What is Calculation?
Calculation Solitaire is a non-standard patience game where suits are completely irrelevant and the four foundations build by arithmetic intervals rather than consecutive ranks. The four foundations start on Ace, 2, 3, and 4, and build by increments of 1, 2, 3, and 4 respectively — wrapping around when they exceed 13. This means foundation placement is calculated, not obvious, and waste-pile management is the primary tactical challenge.
Full rules
One Ace, one 2, one 3, and one 4 are removed from the deck and placed on the four foundation starting positions. The foundations build as follows:
- Foundation A (starts on Ace): A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K
- Foundation B (starts on 2): 2, 4, 6, 8, 10, Q, A, 3, 5, 7, 9, J, K
- Foundation C (starts on 3): 3, 6, 9, Q, 2, 5, 8, J, A, 4, 7, 10, K
- Foundation D (starts on 4): 4, 8, Q, 3, 7, J, 2, 6, 10, A, 5, 9, K
Suits are irrelevant. Four waste piles serve as temporary storage. The stock deals one card at a time; a card goes to a foundation if it fits, or to any one of the four waste piles. Only the top waste card is available. Win when all 52 cards reach foundations.
The waste-pile trap
The four waste piles sound like generous storage, but they are the game’s central trap. A card placed in a waste pile stays there until all cards above it are removed — and removal only happens by playing them to foundations. A waste pile that accumulates many cards in the wrong order becomes a prison: the needed card is buried under cards that will not be foundationed until later in the sequence.
Strong Calculation play involves thinking about the sequence each waste pile will need to deliver. Ideally, waste pile 1 holds cards needed for foundation A, waste pile 2 for foundation B, and so on — though maintaining this alignment is rarely perfect.
Read the Calculation strategy guide →
Arithmetic sequencing
Knowing the full sequence of each foundation in advance is the primary cognitive skill in Calculation. With four different intervals, a card of rank 7 might be immediately needed on foundation A (if at 6), several steps away on foundation B (if at 8), or on a different foundation entirely. Memorizing or quickly computing each foundation’s next required rank before each stock deal prevents misplacing cards.
The last card on every foundation is always a King — all four sequences end at 13. This is the game’s one guarantee of symmetry in an otherwise purely arithmetic structure.
Related arithmetic and stock games
- Golf Solitaire — suits irrelevant; rank adjacency rather than arithmetic intervals
- Clock Solitaire — rank-based placement with no player choices; fully mechanical
- Canfield — stock with waste pile; wrapping foundation sequences
Related games and reference