun completePass(state: HeartsState): HeartsState {
+        val direction = state.passDirection
+        val count = state.options.playerCount
+        val incoming = MutableList(count) { emptyList<Card>() }
+        for (from in 0 until count) {
+            incoming[passTarget(from, count, direction)] = state.passSelections[from]
+        }
+        val hands = state.hands.mapIndexed { seat, hand ->
+            (hand - state.passSelections[seat].toSet() + incoming[seat]).sortedWith(handOrder)
+        }
+        val opener = holderOfTwoOfClubs(hands)
+        return state.copy(
+            phase = HeartsPhase.PLAYING,
+            hands = hands,
+            handCounts = hands.map { it.size },
+            turn = opener,
+            leader = opener,
+            log = state.log + "Cards passed ${direction.label}.",
+        )
+    }
+
+    private fun applyPlay(state: HeartsState, seat: Int, move: PlayCard): HeartsState {
+        require(state.phase == HeartsPhase.PLAYING) { "Not playing" }
+        require(state.turn == seat) { "Seat $seat is not on the clock" }
+        require(playableCards(state, seat).contains(move.card)) { "${move.card} is not playable" }
+
+        val hands = state.hands.toMutableList()
+        hands[seat] = hands[seat] - move.card
+        val trick = state.trick + PlayedCard(seat, move.card)
+        val broken = state.heartsBroken || move.card.suit == Suit.HEARTS
+
+        if (trick.size < state.options.playerCount) {
+            return state.copy(
+                hands = hands,
+                handCounts = hands.map { it.size },
+                trick = trick,
+                completedTrick = emptyList(),
+                turn = (seat + 1) % state.options.playerCount,
+                heartsBroken = broken,
+            )
+        }
+
+        val led = trick.first().card.suit
+        val winner = trick.maxBy { trickStrength(it.card, led) }.seat
+        val taken = state.taken.toMutableList()
+        taken[winner] = taken[winner] + trick.map { it.card }
+        val swept = state.copy(
+            hands = hands,
+            handCounts = hands.map { it.size },
+            trick = emptyList(),
+            completedTrick = trick,
+            taken = taken,
+            heartsBroken = broken,
+            turn = winner,
+            leader = winner,
+            trickNumber = state.trickNumber + 1,
+        )
+        return if (hands.all { it.isEmpty() }) finishRound(swept) else swept
+    }
+
+    private fun finishRound(state: HeartsState): HeartsState {
+        val gained = scoreRound(state.taken, state.options.allowShootTheMoon)
+        val scores = state.scores.mapIndexed { seat, score -> score + gained[seat] }
+        val moon = state.taken.indexOfFirst { pointsIn(it) == ALL_POINTS }
+        val over = scores.any { it >= state.options.targetScore }
+        val notes = buildList {
+            if (moon >= 0 && state.options.allowShootTheMoon) add("Seat $moon shot the moon.")
+            add("Round ${state.round + 1} scored.")
+            if (over) add("Game over — lowest score wins.")
+        }
+        return state.copy(
+            phase = if (over) HeartsPhase.GAME_OVER else HeartsPhase.ROUND_OVER,
+            scores = scores,
+            roundScores = gained,
+            log = state.log + notes,
+        )
+    }
+
+    /** Advances from [HeartsPhase.ROUND_OVER] into the next deal. */
+    fun startNextRound(state: HeartsState): HeartsState {
+        check(state.phase == HeartsPhase.ROUND_OVER) { "Round is not over" }
+        val next = state.round + 1
+        return deal(state.options, state.seed, next, state.scores, state.log + "Round ${next + 1}.")
+    }
+
+    override fun isFinished(state: HeartsState): Boolean = state.phase == HeartsPhase.GAME_OVER
+
+    override fun summary(state: HeartsState): String = when (state.phase) {
+        HeartsPhase.PASSING -> "Passing ${state.passDirection.label}"
+        HeartsPhase.PLAYING -> "Trick ${state.trickNumber + 1} of ${state.tricksPerRound}"
+        HeartsPhase.ROUND_OVER -> "Round ${state.round + 1}: " + state.roundScores.joinToString(", ")
+        HeartsPhase.GAME_OVER -> {
+            val best = state.scores.min()
+            "Winner: seat ${state.scores.indexOf(best)} on $best"
+        }
+    }
+
+    /**
+     * Other hands go, and so do the cards they have chosen to pass — a pass is
+     * secret until it lands, and a client that could read the selections would
+     * know exactly what is coming.
+     */
+    override fun viewFor(state: HeartsState, seat: Int): HeartsState = state.copy(
+        hands = state.hands.mapIndexed { index, hand -> if (index == seat) hand else emptyList() },
+        handCounts = state.handCounts,
+        passSelections = state.passSelections.mapIndexed { index, cards ->
+            if (index == seat) cards else emptyList()
+        },
+    )
+
+    override fun encodeState(state: HeartsState): String = json.encodeToString(state)
+    override fun decodeState(json: String): HeartsState = this.json.decodeFromString(json)
+    override fun encodeMove(move: HeartsMove): String = json.encodeToString(move)
+    override fun decodeMove(json: String): HeartsMove = this.json.decodeFromString(json)
+
+    /** Every distinct [size]-card selection from [cards], order ignored. */
+    private fun combinations(cards: List<Card>, size: Int): List<List<Card>> {
+        if (size == 0) return listOf(emptyList())
+        if (cards.size < size) return emptyList()
+        val result = mutableListOf<List<Card>>()
+        fun walk(start: Int, chosen: List<Card>) {
+            if (chosen.size == size) {
+                result.add(chosen)
+                return
+            }
+            // Stop early once too few cards remain to finish the selection.
+            for (i in start..cards.size - (size - chosen.size)) {
+                walk(i + 1, chosen + cards[i])
+            }
+        }
+        walk(0, emptyList())
+        return result
+    }
+}
diff --git a/app/src/main/java/org/prolibertate/games/game/pegsolitaire/PegSolitaireAi.kt b/app/src/main/java/org/prolibertate/games/game/pegsolitaire/PegSolitaireAi.kt
new file mode 100644
index 0000000..0b73946
--- /dev/null
+++ b/app/src/main/java/org/prolibertate/games/game/pegsolitaire/PegSolitaireAi.kt
@@ -0,0 +1,54 @@
+package org.prolibertate.games.game.pegsolitaire
+
+import org.prolibertate.games.game.engine.GameAi
+
+/**
+ * Plays the board for the one seat.
+ *
+ * Nothing normally asks it to: the single seat belongs to the person holding the
+ * phone, so this never runs during an ordinary game. It exists because a seat
+ * that could be left empty has to be playable by something, and because a
+ * one-move-deep chooser is exactly what a "suggest a jump" button would want.
+ *
+ * The heuristic is the one every good peg player uses by hand: keep the pegs
+ * together. A jump that leaves more jumps behind it has not painted the board
+ * into a corner, and pulling toward the middle stops a stranded peg being left
+ * out on an arm where nothing can ever reach it.
+ */
+object PegSolitaireAi : GameAi<PegSolitaireState, PegSolitaireMove> {
+
+    override fun chooseMove(
+        state: PegSolitaireState,
+        seat: Int,
+        legal: List<PegSolitaireMove>,
+    ): PegSolitaireMove {
+        require(legal.isNotEmpty()) { "No jump available" }
+        val jumps = legal.filterIsInstance<PegJump>()
+        if (jumps.isEmpty()) return legal.first()
+        return jumps.maxBy { score(state, it) }
+    }
+
+    private fun score(state: PegSolitaireState, jump: PegJump): Int {
+        val after = state.copy(pegs = state.pegs - jump.from - jump.over + jump.to)
+        // Solving outright beats every other consideration.
+        if (after.solved) return Int.MAX_VALUE
+        val followUps = PegSolitaireRules.legalJumps(after).size
+        return followUps * 10 - spread(after)
+    }
+
+    /**
+     * How far the pegs sit from their own centre, in whole holes.
+     *
+     * A smaller number is a tighter cluster. Manhattan distance is the right
+     * measure on both board shapes here, because a jump moves two steps along one
+     * of the grid's own directions either way.
+     */
+    private fun spread(state: PegSolitaireState): Int {
+        if (state.pegs.isEmpty()) return 0
+        val meanRow = state.pegs.sumOf { it.row } / state.pegs.size
+        val meanCol = state.pegs.sumOf { it.col } / state.pegs.size
+        return state.pegs.sumOf {
+            kotlin.math.abs(it.row - meanRow) + kotlin.math.abs(it.col - meanCol)
+        }
+    }
+}
diff --git a/app/src/main/java/org/prolibertate/games/game/pegsolitaire/PegSolitaireModel.kt b/app/src/main/java/org/prolibertate/games/game/pegsolitaire/PegSolitaireModel.kt
new file mode 100644
index 0000000..2112031
--- /dev/null
+++ b/app/src/main/java/org/prolibertate/games/game/pegsolitaire/PegSolitaireModel.kt
@@ -0,0 +1,153 @@
+package org.prolibertate.games.game.pegsolitaire
+
+import kotlinx.serialization.SerialName
+import kotlinx.serialization.Serializable
+
+/**
+ * A hole in the board, by row and column.
+ *
+ * Both geometries the boards come in are indexed this way, which is what lets
+ * one jump rule serve them all: a triangular row is simply shorter than the one
+ * below it, and a cross is a square with pieces bitten out of the corners.
+ */
+@Serializable
+data class Hole(val row: Int, val col: Int)
+
+/**
+ * The boards this plays on.
+ *
+ * Two shapes of grid, and the difference between them is only how many
+ * directions a peg can jump in. On a triangle a hole has six neighbours, because
+ * the rows are staggered; on a square board it has four, because they are not.
+ * Everything else — the jump, the goal, the dead end — is the same game.
+ */
+@Serializable
+enum class PegBoard(val label: String, val holeCount: Int) {
+    /** The tee game found on a restaurant table: five rows, fifteen holes. */
+    TRIANGLE_15("Triangle of 15", 15),
+    TRIANGLE_21("Triangle of 21", 21),
+
+    /** The classic cross: a seven by seven square with two-by-two corners cut. */
+    ENGLISH_CROSS("English cross", 33),
+
+    /** The continental board, with a shallower cut that leaves four more holes. */
+    FRENCH_CROSS("French cross", 37),
+    DIAMOND_41("Diamond of 41", 41),
+    ;
+
+    val isTriangular: Boolean get() = this == TRIANGLE_15 || this == TRIANGLE_21
+
+    /** Every hole on this board. */
+    fun holes(): Set<Hole> = when (this) {
+        TRIANGLE_15 -> triangle(5)
+        TRIANGLE_21 -> triangle(6)
+        // 49 less the four two-by-two corners.
+        ENGLISH_CROSS -> square(7) { r, c -> r in 2..4 || c in 2..4 }
+        // 49 less a three-hole triangle at each corner.
+        FRENCH_CROSS -> square(7) { r, c ->
+            val fromEdgeRow = minOf(r, 6 - r)
+            val fromEdgeCol = minOf(c, 6 - c)
+            fromEdgeRow + fromEdgeCol >= 2
+        }
+
+        DIAMOND_41 -> square(9) { r, c -> kotlin.math.abs(r - 4) + kotlin.math.abs(c - 4) <= 4 }
+    }
+
+    /**
+     * The directions a jump may run in, as row and column steps.
+     *
+     * Diagonals are not among the four on a square board: a peg moves along a
+     * rank or a file and nowhere else, which is what makes the cross boards hard.
+     */
+    fun directions(): List<Pair<Int, Int>> = if (isTriangular) {
+        listOf(0 to -1, 0 to 1, -1 to -1, -1 to 0, 1 to 0, 1 to 1)
+    } else {
+        listOf(0 to -1, 0 to 1, -1 to 0, 1 to 0)
+    }
+
+    /** Where the one empty hole sits when nothing else is chosen. */
+    fun defaultStart(): Hole = when {
+        // The apex, which is how the tee game is set out on the table.
+        isTriangular -> Hole(0, 0)
+        this == DIAMOND_41 -> Hole(4, 4)
+        else -> Hole(3, 3)
+    }
+
+    private fun triangle(rows: Int): Set<Hole> =
+        (0 until rows).flatMap { r -> (0..r).map { c -> Hole(r, c) } }.toSet()
+
+    private fun square(size: Int, keep: (Int, Int) -> Boolean): Set<Hole> =
+        (0 until size).flatMap { r ->
+            (0 until size).mapNotNull { c -> Hole(r, c).takeIf { keep(r, c) } }
+        }.toSet()
+}
+
+/**
+ * What counts as having won.
+ *
+ * Leaving one peg anywhere is the game as it is usually played. Leaving it in
+ * the hole the board started empty is the harder problem, and on the English
+ * cross it is the one the puzzle is famous for.
+ */
+@Serializable
+enum class PegGoal(val label: String) {
+    ONE_PEG("Leave one peg"),
+    ONE_PEG_IN_START("Leave one peg, in the starting hole"),
+}
+
+@Serializable
+data class PegSolitaireOptions(
+    val board: PegBoard = PegBoard.TRIANGLE_15,
+    val goal: PegGoal = PegGoal.ONE_PEG,
+    /**
+     * The hole left empty at the start. Null takes the board's own default,
+     * which keeps a saved table valid if the default ever moves.
+     */
+    val startEmpty: Hole? = null,
+) {
+    /** The empty hole this table actually opens with. */
+    fun start(): Hole = startEmpty ?: board.defaultStart()
+
+    init {
+        require(board.holes().contains(start())) {
+            "${start()} is not a hole on the ${board.label}"
+        }
+    }
+}
+
+@Serializable
+data class PegSolitaireState(
+    val options: PegSolitaireOptions,
+    /** Which holes still hold a peg. Everything else on the board is empty. */
+    val pegs: Set<Hole>,
+    val jumps: Int,
+    /** Held so the screen can show what just happened. */
+    val lastJump: PegJump? = null,
+    val log: List<String>,
+) {
+    val board: PegBoard get() = options.board
+
+    val remaining: Int get() = pegs.size
+
+    /** True once the board matches what the chosen goal asked for. */
+    val solved: Boolean
+        get() = remaining == 1 && when (options.goal) {
+            PegGoal.ONE_PEG -> true
+            PegGoal.ONE_PEG_IN_START -> pegs.first() == options.start()
+        }
+}
+
+@Serializable
+sealed interface PegSolitaireMove
+
+/**
+ * A peg jumps a neighbour and lands two holes away, and the peg it jumped is
+ * taken off. [over] is not carried because a jump is always exactly two steps in
+ * one direction, so the hole between the ends is the only one it can be —
+ * storing it would be a second copy of the same fact, free to disagree.
+ */
+@Serializable
+@SerialName("jump")
+data class PegJump(val from: Hole, val to: Hole) : PegSolitaireMove {
+    val over: Hole get() = Hole((from.row + to.row) / 2, (from.col + to.col) / 2)
+}
diff --git a/app/src/main/java/org/prolibertate/games/game/pegsolitaire/PegSolitaireRules.kt b/app/src/main/java/org/prolibertate/games/game/pegsolitaire/PegSolitaireRules.kt
new file mode 100644
index 0000000..e885805
--- /dev/null
+++ b/app/src/main/java/org/prolibertate/games/game/pegsolitaire/PegSolitaireRules.kt
@@ -0,0 +1,127 @@
+package org.prolibertate.games.game.pegsolitaire
+
+import kotlinx.serialization.encodeToString
+import kotlinx.serialization.json.Json
+import org.prolibertate.games.game.GameCatalog
+import org.prolibertate.games.game.engine.GameRules
+import org.prolibertate.games.game.engine.TableConfig
+
+/**
+ * Peg solitaire as a pure state machine. See RULES-pegsolitaire.md.
+ *
+ * The first game here played by one person, which the engine takes in its
+ * stride: there is one seat, it is always on the clock until the board runs out
+ * of jumps, and [viewFor] has nothing to hide because there is nobody to hide it
+ * from.
+ */
+object PegSolitaireRules : GameRules<PegSolitaireState, PegSolitaireMove> {
+
+    override val gameId: String = GameCatalog.PEG_SOLITAIRE
+
+    /** The one seat. Named rather than written as a bare 0 at each use. */
+    const val SOLO_SEAT: Int = 0
+
+    private val json = Json {
+        ignoreUnknownKeys = true
+        encodeDefaults = true
+    }
+
+    override fun initialState(config: TableConfig): PegSolitaireState {
+        val options = json.decodeFromString<PegSolitaireOptions>(config.optionsJson)
+        require(config.seats.size == 1) {
+            "Peg solitaire seats one, not ${config.seats.size}"
+        }
+        val start = options.start()
+        return PegSolitaireState(
+            options = options,
+            pegs = options.board.holes() - start,
+            jumps = 0,
+            lastJump = null,
+            log = listOf("${options.board.label}, opening at row ${start.row + 1}."),
+        )
+    }
+
+    /**
+     * Every jump available on the board as it stands.
+     *
+     * A jump needs three holes in a line: a peg to move, a peg beside it to take,
+     * and an empty hole beyond. Checking that the landing hole is on the board is
+     * what keeps a jump from running off a triangle's short row or out through a
+     * cross's missing corner.
+     */
+    fun legalJumps(state: PegSolitaireState): List<PegJump> {
+        val holes = state.board.holes()
+        val directions = state.board.directions()
+        return state.pegs.flatMap { from ->
+            directions.mapNotNull { (dr, dc) ->
+                val over = Hole(from.row + dr, from.col + dc)
+                val to = Hole(from.row + 2 * dr, from.col + 2 * dc)
+                // `over` holding a peg already implies it is a hole, since a peg
+                // can only ever sit in one.
+                val ok = state.pegs.contains(over) &&
+                    holes.contains(to) &&
+                    !state.pegs.contains(to)
+                if (ok) PegJump(from, to) else null
+            }
+        }
+    }
+
+    override fun currentSeat(state: PegSolitaireState): Int? =
+        if (isFinished(state)) null else SOLO_SEAT
+
+    override fun legalMoves(state: PegSolitaireState, seat: Int): List<PegSolitaireMove> =
+        if (seat != SOLO_SEAT) emptyList() else legalJumps(state)
+
+    override fun applyMove(
+        state: PegSolitaireState,
+        seat: Int,
+        move: PegSolitaireMove,
+    ): PegSolitaireState {
+        require(seat == SOLO_SEAT) { "Peg solitaire has one seat" }
+        val jump = move as PegJump
+        require(legalJumps(state).contains(jump)) { "$jump is not a legal jump" }
+        val pegs = state.pegs - jump.from - jump.over + jump.to
+        val next = state.copy(
+            pegs = pegs,
+            jumps = state.jumps + 1,
+            lastJump = jump,
+        )
+        val note = when {
+            next.solved -> "Solved in ${next.jumps} jumps."
+            legalJumps(next).isEmpty() -> "No jumps left, ${next.remaining} pegs standing."
+            else -> null
+        }
+        return if (note == null) next else next.copy(log = next.log + note)
+    }
+
+    /** The board is finished when nothing can jump, whether or not it was solved. */
+    override fun isFinished(state: PegSolitaireState): Boolean = legalJumps(state).isEmpty()
+
+    override fun summary(state: PegSolitaireState): String = when {
+        state.solved -> "Solved in ${state.jumps} jumps"
+        isFinished(state) -> "Stuck with ${state.remaining} pegs"
+        else -> "${state.remaining} pegs, ${legalJumps(state).size} jumps available"
+    }
+
+    /**
+     * Nothing to strip. One person plays, the whole board is face up in front of
+     * them, and there is no second seat that could be told less than the truth.
+     */
+    override fun viewFor(state: PegSolitaireState, seat: Int): PegSolitaireState = state
+
+    override fun encodeState(state: PegSolitaireState): String = json.encodeToString(state)
+    override fun decodeState(json: String): PegSolitaireState = this.json.decodeFromString(json)
+    override fun encodeMove(move: PegSolitaireMove): String = json.encodeToString(move)
+    override fun decodeMove(json: String): PegSolitaireMove = this.json.decodeFromString(json)
+
+    /** Deals the same board again, so a lost game can be retried from the start. */
+    fun restart(state: PegSolitaireState): PegSolitaireState {
+        val start = state.options.start()
+        return state.copy(
+            pegs = state.options.board.holes() - start,
+            jumps = 0,
+            lastJump = null,
+            log = state.log + "Board reset.",
+        )
+    }
+}
diff --git a/app/src/main/java/org/prolibertate/games/ui/AppRoot.kt b/app/src/main/java/org/prolibertate/games/ui/AppRoot.kt
index e7ae875..e140fc3 100644
--- a/app/src/main/java/org/prolibertate/games/ui/AppRoot.kt
+++ b/app/src/main/java/org/prolibertate/games/ui/AppRoot.kt
@@ -297,14 +297,12 @@ private fun GameTile(game: GameDescriptor, onClick: () -> Unit) {
                 modifier = Modifier.padding(top = 4.dp),
             )
             Text(
-                text = if (game.available) {
-                    if (game.minPlayers == game.maxPlayers) {
-                        "${game.minPlayers} players"
-                    } else {
-                        "${game.minPlayers}–${game.maxPlayers} players"
-                    }
-                } else {
-                    "Coming soon"
+                text = when {
+                    !game.available -> "Coming soon"
+                    // A puzzle for one, rather than "1 players".
+                    game.maxPlayers == 1 -> "On your own"
+                    game.minPlayers == game.maxPlayers -> "${game.minPlayers} players"
+                    else -> "${game.minPlayers}–${game.maxPlayers} players"
                 },
                 style = MaterialTheme.typography.labelSmall,
                 modifier = Modifier.padding(top = 8.dp),
diff --git a/app/src/main/java/org/prolibertate/games/ui/GameSetupScreen.kt b/app/src/main/java/org/prolibertate/games/ui/GameSetupScreen.kt
index 1e03faa..1fe2edf 100644
--- a/app/src/main/java/org/prolibertate/games/ui/GameSetupScreen.kt
+++ b/app/src/main/java/org/prolibertate/games/ui/GameSetupScreen.kt
@@ -40,6 +40,10 @@ import org.prolibertate.games.game.crazyeights.CrazyEightsOptions
 import org.prolibertate.games.game.cribbage.CribbageOptions
 import org.prolibertate.games.game.euchre.EuchreOptions
 import org.prolibertate.games.game.golf.GolfOptions
+import org.prolibertate.games.game.hearts.HeartsOptions
+import org.prolibertate.games.game.pegsolitaire.PegBoard
+import org.prolibertate.games.game.pegsolitaire.PegGoal
+import org.prolibertate.games.game.pegsolitaire.PegSolitaireOptions
 import org.prolibertate.games.game.kaiser.KaiserOptions
 import org.prolibertate.games.game.mastermind.MastermindLevel
 import org.prolibertate.games.game.mastermind.MastermindOptions
@@ -88,6 +92,8 @@ fun GameSetupScreen(
     var backgammon by remember { mutableStateOf(BackgammonOptions()) }
     var mastermind by remember { mutableStateOf(MastermindOptions()) }
     var pirates by remember { mutableStateOf(PiratesOptions()) }
+    var hearts by remember { mutableStateOf(HeartsOptions()) }
+    var pegs by remember { mutableStateOf(PegSolitaireOptions()) }
     // Not an engine option: which seat the local player takes. Seat 0 is
     // always White, so choosing Black means sitting in seat 1.
     var playWhite by remember { mutableStateOf(true) }
@@ -111,6 +117,8 @@ fun GameSetupScreen(
         GameCatalog.BACKGAMMON -> setupJson.encodeToString(backgammon)
         GameCatalog.MASTERMIND -> setupJson.encodeToString(mastermind)
         GameCatalog.PIRATES -> setupJson.encodeToString(pirates)
+        GameCatalog.HEARTS -> setupJson.encodeToString(hearts)
+        GameCatalog.PEG_SOLITAIRE -> setupJson.encodeToString(pegs)
         else -> "{}"
     }
     val seatCount = seatCountFor(descriptor.id, optionsJson)
@@ -162,15 +170,27 @@ fun GameSetupScreen(
                     onSide = { playPirates = it },
                 )
 
+                GameCatalog.HEARTS -> HeartsOptionsEditor(hearts) { hearts = it }
+
+                GameCatalog.PEG_SOLITAIRE -> PegSolitaireOptionsEditor(pegs) { pegs = it }
+
                 else -> Text("No options yet for this game.")
             }
 
             Divider()
-            Text("Opponents", fontWeight = FontWeight.Bold)
+            // A one-seat game has nobody to play against and no seat anyone
+            // could join, so it is offered as itself rather than as a table
+            // with every other chair filled by the computer.
+            val solo = seatCount == 1
+            Text(if (solo) "On your own" else "Opponents", fontWeight = FontWeight.Bold)
             Text(
-                text = "Play now and every other seat is taken by the computer. Host a game " +
-                    "instead and people can claim those seats as they join — whatever is " +
-                    "still empty when you start stays computer-controlled.",
+                text = if (solo) {
+                    "A puzzle for one. There is nobody to wait for and nothing to host."
+                } else {
+                    "Play now and every other seat is taken by the computer. Host a game " +
+                        "instead and people can claim those seats as they join — whatever is " +
+                        "still empty when you start stays computer-controlled."
+                },
                 style = MaterialTheme.typography.bodySmall,
             )
 
@@ -182,14 +202,16 @@ fun GameSetupScreen(
                 descriptor.id == GameCatalog.PIRATES && playPirates -> 1
                 else -> 0
             }
-            PrimaryAction(text = "Play against the computer") {
+            PrimaryAction(text = if (solo) "Play" else "Play against the computer") {
                 onPlayOffline(
                     offlineConfig(descriptor.id, optionsJson, seatCount, playerName, localSeat),
                     localSeat,
                 )
             }
-            PrimaryAction(text = "Host a game for others to join") {
-                onHostOnline(optionsJson)
+            if (!solo) {
+                PrimaryAction(text = "Host a game for others to join") {
+                    onHostOnline(optionsJson)
+                }
             }
         }
     }
@@ -944,3 +966,49 @@ private fun ToggleRow(
         Switch(checked = checked, onCheckedChange = onChange)
     }
 }
+
+@Composable
+private fun HeartsOptionsEditor(options: HeartsOptions, onChange: (HeartsOptions) -> Unit) {
+    Column(verticalArrangement = Arrangement.spacedBy(8.dp)) {
+        ChipRow(
+            label = "Game ends at",
+            values = listOf(50, 100),
+            selected = options.targetScore,
+            display = { "$it points" },
+            onSelect = { onChange(options.copy(targetScore = it)) },
+        )
+        ToggleRow(
+            title = "Shooting the moon",
+            subtitle = "Take all twenty-six and score nothing, while everyone else takes " +
+                "the lot. Switched off, a moon is simply the worst hand at the table.",
+            checked = options.allowShootTheMoon,
+            onChange = { onChange(options.copy(allowShootTheMoon = it)) },
+        )
+    }
+}
+
+@Composable
+private fun PegSolitaireOptionsEditor(
+    options: PegSolitaireOptions,
+    onChange: (PegSolitaireOptions) -> Unit,
+) {
+    Column(verticalArrangement = Arrangement.spacedBy(8.dp)) {
+        ChipRow(
+            label = "Board",
+            values = PegBoard.entries.toList(),
+            selected = options.board,
+            display = { it.label },
+            // The opening hole is cleared as well: a hole that exists on the old
+            // board may be a missing corner on the new one, and the options
+            // refuse to be built that way.
+            onSelect = { onChange(options.copy(board = it, startEmpty = null)) },
+        )
+        ChipRow(
+            label = "Finish",
+            values = PegGoal.entries.toList(),
+            selected = options.goal,
+            display = { it.label },
+            onSelect = { onChange(options.copy(goal = it)) },
+        )
+    }
+}
diff --git a/app/src/main/java/org/prolibertate/games/ui/PlayScreen.kt b/app/src/main/java/org/prolibertate/games/ui/PlayScreen.kt
index 56ecd49..7c7b05c 100644
--- a/app/src/main/java/org/prolibertate/games/ui/PlayScreen.kt
+++ b/app/src/main/java/org/prolibertate/games/ui/PlayScreen.kt
@@ -4,7 +4,10 @@ import androidx.compose.material3.Text
 import androidx.compose.runtime.Composable
 import androidx.compose.runtime.DisposableEffect
 import androidx.compose.runtime.LaunchedEffect
+import androidx.compose.runtime.getValue
+import androidx.compose.runtime.mutableIntStateOf
 import androidx.compose.runtime.remember
+import androidx.compose.runtime.setValue
 import androidx.compose.runtime.rememberCoroutineScope
 import org.prolibertate.games.game.GameCatalog
 import org.prolibertate.games.game.chess.ChessAi
@@ -26,6 +29,15 @@ import org.prolibertate.games.game.euchre.EuchreMove
 import org.prolibertate.games.game.euchre.EuchrePhase
 import org.prolibertate.games.game.euchre.EuchreRules
 import org.prolibertate.games.game.euchre.EuchreState
+import org.prolibertate.games.game.hearts.HeartsAi
+import org.prolibertate.games.game.hearts.HeartsMove
+import org.prolibertate.games.game.hearts.HeartsPhase
+import org.prolibertate.games.game.hearts.HeartsRules
+import org.prolibertate.games.game.hearts.HeartsState
+import org.prolibertate.games.game.pegsolitaire.PegSolitaireAi
+import org.prolibertate.games.game.pegsolitaire.PegSolitaireMove
+import org.prolibertate.games.game.pegsolitaire.PegSolitaireRules
+import org.prolibertate.games.game.pegsolitaire.PegSolitaireState
 import org.prolibertate.games.game.golf.GolfAi
 import org.prolibertate.games.game.golf.GolfMove
 import org.prolibertate.games.game.golf.GolfPhase
@@ -81,11 +93,13 @@ import org.prolibertate.games.ui.game.CheckersScreen
 import org.prolibertate.games.ui.game.ChessScreen
 import org.prolibertate.games.ui.game.CrazyEightsScreen
 import org.prolibertate.games.ui.game.CribbageScreen
+import org.prolibertate.games.ui.game.HeartsScreen
 import org.prolibertate.games.ui.game.EuchreScreen
 import org.prolibertate.games.ui.game.GolfScreen
 import org.prolibertate.games.ui.game.KaiserScreen
 import org.prolibertate.games.ui.game.MastermindScreen
 import org.prolibertate.games.ui.game.MorrisScreen
+import org.prolibertate.games.ui.game.PegSolitaireScreen
 import org.prolibertate.games.ui.game.PiratesScreen
 import org.prolibertate.games.ui.game.PresidentScreen
 import org.prolibertate.games.ui.game.TRICK_HOLD_MILLIS
@@ -430,6 +444,67 @@ fun PlayScreen(
             PiratesScreen(controller = controller, localSeat = route.localSeat, onExit = onExit)
         }
 
+        GameCatalog.HEARTS -> {
+            val controller = remember(route) {
+                MatchController<HeartsState, HeartsMove>(
+                    rules = HeartsRules,
+                    ai = HeartsAi,
+                    config = route.config,
+                    scope = scope,
+                    role = role,
+                    localSeats = setOf(route.localSeat),
+                    primarySeat = route.localSeat,
+                    advanceIdle = { state ->
+                        if (state.phase == HeartsPhase.ROUND_OVER) {
+                            HeartsRules.startNextRound(state)
+                        } else {
+                            null
+                        }
+                    },
+                    // What a round cost is read before the next deal.
+                    awaitsConfirmation = { state -> state.phase == HeartsPhase.ROUND_OVER },
+                    aiThinkingMillis = { settings.scaled(700L) },
+                    holdBeforeNextMove = { state ->
+                        if (state.completedTrick.isNotEmpty()) {
+                            settings.scaled(TRICK_HOLD_MILLIS)
+                        } else {
+                            0L
+                        }
+                    },
+                )
+            }
+            StartMatch(env, controller, route)
+            HeartsScreen(controller = controller, localSeat = route.localSeat, onExit = onExit)
+        }
+
+        GameCatalog.PEG_SOLITAIRE -> {
+            // Playing again means a fresh board rather than a fresh round, and
+            // it cannot go through advanceIdle: driveIdleSeats returns as soon
+            // as rules.isFinished is true, and a peg board with no jumps left
+            // genuinely is finished. Rebuilding the controller is the honest
+            // way to deal again, and the board is deterministic, so the retry
+            // is the same puzzle.
+            var generation by remember(route) { mutableIntStateOf(0) }
+            val controller = remember(route, generation) {
+                MatchController<PegSolitaireState, PegSolitaireMove>(
+                    rules = PegSolitaireRules,
+                    // Never consulted while a person holds the only seat.
+                    ai = PegSolitaireAi,
+                    config = route.config,
+                    scope = scope,
+                    role = role,
+                    localSeats = setOf(route.localSeat),
+                    primarySeat = route.localSeat,
+                )
+            }
+            StartMatch(env, controller, route)
+            PegSolitaireScreen(
+                controller = controller,
+                onRestart = { generation++ },
+                onExit = onExit,
+            )
+        }
+
         GameCatalog.MORRIS -> {
             val controller = remember(route) {
                 MatchController<MorrisState, MorrisMove>(
diff --git a/app/src/main/java/org/prolibertate/games/ui/game/HeartsScreen.kt b/app/src/main/java/org/prolibertate/games/ui/game/HeartsScreen.kt
new file mode 100644
index 0000000..dd70ea6
--- /dev/null
+++ b/app/src/main/java/org/prolibertate/games/ui/game/HeartsScreen.kt
@@ -0,0 +1,249 @@
+package org.prolibertate.games.ui.game
+
+import androidx.compose.foundation.layout.Arrangement
+import androidx.compose.foundation.layout.Box
+import androidx.compose.foundation.layout.Column
+import androidx.compose.foundation.layout.ExperimentalLayoutApi
+import androidx.compose.foundation.layout.FlowRow
+import androidx.compose.foundation.layout.Row
+import androidx.compose.foundation.layout.fillMaxWidth
+import androidx.compose.foundation.rememberScrollState
+import androidx.compose.foundation.verticalScroll
+import androidx.compose.material3.AlertDialog
+import androidx.compose.material3.Button
+import androidx.compose.material3.Divider
+import androidx.compose.material3.MaterialTheme
+import androidx.compose.material3.Text
+import androidx.compose.material3.TextButton
+import androidx.compose.runtime.Composable
+import androidx.compose.runtime.collectAsState
+import androidx.compose.runtime.getValue
+import androidx.compose.runtime.mutableStateOf
+import androidx.compose.runtime.remember
+import androidx.compose.runtime.setValue
+import androidx.compose.runtime.snapshots.SnapshotStateList
+import androidx.compose.runtime.mutableStateListOf
+import androidx.compose.ui.Alignment
+import androidx.compose.ui.Modifier
+import androidx.compose.ui.text.font.FontWeight
+import androidx.compose.ui.unit.dp
+import org.prolibertate.games.game.cards.Card
+import org.prolibertate.games.game.hearts.HeartsMove
+import org.prolibertate.games.game.hearts.HeartsPhase
+import org.prolibertate.games.game.hearts.HeartsState
+import org.prolibertate.games.game.hearts.PASS_SIZE
+import org.prolibertate.games.game.hearts.PassCards
+import org.prolibertate.games.game.hearts.PlayCard
+import org.prolibertate.games.game.hearts.pointsOf
+import org.prolibertate.games.net.MatchController
+import org.prolibertate.games.ui.ScreenScaffold
+import org.prolibertate.games.ui.common.PlayingCardView
+
+private const val TITLE = "Hearts"
+
+/**
+ * The Hearts table.
+ *
+ * Two quite different things happen at this screen, so it reads the phase and
+ * shows one or the other: choosing three cards to give away, which is a
+ * multiple selection nothing else in the app does, and then playing one card at
+ * a time, which every trick-taking screen here does the same way.
+ */
+@OptIn(ExperimentalLayoutApi::class)
+@Composable
+fun HeartsScreen(
+    controller: MatchController<HeartsState, HeartsMove>,
+    localSeat: Int,
+    onExit: () -> Unit,
+) {
+    val state by controller.state.collectAsState()
+    val legal by controller.legalMoves.collectAsState()
+    val abandoned by controller.abandoned.collectAsState()
+    val awaiting by controller.awaitingConfirmation.collectAsState()
+
+    val chosen = remember { mutableStateListOf<Card>() }
+    var confirmingEnd by remember { mutableStateOf(false) }
+
+    val endGameAction: @Composable () -> Unit = {
+        TextButton(onClick = { confirmingEnd = true }) { Text("End game") }
+    }
+
+    val current = state
+    if (current == null) {
+        ScreenScaffold(title = TITLE, onBack = onExit, actions = endGameAction) { modifier ->
+            Box(modifier, contentAlignment = Alignment.Center) { Text("Dealing…") }
+            abandoned?.let { LeftHeartsDialog(it, onExit, controller::dismissAbandoned) }
+            if (confirmingEnd) EndHeartsDialog(onExit) { confirmingEnd = false }
+        }
+        return
+    }
+
+    val hand = current.hands.getOrElse(localSeat) { emptyList() }
+    val passing = current.phase == HeartsPhase.PASSING
+    val alreadyPassed = current.passSelections.getOrElse(localSeat) { emptyList() }.isNotEmpty()
+    val playable = legal.filterIsInstance<PlayCard>().map { it.card }.toSet()
+
+    ScreenScaffold(title = TITLE, onBack = onExit, actions = endGameAction) { modifier ->
+        Column(
+            modifier = modifier.verticalScroll(rememberScrollState()),
+            verticalArrangement = Arrangement.spacedBy(10.dp),
+        ) {
+            Text(
+                text = when {
+                    current.phase == HeartsPhase.GAME_OVER -> "Game over — lowest score wins."
+                    current.phase == HeartsPhase.ROUND_OVER -> "Round scored."
+                    passing && alreadyPassed -> "Waiting for the others to choose…"
+                    passing -> "Choose three to pass ${current.passDirection.label}"
+                    playable.isEmpty() -> "Waiting…"
+                    else -> "Your turn"
+                },
+                fontWeight = FontWeight.Bold,
+            )
+            Text(
+                text = "Every heart costs a point and the queen of spades costs thirteen. " +
+                    "Take none of them.",
+                style = MaterialTheme.typography.bodySmall,
+            )
+
+            TrickView(current)
+            ScoreRow(current, localSeat)
+            Divider()
+
+            Text(
+                text = if (passing && !alreadyPassed) {
+                    "Passing ${current.passDirection.label} — ${chosen.size} of $PASS_SIZE chosen"
+                } else {
+                    "Your hand"
+                },
+                style = MaterialTheme.typography.labelLarge,
+            )
+            FlowRow(horizontalArrangement = Arrangement.spacedBy(4.dp)) {
+                hand.forEach { card ->
+                    val selectable = passing && !alreadyPassed
+                    PlayingCardView(
+                        card = card,
+                        width = 52.dp,
+                        selected = chosen.contains(card),
+                        enabled = if (selectable) true else playable.contains(card),
+                        caption = pointsOf(card).takeIf { it > 0 }?.let { "−$it" },
+                        onClick = {
+                            if (selectable) {
+                                toggle(chosen, card)
+                            } else if (playable.contains(card)) {
+                                controller.submit(PlayCard(card))
+                            }
+                        },
+                    )
+                }
+            }
+
+            if (passing && !alreadyPassed) {
+                Button(
+                    enabled = chosen.size == PASS_SIZE,
+                    onClick = {
+                        controller.submit(PassCards(chosen.toList()))
+                        chosen.clear()
+                    },
+                ) { Text("Pass these three") }
+            }
+
+            if (awaiting) {
+                Button(onClick = controller::confirmAdvance) { Text("Next round") }
+            }
+
+            current.log.takeLast(3).forEach {
+                Text(it, style = MaterialTheme.typography.bodySmall)
+            }
+        }
+
+        abandoned?.let { LeftHeartsDialog(it, onExit, controller::dismissAbandoned) }
+        if (confirmingEnd) EndHeartsDialog(onExit) { confirmingEnd = false }
+    }
+}
+
+/** Adds or removes [card], never letting the selection run past three. */
+private fun toggle(chosen: SnapshotStateList<Card>, card: Card) {
+    if (chosen.contains(card)) {
+        chosen.remove(card)
+    } else if (chosen.size < PASS_SIZE) {
+        chosen.add(card)
+    }
+}
+
+@OptIn(ExperimentalLayoutApi::class)
+@Composable
+private fun TrickView(state: HeartsState) {
+    // The trick just swept is held on the table for a moment, so show that when
+    // there is nothing in front of the players yet.
+    val showing = state.trick.ifEmpty { state.completedTrick }
+    Column(verticalArrangement = Arrangement.spacedBy(4.dp)) {
+        Text(
+            text = if (state.trick.isEmpty() && showing.isNotEmpty()) {
+                "Last trick — taken by seat ${state.leader}"
+            } else {
+                "Trick ${state.trickNumber + 1} of ${state.tricksPerRound}"
+            },
+            style = MaterialTheme.typography.labelLarge,
+        )
+        if (showing.isEmpty()) {
+            Text("Nothing played yet.", style = MaterialTheme.typography.bodySmall)
+        } else {
+            FlowRow(horizontalArrangement = Arrangement.spacedBy(4.dp)) {
+                showing.forEach { played ->
+                    PlayingCardView(
+                        card = played.card,
+                        width = 46.dp,
+                        caption = "seat ${played.seat}",
+                    )
+                }
+            }
+        }
+    }
+}
+
+@Composable
+private fun ScoreRow(state: HeartsState, localSeat: Int) {
+    Row(
+        modifier = Modifier.fillMaxWidth(),
+        horizontalArrangement = Arrangement.SpaceBetween,
+    ) {
+        state.scores.forEachIndexed { seat, score ->
+            Column(horizontalAlignment = Alignment.CenterHorizontally) {
+                Text(
+                    text = if (seat == localSeat) "You" else "Seat $seat",
+                    style = MaterialTheme.typography.labelSmall,
+                    fontWeight = if (seat == localSeat) FontWeight.Bold else FontWeight.Normal,
+                )
+                Text("$score", fontWeight = FontWeight.Bold)
+                // What this round has cost so far, which is the number anybody
+                // actually watches while a hand is being played.
+                Text(
+                    text = "+${state.roundScores.getOrElse(seat) { 0 }}",
+                    style = MaterialTheme.typography.labelSmall,
+                )
+            }
+        }
+    }
+}
+
+@Composable
+private fun EndHeartsDialog(onEnd: () -> Unit, onKeepPlaying: () -> Unit) {
+    AlertDialog(
+        onDismissRequest = onKeepPlaying,
+        title = { Text("End this game?") },
+        text = { Text("The game ends here. Anyone else at the table is told you have left.") },
+        confirmButton = { TextButton(onClick = onEnd) { Text("End the game") } },
+        dismissButton = { TextButton(onClick = onKeepPlaying) { Text("Keep playing") } },
+    )
+}
+
+@Composable
+private fun LeftHeartsDialog(notice: String, onExit: () -> Unit, onStay: () -> Unit) {
+    AlertDialog(
+        onDismissRequest = onStay,
+        title = { Text("The game has ended") },
+        text = { Text(notice) },
+        confirmButton = { TextButton(onClick = onExit) { Text("Leave the game") } },
+        dismissButton = { TextButton(onClick = onStay) { Text("Look at the table") } },
+    )
+}
diff --git a/app/src/main/java/org/prolibertate/games/ui/game/PegSolitaireScreen.kt b/app/src/main/java/org/prolibertate/games/ui/game/PegSolitaireScreen.kt
new file mode 100644
index 0000000..bb27414
--- /dev/null
+++ b/app/src/main/java/org/prolibertate/games/ui/game/PegSolitaireScreen.kt
@@ -0,0 +1,259 @@
+package org.prolibertate.games.ui.game
+
+import androidx.compose.foundation.BorderStroke
+import androidx.compose.foundation.background
+import androidx.compose.foundation.border
+import androidx.compose.foundation.clickable
+import androidx.compose.foundation.layout.Arrangement
+import androidx.compose.foundation.layout.Box
+import androidx.compose.foundation.layout.BoxWithConstraints
+import androidx.compose.foundation.layout.Column
+import androidx.compose.foundation.layout.Row
+import androidx.compose.foundation.layout.fillMaxWidth
+import androidx.compose.foundation.layout.height
+import androidx.compose.foundation.layout.offset
+import androidx.compose.foundation.layout.size
+import androidx.compose.foundation.rememberScrollState
+import androidx.compose.foundation.shape.CircleShape
+import androidx.compose.foundation.verticalScroll
+import androidx.compose.material3.AlertDialog
+import androidx.compose.material3.Button
+import androidx.compose.material3.MaterialTheme
+import androidx.compose.material3.Text
+import androidx.compose.material3.TextButton
+import androidx.compose.runtime.Composable
+import androidx.compose.runtime.collectAsState
+import androidx.compose.runtime.getValue
+import androidx.compose.runtime.mutableStateOf
+import androidx.compose.runtime.remember
+import androidx.compose.runtime.setValue
+import androidx.compose.ui.Alignment
+import androidx.compose.ui.Modifier
+import androidx.compose.ui.text.font.FontWeight
+import androidx.compose.ui.unit.Dp
+import androidx.compose.ui.unit.dp
+import org.prolibertate.games.game.pegsolitaire.Hole
+import org.prolibertate.games.game.pegsolitaire.PegBoard
+import org.prolibertate.games.game.pegsolitaire.PegJump
+import org.prolibertate.games.game.pegsolitaire.PegSolitaireMove
+import org.prolibertate.games.game.pegsolitaire.PegSolitaireState
+import org.prolibertate.games.net.MatchController
+import org.prolibertate.games.ui.ScreenScaffold
+import org.prolibertate.games.ui.theme.FeltGreenDark
+import org.prolibertate.games.ui.theme.Parchment
+import org.prolibertate.games.ui.theme.WallaceGold
+import org.prolibertate.games.ui.theme.WallaceRed
+
+private const val TITLE = "Peg Solitaire"
+
+/**
+ * The peg board.
+ *
+ * One layout serves both board shapes. Each hole is placed at a position in
+ * hole-widths rather than pixels, and a triangle simply offsets its rows by half
+ * a hole so they stagger — which is the same thing that gives a triangular hole
+ * six neighbours instead of four. Scaling that grid to whatever width the phone
+ * has is then the only sizing decision left.
+ */
+@Composable
+fun PegSolitaireScreen(
+    controller: MatchController<PegSolitaireState, PegSolitaireMove>,
+    onRestart: () -> Unit,
+    onExit: () -> Unit,
+) {
+    val state by controller.state.collectAsState()
+    val legal by controller.legalMoves.collectAsState()
+    val abandoned by controller.abandoned.collectAsState()
+
+    var selected by remember { mutableStateOf<Hole?>(null) }
+    var confirmingEnd by remember { mutableStateOf(false) }
+
+    val endGameAction: @Composable () -> Unit = {
+        TextButton(onClick = { confirmingEnd = true }) { Text("End game") }
+    }
+
+    val current = state
+    if (current == null) {
+        ScreenScaffold(title = TITLE, onBack = onExit, actions = endGameAction) { modifier ->
+            Box(modifier, contentAlignment = Alignment.Center) { Text("Setting up…") }
+            abandoned?.let { LeftBoardDialog(it, onExit, controller::dismissAbandoned) }
+            if (confirmingEnd) EndBoardDialog(onExit) { confirmingEnd = false }
+        }
+        return
+    }
+
+    val jumps = legal.filterIsInstance<PegJump>()
+    val movable = jumps.map { it.from }.toSet()
+    val landings = selected?.let { from -> jumps.filter { it.from == from } }.orEmpty()
+    val destinations = landings.map { it.to }.toSet()
+    val finished = jumps.isEmpty()
+
+    ScreenScaffold(title = TITLE, onBack = onExit, actions = endGameAction) { modifier ->
+        Column(
+            modifier = modifier.verticalScroll(rememberScrollState()),
+            verticalArrangement = Arrangement.spacedBy(10.dp),
+        ) {
+            Text(
+                text = when {
+                    current.solved -> "Solved, in ${current.jumps} jumps."
+                    finished -> "Stuck with ${current.remaining} pegs."
+                    selected != null -> "Tap a ringed hole to jump into it."
+                    else -> "Tap a peg that can jump."
+                },
+                fontWeight = FontWeight.Bold,
+            )
+            Text(
+                text = "${current.board.label}. ${current.remaining} pegs left, " +
+                    "${current.jumps} jumps made.",
+                style = MaterialTheme.typography.bodySmall,
+            )
+
+            Board(
+                state = current,
+                selected = selected,
+                movable = movable,
+                destinations = destinations,
+                onTap = { hole ->
+                    selected = when {
+                        // Completing a jump takes priority: the tapped hole is
+                        // one the selected peg was offered.
+                        selected != null && destinations.contains(hole) -> {
+                            controller.submit(PegJump(from = selected!!, to = hole))
+                            null
+                        }
+
+                        movable.contains(hole) -> hole
+                        else -> null
+                    }
+                },
+            )
+
+            if (finished) {
+                Row(horizontalArrangement = Arrangement.spacedBy(8.dp)) {
+                    Button(onClick = onRestart) { Text("Play again") }
+                    TextButton(onClick = onExit) { Text("Leave") }
+                }
+            }
+
+            current.log.takeLast(3).forEach {
+                Text(it, style = MaterialTheme.typography.bodySmall)
+            }
+        }
+
+        abandoned?.let { LeftBoardDialog(it, onExit, controller::dismissAbandoned) }
+        if (confirmingEnd) EndBoardDialog(onExit) { confirmingEnd = false }
+    }
+}
+
+@Composable
+private fun Board(
+    state: PegSolitaireState,
+    selected: Hole?,
+    movable: Set<Hole>,
+    destinations: Set<Hole>,
+    onTap: (Hole) -> Unit,
+) {
+    val board = state.board
+    val holes = remember(board) { board.holes().toList() }
+    val places = remember(board) { holes.associateWith { placeOf(board, it) } }
+    val xs = places.values.map { it.first }
+    val ys = places.values.map { it.second }
+    val minX = xs.min()
+    val minY = ys.min()
+    val spanX = xs.max() - minX
+    val spanY = ys.max() - minY
+
+    BoxWithConstraints(modifier = Modifier.fillMaxWidth()) {
+        // One extra hole-width so the last column has somewhere to sit.
+        val cell: Dp = maxWidth / (spanX + 1f)
+        Box(
+            modifier = Modifier
+                .fillMaxWidth()
+                .height(cell * (spanY + 1f))
+                .background(FeltGreenDark),
+        ) {
+            holes.forEach { hole ->
+                val (x, y) = places.getValue(hole)
+                HoleView(
+                    filled = state.pegs.contains(hole),
+                    selected = hole == selected,
+                    canMove = movable.contains(hole),
+                    isDestination = destinations.contains(hole),
+                    size = cell,
+                    modifier = Modifier.offset(x = cell * (x - minX), y = cell * (y - minY)),
+                    onTap = { onTap(hole) },
+                )
+            }
+        }
+    }
+}
+
+/**
+ * Where a hole sits, in hole-widths from the board's top left.
+ *
+ * The half-hole shift on a triangle is the whole difference between the two
+ * geometries as far as drawing is concerned.
+ */
+private fun placeOf(board: PegBoard, hole: Hole): Pair<Float, Float> =
+    if (board.isTriangular) {
+        (hole.col - hole.row / 2f) to hole.row.toFloat()
+    } else {
+        hole.col.toFloat() to hole.row.toFloat()
+    }
+
+@Composable
+private fun HoleView(
+    filled: Boolean,
+    selected: Boolean,
+    canMove: Boolean,
+    isDestination: Boolean,
+    size: Dp,
+    modifier: Modifier,
+    onTap: () -> Unit,
+) {
+    Box(modifier = modifier.size(size), contentAlignment = Alignment.Center) {
+        val diameter = size * 0.72f
+        val ring = when {
+            selected -> WallaceGold
+            isDestination -> WallaceGold
+            else -> Parchment.copy(alpha = 0.35f)
+        }
+        Box(
+            modifier = Modifier
+                .size(diameter)
+                .background(
+                    color = if (filled) WallaceRed else FeltGreenDark,
+                    shape = CircleShape,
+                )
+                .border(
+                    // A destination is drawn as an empty ring rather than filled,
+                    // so it never reads as a peg already sitting there.
+                    border = BorderStroke(if (selected || isDestination) 3.dp else 1.dp, ring),
+                    shape = CircleShape,
+                )
+                .clickable(enabled = filled && canMove || isDestination) { onTap() },
+        )
+    }
+}
+
+@Composable
+private fun EndBoardDialog(onEnd: () -> Unit, onKeepPlaying: () -> Unit) {
+    AlertDialog(
+        onDismissRequest = onKeepPlaying,
+        title = { Text("End this game?") },
+        text = { Text("The board is left as it stands.") },
+        confirmButton = { TextButton(onClick = onEnd) { Text("End the game") } },
+        dismissButton = { TextButton(onClick = onKeepPlaying) { Text("Keep playing") } },
+    )
+}
+
+@Composable
+private fun LeftBoardDialog(notice: String, onExit: () -> Unit, onStay: () -> Unit) {
+    AlertDialog(
+        onDismissRequest = onStay,
+        title = { Text("The game has ended") },
+        text = { Text(notice) },
+        confirmButton = { TextButton(onClick = onExit) { Text("Leave the game") } },
+        dismissButton = { TextButton(onClick = onStay) { Text("Look at the board") } },
+    )
+}
diff --git a/app/src/test/java/org/prolibertate/games/game/CatalogTest.kt b/app/src/test/java/org/prolibertate/games/game/CatalogTest.kt
index 80766a4..9c44e39 100644
--- a/app/src/test/java/org/prolibertate/games/game/CatalogTest.kt
+++ b/app/src/test/java/org/prolibertate/games/game/CatalogTest.kt
@@ -71,6 +71,8 @@ class CatalogTest {
                 GameCatalog.KAISER,
                 GameCatalog.CRAZY_EIGHTS,
                 GameCatalog.CRIBBAGE,
+                GameCatalog.HEARTS,
+                GameCatalog.PEG_SOLITAIRE,
                 GameCatalog.WIZARD,
                 GameCatalog.CHESS,
                 GameCatalog.TAYU,
@@ -87,7 +89,11 @@ class CatalogTest {
     @Test
     fun `player counts are sane`() {
         GameCatalog.all.forEach { game ->
-            assertTrue("${game.id} min players", game.minPlayers >= 2)
+            // One, not two. Peg solitaire is played alone, and the engine took
+            // that without changes — one seat, always on the clock, nothing to
+            // redact. Everything downstream reads the seat count from here, so
+            // this is the only place that had to allow it.
+            assertTrue("${game.id} min players", game.minPlayers >= 1)
             assertTrue("${game.id} max >= min", game.maxPlayers >= game.minPlayers)
         }
     }
diff --git a/app/src/test/java/org/prolibertate/games/game/hearts/HeartsRulesTest.kt b/app/src/test/java/org/prolibertate/games/game/hearts/HeartsRulesTest.kt
new file mode 100644
index 0000000..db8b5d7
--- /dev/null
+++ b/app/src/test/java/org/prolibertate/games/game/hearts/HeartsRulesTest.kt
@@ -0,0 +1,332 @@
+package org.prolibertate.games.game.hearts
+
+import kotlinx.serialization.encodeToString
+import kotlinx.serialization.json.Json
+import org.junit.Assert.assertEquals
+import org.junit.Assert.assertFalse
+import org.junit.Assert.assertNull
+import org.junit.Assert.assertTrue
+import org.junit.Test
+import org.prolibertate.games.game.cards.Card
+import org.prolibertate.games.game.cards.Rank
+import org.prolibertate.games.game.cards.Suit
+import org.prolibertate.games.game.engine.PlayerKind
+import org.prolibertate.games.game.engine.PlayerSlot
+import org.prolibertate.games.game.engine.TableConfig
+
+class HeartsRulesTest {
+
+    private val json = Json { encodeDefaults = true }
+
+    private fun config(options: HeartsOptions = HeartsOptions(), seed: Long = 7L) = TableConfig(
+        gameId = "hearts",
+        seats = (0 until options.playerCount).map {
+            PlayerSlot(seat = it, name = "P$it", kind = PlayerKind.AI, team = it)
+        },
+        optionsJson = json.encodeToString(options),
+        seed = seed,
+    )
+
+    private fun c(rank: Rank, suit: Suit) = Card(rank, suit)
+
+    /** A state part way through a round, with passing already done. */
+    private fun playing(
+        hands: List<List<Card>>,
+        turn: Int = 0,
+        leader: Int = 0,
+        trick: List<PlayedCard> = emptyList(),
+        trickNumber: Int = 1,
+        heartsBroken: Boolean = false,
+        taken: List<List<Card>> = List(hands.size) { emptyList() },
+        options: HeartsOptions = HeartsOptions(),
+    ) = HeartsState(
+        options = options,
+        seed = 1L,
+        round = 0,
+        phase = HeartsPhase.PLAYING,
+        hands = hands,
+        handCounts = hands.map { it.size },
+        passSelections = List(hands.size) { emptyList() },
+        turn = turn,
+        leader = leader,
+        trickNumber = trickNumber,
+        trick = trick,
+        taken = taken,
+        heartsBroken = heartsBroken,
+        scores = List(hands.size) { 0 },
+        roundScores = List(hands.size) { 0 },
+        log = emptyList(),
+    )
+
+    @Test
+    fun `a deal gives four hands of thirteen from one pack`() {
+        val state = HeartsRules.initialState(config())
+        assertEquals(4, state.hands.size)
+        state.hands.forEach { assertEquals(13, it.size) }
+        val all = state.hands.flatten()
+        assertEquals(52, all.size)
+        assertEquals("no card is dealt twice", 52, all.distinct().size)
+    }
+
+    @Test
+    fun `the pass direction cycles and the fourth round holds`() {
+        assertEquals(PassDirection.LEFT, PassDirection.forRound(0))
+        assertEquals(PassDirection.RIGHT, PassDirection.forRound(1))
+        assertEquals(PassDirection.ACROSS, PassDirection.forRound(2))
+        assertEquals(PassDirection.HOLD, PassDirection.forRound(3))
+        assertEquals(PassDirection.LEFT, PassDirection.forRound(4))
+    }
+
+    @Test
+    fun `a hold round opens straight onto the lead`() {
+        // Round three holds, so there is nothing to swap and play begins at once
+        // with whoever holds the two of clubs.
+        var state = HeartsRules.initialState(config())
+        // Walk to round three through the public entry point rather than
+        // reaching into the private deal.
+        repeat(3) {
+            state = HeartsRules.startNextRound(state.copy(phase = HeartsPhase.ROUND_OVER))
+        }
+        assertEquals(3, state.round)
+        assertEquals(PassDirection.HOLD, state.passDirection)
+        assertEquals(HeartsPhase.PLAYING, state.phase)
+        assertTrue(state.hands[state.turn].contains(TWO_OF_CLUBS))
+    }
+
+    @Test
+    fun `passing left moves three cards to the next seat`() {
+        var state = HeartsRules.initialState(config())
+        assertEquals(HeartsPhase.PASSING, state.phase)
+        val given = (0 until 4).map { state.hands[it].take(PASS_SIZE) }
+        for (seat in 0 until 4) {
+            assertEquals(seat, HeartsRules.currentSeat(state))
+            state = HeartsRules.applyMove(state, seat, PassCards(given[seat]))
+        }
+        assertEquals(HeartsPhase.PLAYING, state.phase)
+        for (seat in 0 until 4) {
+            val receiver = (seat + 1) % 4
+            assertTrue(
+                "seat $receiver should hold what seat $seat passed",
+                state.hands[receiver].containsAll(given[seat]),
+            )
+            assertFalse(
+                "seat $seat should not still hold what it passed",
+                state.hands[seat].any { given[seat].contains(it) },
+            )
+        }
+        state.hands.forEach { assertEquals(13, it.size) }
+    }
+
+    @Test
+    fun `a pass must be three distinct cards from the hand`() {
+        val state = HeartsRules.initialState(config())
+        val hand = state.hands[0]
+        assertThrows { HeartsRules.applyMove(state, 0, PassCards(hand.take(2))) }
+        assertThrows { HeartsRules.applyMove(state, 0, PassCards(listOf(hand[0], hand[0], hand[1]))) }
+        // A card this seat does not hold — it is in somebody else's thirteen.
+        val notHeld = state.hands[1].first()
+        assertThrows { HeartsRules.applyMove(state, 0, PassCards(listOf(notHeld) + hand.take(2))) }
+    }
+
+    @Test
+    fun `the two of clubs opens the round`() {
+        val hands = listOf(
+            listOf(c(Rank.TWO, Suit.CLUBS), c(Rank.KING, Suit.SPADES)),
+            listOf(c(Rank.THREE, Suit.CLUBS), c(Rank.FOUR, Suit.HEARTS)),
+            listOf(c(Rank.FIVE, Suit.CLUBS), c(Rank.SIX, Suit.DIAMONDS)),
+            listOf(c(Rank.SEVEN, Suit.CLUBS), c(Rank.EIGHT, Suit.DIAMONDS)),
+        )
+        val state = playing(hands, trickNumber = 0)
+        assertEquals(listOf(TWO_OF_CLUBS), HeartsRules.playableCards(state, 0))
+        assertThrows { HeartsRules.applyMove(state, 0, PlayCard(c(Rank.KING, Suit.SPADES))) }
+    }
+
+    @Test
+    fun `a seat holding the led suit must follow it`() {
+        val hands = listOf(
+            listOf(c(Rank.TWO, Suit.CLUBS)),
+            listOf(c(Rank.THREE, Suit.CLUBS), c(Rank.ACE, Suit.HEARTS)),
+            listOf(c(Rank.FIVE, Suit.CLUBS)),
+            listOf(c(Rank.SEVEN, Suit.CLUBS)),
+        )
+        val state = playing(
+            hands,
+            turn = 1,
+            trick = listOf(PlayedCard(0, c(Rank.TWO, Suit.CLUBS))),
+        )
+        assertEquals(listOf(c(Rank.THREE, Suit.CLUBS)), HeartsRules.playableCards(state, 1))
+    }
+
+    @Test
+    fun `no point card may be discarded on the first trick`() {
+        val hands = listOf(
+            listOf(c(Rank.TWO, Suit.CLUBS)),
+            // Void in clubs, holding the queen, a heart, and one harmless card.
+            listOf(QUEEN_OF_SPADES, c(Rank.ACE, Suit.HEARTS), c(Rank.NINE, Suit.DIAMONDS)),
+            listOf(c(Rank.FIVE, Suit.CLUBS)),
+            listOf(c(Rank.SEVEN, Suit.CLUBS)),
+        )
+        val state = playing(
+            hands,
+            turn = 1,
+            trickNumber = 0,
+            trick = listOf(PlayedCard(0, c(Rank.TWO, Suit.CLUBS))),
+        )
+        assertEquals(listOf(c(Rank.NINE, Suit.DIAMONDS)), HeartsRules.playableCards(state, 1))
+    }
+
+    @Test
+    fun `the first trick ban lifts when a seat holds nothing but points`() {
+        val hands = listOf(
+            listOf(c(Rank.TWO, Suit.CLUBS)),
+            listOf(QUEEN_OF_SPADES, c(Rank.ACE, Suit.HEARTS)),
+            listOf(c(Rank.FIVE, Suit.CLUBS)),
+            listOf(c(Rank.SEVEN, Suit.CLUBS)),
+        )
+        val state = playing(
+            hands,
+            turn = 1,
+            trickNumber = 0,
+            trick = listOf(PlayedCard(0, c(Rank.TWO, Suit.CLUBS))),
+        )
+        assertEquals(
+            setOf(QUEEN_OF_SPADES, c(Rank.ACE, Suit.HEARTS)),
+            HeartsRules.playableCards(state, 1).toSet(),
+        )
+    }
+
+    @Test
+    fun `hearts cannot be led until one has been played`() {
+        val hands = listOf(
+            listOf(c(Rank.ACE, Suit.HEARTS), c(Rank.THREE, Suit.CLUBS)),
+            listOf(c(Rank.FOUR, Suit.CLUBS)),
+            listOf(c(Rank.FIVE, Suit.CLUBS)),
+            listOf(c(Rank.SIX, Suit.CLUBS)),
+        )
+        val unbroken = playing(hands, heartsBroken = false)
+        assertEquals(listOf(c(Rank.THREE, Suit.CLUBS)), HeartsRules.playableCards(unbroken, 0))
+
+        val broken = playing(hands, heartsBroken = true)
+        assertEquals(2, HeartsRules.playableCards(broken, 0).size)
+    }
+
+    @Test
+    fun `hearts may be led when they are all that is left`() {
+        val hands = listOf(
+            listOf(c(Rank.ACE, Suit.HEARTS), c(Rank.TWO, Suit.HEARTS)),
+            listOf(c(Rank.FOUR, Suit.CLUBS)),
+            listOf(c(Rank.FIVE, Suit.CLUBS)),
+            listOf(c(Rank.SIX, Suit.CLUBS)),
+        )
+        val state = playing(hands, heartsBroken = false)
+        assertEquals(2, HeartsRules.playableCards(state, 0).size)
+    }
+
+    @Test
+    fun `the highest card of the led suit takes the trick`() {
+        val hands = listOf(
+            listOf(c(Rank.TWO, Suit.CLUBS)),
+            listOf(c(Rank.KING, Suit.CLUBS)),
+            // An ace off suit cannot win, however high.
+            listOf(c(Rank.ACE, Suit.DIAMONDS)),
+            listOf(c(Rank.FIVE, Suit.CLUBS)),
+        )
+        var state = playing(hands)
+        state = HeartsRules.applyMove(state, 0, PlayCard(c(Rank.TWO, Suit.CLUBS)))
+        state = HeartsRules.applyMove(state, 1, PlayCard(c(Rank.KING, Suit.CLUBS)))
+        state = HeartsRules.applyMove(state, 2, PlayCard(c(Rank.ACE, Suit.DIAMONDS)))
+        state = HeartsRules.applyMove(state, 3, PlayCard(c(Rank.FIVE, Suit.CLUBS)))
+        assertEquals("king of clubs takes it", 1, state.leader)
+        assertEquals(4, state.taken[1].size)
+    }
+
+    @Test
+    fun `playing a heart breaks them`() {
+        val hands = listOf(
+            listOf(c(Rank.TWO, Suit.CLUBS)),
+            listOf(c(Rank.ACE, Suit.HEARTS)),
+            listOf(c(Rank.FIVE, Suit.CLUBS)),
+            listOf(c(Rank.SEVEN, Suit.CLUBS)),
+        )
+        var state = playing(hands)
+        assertFalse(state.heartsBroken)
+        state = HeartsRules.applyMove(state, 0, PlayCard(c(Rank.TWO, Suit.CLUBS)))
+        state = HeartsRules.applyMove(state, 1, PlayCard(c(Rank.ACE, Suit.HEARTS)))
+        assertTrue(state.heartsBroken)
+    }
+
+    @Test
+    fun `hearts cost a point each and the queen costs thirteen`() {
+        assertEquals(1, pointsOf(c(Rank.TWO, Suit.HEARTS)))
+        assertEquals(1, pointsOf(c(Rank.ACE, Suit.HEARTS)))
+        assertEquals(13, pointsOf(QUEEN_OF_SPADES))
+        assertEquals(0, pointsOf(c(Rank.KING, Suit.SPADES)))
+        assertEquals(0, pointsOf(c(Rank.ACE, Suit.DIAMONDS)))
+        // The whole pack is worth twenty-six and nothing more.
+        assertEquals(ALL_POINTS, org.prolibertate.games.game.cards.Decks.standard52().sumOf { pointsOf(it) })
+    }
+
+    @Test
+    fun `an ordinary round shares out twenty-six points`() {
+        val hearts = Rank.standard.map { Card(it, Suit.HEARTS) }
+        val taken = listOf(
+            hearts.take(6),
+            hearts.drop(6) + QUEEN_OF_SPADES,
+            emptyList(),
+            emptyList(),
+        )
+        val scored = scoreRound(taken, allowShootTheMoon = true)
+        assertEquals(listOf(6, 20, 0, 0), scored)
+        assertEquals(ALL_POINTS, scored.sum())
+    }
+
+    @Test
+    fun `shooting the moon scores everyone else instead`() {
+        val everything = Rank.standard.map { Card(it, Suit.HEARTS) } + QUEEN_OF_SPADES
+        val taken = listOf(emptyList(), everything, emptyList<Card>(), emptyList())
+        assertEquals(listOf(26, 0, 26, 26), scoreRound(taken, allowShootTheMoon = true))
+        // Switched off, a moon is simply the worst hand at the table.
+        assertEquals(listOf(0, 26, 0, 0), scoreRound(taken, allowShootTheMoon = false))
+    }
+
+    @Test
+    fun `a client sees neither other hands nor what they are passing`() {
+        var state = HeartsRules.initialState(config())
+        state = HeartsRules.applyMove(state, 0, PassCards(state.hands[0].take(PASS_SIZE)))
+        val view = HeartsRules.viewFor(state, 0)
+        assertEquals(state.hands[0], view.hands[0])
+        assertTrue("other hands are stripped", view.hands.drop(1).all { it.isEmpty() })
+        assertEquals("counts survive so backs can be drawn", state.handCounts, view.handCounts)
+        assertEquals(state.passSelections[0], view.passSelections[0])
+        assertTrue(view.passSelections.drop(1).all { it.isEmpty() })
+    }
+
+    @Test
+    fun `state and moves survive a round trip`() {
+        val state = HeartsRules.initialState(config())
+        val decoded = HeartsRules.decodeState(HeartsRules.encodeState(state))
+        assertEquals(state, decoded)
+
+        val pass: HeartsMove = PassCards(state.hands[0].take(PASS_SIZE))
+        assertEquals(pass, HeartsRules.decodeMove(HeartsRules.encodeMove(pass)))
+        val play: HeartsMove = PlayCard(TWO_OF_CLUBS)
+        assertEquals(play, HeartsRules.decodeMove(HeartsRules.encodeMove(play)))
+    }
+
+    @Test
+    fun `nobody is on the clock once the game is over`() {
+        val state = HeartsRules.initialState(config()).copy(phase = HeartsPhase.GAME_OVER)
+        assertNull(HeartsRules.currentSeat(state))
+        assertTrue(HeartsRules.legalMoves(state, 0).isEmpty())
+        assertTrue(HeartsRules.isFinished(state))
+    }
+
+    private fun assertThrows(block: () -> Unit) {
+        try {
+            block()
+            throw AssertionError("expected the move to be rejected")
+        } catch (expected: IllegalArgumentException) {
+            // The rules rejected it, which is the point.
+        }
+    }
+}
diff --git a/app/src/test/java/org/prolibertate/games/game/pegsolitaire/PegSolitaireRulesTest.kt b/app/src/test/java/org/prolibertate/games/game/pegsolitaire/PegSolitaireRulesTest.kt
new file mode 100644
index 0000000..387bde0
--- /dev/null
+++ b/app/src/test/java/org/prolibertate/games/game/pegsolitaire/PegSolitaireRulesTest.kt
@@ -0,0 +1,240 @@
+package org.prolibertate.games.game.pegsolitaire
+
+import kotlinx.serialization.encodeToString
+import kotlinx.serialization.json.Json
+import org.junit.Assert.assertEquals
+import org.junit.Assert.assertFalse
+import org.junit.Assert.assertNull
+import org.junit.Assert.assertTrue
+import org.junit.Test
+import org.prolibertate.games.game.engine.PlayerKind
+import org.prolibertate.games.game.engine.PlayerSlot
+import org.prolibertate.games.game.engine.TableConfig
+
+class PegSolitaireRulesTest {
+
+    private val json = Json { encodeDefaults = true }
+
+    private fun config(options: PegSolitaireOptions = PegSolitaireOptions()) = TableConfig(
+        gameId = "pegsolitaire",
+        seats = listOf(PlayerSlot(seat = 0, name = "P0", kind = PlayerKind.HUMAN_LOCAL, team = 0)),
+        optionsJson = json.encodeToString(options),
+        seed = 1L,
+    )
+
+    @Test
+    fun `every board has the number of holes it claims`() {
+        PegBoard.entries.forEach { board ->
+            assertEquals(board.label, board.holeCount, board.holes().size)
+        }
+    }
+
+    @Test
+    fun `a triangle staggers its rows and a cross does not`() {
+        // Six ways off a hole on a triangle, four on a square grid. This is the
+        // only thing that differs between the two shapes.
+        assertEquals(6, PegBoard.TRIANGLE_15.directions().size)
+        assertEquals(6, PegBoard.TRIANGLE_21.directions().size)
+        assertEquals(4, PegBoard.ENGLISH_CROSS.directions().size)
+        assertEquals(4, PegBoard.FRENCH_CROSS.directions().size)
+        assertEquals(4, PegBoard.DIAMOND_41.directions().size)
+        // No diagonal creeps into a cross board.
+        assertTrue(PegBoard.ENGLISH_CROSS.directions().all { (dr, dc) -> dr == 0 || dc == 0 })
+    }
+
+    @Test
+    fun `the cross boards are cut where they should be`() {
+        val english = PegBoard.ENGLISH_CROSS.holes()
+        assertFalse("a two-by-two corner is gone", english.contains(Hole(0, 0)))
+        assertFalse(english.contains(Hole(1, 1)))
+        assertTrue(english.contains(Hole(0, 3)))
+        assertTrue(english.contains(Hole(3, 3)))
+
+        val french = PegBoard.FRENCH_CROSS.holes()
+        // The shallower cut takes three holes per corner, so (1,1) survives.
+        assertFalse(french.contains(Hole(0, 0)))
+        assertFalse(french.contains(Hole(0, 1)))
+        assertFalse(french.contains(Hole(1, 0)))
+        assertTrue("the French cut leaves this one", french.contains(Hole(1, 1)))
+
+        val diamond = PegBoard.DIAMOND_41.holes()
+        assertTrue(diamond.contains(Hole(0, 4)))
+        assertTrue(diamond.contains(Hole(4, 0)))
+        assertFalse(diamond.contains(Hole(0, 0)))
+    }
+
+    @Test
+    fun `a board opens one peg short`() {
+        val state = PegSolitaireRules.initialState(config())
+        assertEquals(PegBoard.TRIANGLE_15.holeCount - 1, state.remaining)
+        assertFalse("the opening hole is empty", state.pegs.contains(Hole(0, 0)))
+        assertEquals(0, state.jumps)
+        assertNull(state.lastJump)
+    }
+
+    @Test
+    fun `the tee game opens with exactly two jumps, both into the apex`() {
+        val state = PegSolitaireRules.initialState(config())
+        val jumps = PegSolitaireRules.legalJumps(state)
+        assertEquals(2, jumps.size)
+        assertTrue("every opening jump lands in the empty hole", jumps.all { it.to == Hole(0, 0) })
+        assertEquals(setOf(Hole(2, 0), Hole(2, 2)), jumps.map { it.from }.toSet())
+        // The jumped peg is the one between the ends, and it is never invented.
+        assertEquals(setOf(Hole(1, 0), Hole(1, 1)), jumps.map { it.over }.toSet())
+    }
+
+    @Test
+    fun `a jump moves one peg and takes the one it passed`() {
+        val state = PegSolitaireRules.initialState(config())
+        val jump = PegJump(from = Hole(2, 0), to = Hole(0, 0))
+        val after = PegSolitaireRules.applyMove(state, 0, jump)
+        assertFalse("the mover left", after.pegs.contains(Hole(2, 0)))
+        assertFalse("the jumped peg was taken", after.pegs.contains(Hole(1, 0)))
+        assertTrue("the mover arrived", after.pegs.contains(Hole(0, 0)))
+        assertEquals(state.remaining - 1, after.remaining)
+        assertEquals(1, after.jumps)
+        assertEquals(jump, after.lastJump)
+    }
+
+    @Test
+    fun `a jump needs a peg to pass and an empty hole to land in`() {
+        val state = PegSolitaireRules.initialState(config())
+        // Landing hole already occupied.
+        assertThrows { PegSolitaireRules.applyMove(state, 0, PegJump(Hole(4, 0), Hole(2, 0))) }
+        // Nothing to jump over: (1,0) is empty only after a jump, but (0,0) is
+        // the opening hole, so a jump starting there has no peg to move.
+        assertThrows { PegSolitaireRules.applyMove(state, 0, PegJump(Hole(0, 0), Hole(2, 0))) }
+        // Straight off the board.
+        assertThrows { PegSolitaireRules.applyMove(state, 0, PegJump(Hole(2, 0), Hole(2, 4))) }
+    }
+
+    @Test
+    fun `only the one seat may play`() {
+        val state = PegSolitaireRules.initialState(config())
+        assertEquals(0, PegSolitaireRules.currentSeat(state))
+        assertTrue(PegSolitaireRules.legalMoves(state, 1).isEmpty())
+        assertThrows { PegSolitaireRules.applyMove(state, 1, PegJump(Hole(2, 0), Hole(0, 0))) }
+    }
+
+    @Test
+    fun `a table for anything but one seat is refused`() {
+        val twoSeats = TableConfig(
+            gameId = "pegsolitaire",
+            seats = (0..1).map {
+                PlayerSlot(seat = it, name = "P$it", kind = PlayerKind.AI, team = it)
+            },
+            optionsJson = json.encodeToString(PegSolitaireOptions()),
+            seed = 1L,
+        )
+        assertThrows { PegSolitaireRules.initialState(twoSeats) }
+    }
+
+    @Test
+    fun `one peg left is solved, and the stricter goal asks where`() {
+        val loose = PegSolitaireOptions(goal = PegGoal.ONE_PEG)
+        val strict = PegSolitaireOptions(goal = PegGoal.ONE_PEG_IN_START)
+        val base = PegSolitaireRules.initialState(config(loose))
+
+        val elsewhere = base.copy(pegs = setOf(Hole(4, 2)))
+        assertTrue(elsewhere.solved)
+        assertFalse("the strict goal wants it back where it started", elsewhere.copy(options = strict).solved)
+
+        val atStart = base.copy(options = strict, pegs = setOf(Hole(0, 0)))
+        assertTrue("the survivor is in the opening hole", atStart.solved)
+    }
+
+    @Test
+    fun `a board with no jumps left is finished, solved or not`() {
+        val state = PegSolitaireRules.initialState(config())
+        // Two pegs far apart cannot reach each other, so nothing can jump.
+        val stuck = state.copy(pegs = setOf(Hole(4, 0), Hole(4, 4)))
+        assertTrue(PegSolitaireRules.isFinished(stuck))
+        assertFalse(stuck.solved)
+        assertNull(PegSolitaireRules.currentSeat(stuck))
+        assertTrue(PegSolitaireRules.summary(stuck).contains("Stuck"))
+
+        val won = state.copy(pegs = setOf(Hole(2, 1)))
+        assertTrue(PegSolitaireRules.isFinished(won))
+        assertTrue(won.solved)
+    }
+
+    @Test
+    fun `an opening hole has to be a hole on the board`() {
+        assertThrows { PegSolitaireOptions(board = PegBoard.TRIANGLE_15, startEmpty = Hole(9, 9)) }
+        // A hole that exists on one board but not another.
+        assertThrows {
+            PegSolitaireOptions(board = PegBoard.ENGLISH_CROSS, startEmpty = Hole(0, 0))
+        }
+    }
+
+    @Test
+    fun `every board can be opened and played`() {
+        // Each board deals, offers jumps, and runs to a finish without the rules
+        // throwing. This is what catches a geometry that produces a board nobody
+        // can move on at all.
+        PegBoard.entries.forEach { board ->
+            val state = PegSolitaireRules.initialState(
+                config(PegSolitaireOptions(board = board)),
+            )
+            assertEquals(board.holeCount - 1, state.remaining)
+            assertTrue(
+                "${board.label} should have an opening jump",
+                PegSolitaireRules.legalJumps(state).isNotEmpty(),
+            )
+            val end = playOut(state)
+            assertTrue(PegSolitaireRules.isFinished(end))
+            assertTrue("${board.label} should take pegs off", end.remaining < state.remaining)
+        }
+    }
+
+    @Test
+    fun `restart puts every peg back`() {
+        val state = PegSolitaireRules.initialState(config())
+        val played = PegSolitaireRules.applyMove(state, 0, PegJump(Hole(2, 0), Hole(0, 0)))
+        val again = PegSolitaireRules.restart(played)
+        assertEquals(state.pegs, again.pegs)
+        assertEquals(0, again.jumps)
+        assertNull(again.lastJump)
+    }
+
+    @Test
+    fun `nothing is hidden from the only player`() {
+        val state = PegSolitaireRules.initialState(config())
+        assertEquals(state, PegSolitaireRules.viewFor(state, 0))
+    }
+
+    @Test
+    fun `state and moves survive a round trip`() {
+        PegBoard.entries.forEach { board ->
+            val state = PegSolitaireRules.initialState(
+                config(PegSolitaireOptions(board = board, goal = PegGoal.ONE_PEG_IN_START)),
+            )
+            assertEquals(state, PegSolitaireRules.decodeState(PegSolitaireRules.encodeState(state)))
+        }
+        val move: PegSolitaireMove = PegJump(Hole(2, 0), Hole(0, 0))
+        assertEquals(move, PegSolitaireRules.decodeMove(PegSolitaireRules.encodeMove(move)))
+    }
+
+    /** Runs a board to a standstill using the AI, which never has to guess. */
+    private fun playOut(from: PegSolitaireState): PegSolitaireState {
+        var state = from
+        // Each jump takes exactly one peg off, so the board cannot outlast its
+        // own peg count — a loop that did would be a bug in applyMove.
+        var guard = from.remaining + 1
+        while (!PegSolitaireRules.isFinished(state) && guard-- > 0) {
+            val legal = PegSolitaireRules.legalMoves(state, 0)
+            state = PegSolitaireRules.applyMove(state, 0, PegSolitaireAi.chooseMove(state, 0, legal))
+        }
+        assertTrue("playing out should terminate", guard > 0)
+        return state
+    }
+
+    private fun assertThrows(block: () -> Unit) {
+        try {
+            block()
+            throw AssertionError("expected the rules to reject that")
+        } catch (expected: IllegalArgumentException) {
+            // Rejected, which is the point.
+        }
+    }
+}