The three-card cap is Shamrocks’ binding constraint — adjacent-rank freedom means nothing once a fan saturates.
Shamrocks allows any-rank fan-to-fan movement (one rank higher or lower, any suit), which creates more legal moves than La Belle Lucie. But each fan holds at most three cards and there are no redeals. Capacity saturation happens faster than it looks, and a saturated fan can only be freed by moving a card to a foundation — not to another fan.
Last updated: June 2026
How Shamrocks differs from La Belle Lucie
La Belle Lucie: seventeen fans of three, same-suit downward building, two redeals allowed. Shamrocks: seventeen fans of three (plus one fan of one card), adjacent-rank building in any suit, no redeals, and a three-card cap per fan.
The adjacent-rank rule means a card can move to any fan whose top is one rank higher or one rank lower than the moving card, regardless of suit. This quadruples the number of legal moves per turn compared to La Belle Lucie’s same-suit requirement. Fans that are permanently blocked in La Belle Lucie often have multiple destinations in Shamrocks.
The catch: the three-card cap means each fan can only grow by two cards from its initial one-card top (initial fans have three cards, so actually each fan starts full and must shrink before accepting new cards). A fan at three cards is locked until a card leaves it. And the only way a card leaves a fan is via a foundation play — there is no redeal to shuffle things around.
Unlike redeal games where shuffling redistributes cards, Shamrocks’ capacity can only be freed by removing cards to foundations. Every foundation play opens one fan slot. Every move that does not eventually lead to a foundation play is just repositioning cards within the same finite capacity.
Full rules
The 52-card deck is dealt into seventeen fans of three cards and one fan of one card. Only the top card of each fan is movable. A top card can move to a foundation (building upward by suit from Ace to King) or to any fan whose top card is one rank higher or lower, any suit. A fan may hold at most three cards at any time.
Empty fans can receive any single card. There are no redeals. Win when all 52 cards reach the four foundations.
The capacity problem: fans start full
Every fan starts with three cards. Every fan is at capacity from move one. This means no fan-to-fan move is possible until a card leaves a fan. Cards can only leave fans by going to a foundation or by being the top card of a fan that another card moves onto (which doesn’t free capacity — moving a card onto a full fan would violate the cap).
Wait — re-read the rule. A fan-to-fan move takes the top card from one fan and places it on another fan. The source fan now has two cards (freeing one slot). The receiving fan now has four? No — the cap prevents that. So fan-to-fan moves are only legal when the receiving fan has fewer than three cards.
This means the capacity constraint bites immediately: no fan can receive a card unless it has been reduced below three cards. The only way to reduce a fan below three cards is to move its top card somewhere else — but every other fan also starts at three cards. The game becomes possible because the initial tops can move to foundations (Aces go immediately) or to fans whose tops they are adjacent to but where we can accept the move because the cap would not be exceeded.
In practice, the game opens by playing any accessible Aces to foundations immediately, then identifying fan-to-fan moves that bring a fan to two cards (allowing a third card to later stack on it). The early game is a chain reaction of opening capacity.
Adjacent-rank planning: avoiding dead cycles
With any-rank adjacency, it is easy to move card A onto fan X, then move card B onto where A was, then move A back. These cycles feel like progress but change nothing. A move is only valuable if it either:
- Places a card on a foundation (the only true progress), or
- Creates a fan state where a foundation play becomes available within the next one or two moves.
Fan A is topped by 7♥. Fan B is topped by 6♣. The 7 could move onto an 8, and the 6 could move onto a 7 (like fan A) or a 5. If you move 7♥ onto a nearby 8, fan A’s new top is 6♦. Now 6♣ and 6♦ both sit on fan tops — but 6s can only go to 7s or 5s. If neither a 7 nor a 5 is available as a fan top elsewhere, both 6s are now stuck.
Before moving the 7, check whether the resulting 6-heavy board creates a worse deadlock than the current position. The adjacent-rank rule creates many legal moves but few that don’t eventually deadlock if not planned two or three steps ahead.
Using empty fans strategically
When a fan is fully emptied (all three cards have left it via foundation or fan-to-fan moves), the empty space can receive any single card. This is valuable routing space that temporarily breaks the adjacency constraint — any card can go to an empty fan, not just adjacent-rank cards.
Use empty fans to:
- Temporarily stage a card that is blocking a foundation play beneath it.
- Route a card to a suit-appropriate fan when no adjacent-rank path exists.
- Break a deadlock where no legal adjacent-rank move leads anywhere productive.
Do not use empty fan space casually. Every empty fan receives only one card before it becomes a one-card fan (which can then only accept a two-card fan fill if space allows). Treat empty fans as high-value routing resources, not parking lots.
Shamrocks vs. La Belle Lucie and The Fan
- La Belle Lucie: Same-suit downward building; two redeals available. Much more restricted movement per turn, but redeals rescue poor positions.
- Shamrocks: Adjacent-rank any-suit building; no redeals; three-card cap. More movement freedom, but permanent capacity and no rescue mechanism.
- The Fan:Same-suit downward building; Kings fill empty fans. No redeals; different recovery mechanism (King placement) versus Shamrocks’ adjacency freedom.
Shamrocks is roughly similar in difficulty to La Belle Lucie: the extra movement freedom and the no-redeal / cap constraint roughly cancel out.
What collapses a Shamrocks game
- Making fan-to-fan moves without a path to foundation. Adjacent-rank freedom enables many moves that accomplish nothing. Every move should be traceable to a foundation play within two or three turns.
- Filling high-priority fans to three cards before extracting their buried foundation candidates. A fan at three cards cannot receive new cards. If a fan holds a 2 (which should go to foundation) beneath a 3 and a 4, those top cards need to leave before the 2 can be extracted.
- Moving cards in cycles without structural gain. A-to-B, B-to-C, C-to-A type sequences just shuffle capacity around. Watch for cycle patterns and break out by targeting a foundation play.
- Not planning which fans will serve as empty-fan staging areas.Empty fans are rare in Shamrocks (you must completely clear a fan to empty it). Plan which fans are most likely to be fully cleared early and reserve them for future routing, not opportunistic one-card storage.