The inverted layout opens wide at the top, then narrows — and each removal becomes more consequential as the board shrinks.
Triangle pairs to 12, not 13, and lays the cards in an inverted triangle: the widest row is at the top and the layout narrows to its point at the bottom. This flips both the access pattern and the complement table relative to standard Pyramid, demanding a different planning lens from the first move.
Last updated: June 2026
The pair-to-12 rule and what changes
Standard Pyramid pairs cards whose ranks sum to 13: Ace (1) + Queen (12), 2 + Jack (11), 3 + Ten (10), 4 + Nine (9), 5 + Eight (8), 6 + Seven (7). Kings (13) go alone.
Triangle shifts every complement by one:
- Queen (12) — removed alone (no card of rank 0 exists)
- Jack (11) + Ace (1) = 12
- Ten (10) + Two (2) = 12
- Nine (9) + Three (3) = 12
- Eight (8) + Four (4) = 12
- Seven (7) + Five (5) = 12
- Six (6) + Six (6) = 12 (sixes pair with each other)
Kings (13) exceed 12 and cannot form a pair-to-12 with any other card. The implementation handles Kings differently by implementation — check the in-game rules for the exact treatment. In most versions, Kings must be cleared by some special mechanic or are simply removed when they become exposed without needing a partner.
Queens go alone — just as Kings go alone in standard Pyramid. Plan to remove Queens as soon as they are exposed, since they are free clears that open access to the cards they were blocking without spending any complement.
How the inverted layout changes access patterns
In standard Pyramid, the apex (one card) is hardest to access because the entire pyramid must be mostly cleared before the apex can be reached. Triangle inverts this: the widest row is at the top and immediately exposed, while the bottom narrows to the hardest-to-reach position.
The practical consequence: the opening of Triangle is easy — many cards are immediately accessible, and pairs are plentiful. The middle game tightens as rows narrow, and the endgame can become extremely constrained when only the bottom few positions remain accessible. Each removal in the lower rows has outsized impact because there are so few remaining positions.
Blocking in an inverted pyramid works in reverse: a card in a lower row is blocked by the two cards in the row above it that overlap its position. The upper row cards are always the exposed ones. To access deeper (lower) cards, you must remove the upper-row cards that cover them.
Early-game: the opening is wide, but not free
With the top row fully exposed and many legal pairs available immediately, Triangle tempts players into fast removal without thinking about what gets uncovered next. The risk is that easy early pairs consume complements that will be needed later when the layout is narrower and options are fewer.
Before taking any obvious early pair, ask:
- Does this pair remove a blocker that exposes two lower-row cards, or does it only clear one card with no meaningful reveal?
- Is the complement of the card I’m using also present in the layout? If so, can I defer this use and let both copies pair with pyramid cards directly?
- Will taking this pair create an orphan (a card whose only complements I’ve already spent)?
Middle-game: managing the narrowing
As the upper rows clear, the accessible frontier shrinks. Where row 7 (widest) had seven positions to work with, reaching deeper rows means fewer simultaneous options. Mid-game planning shifts from “which of these many pairs should I take?” to “what order should I clear these remaining positions to unlock the path to the bottom?”
Three cards remain in an intermediate row: 9♥, 6♣, 3♠. Below them, only two positions are still blocked: the first is covered by both 9♥ and 6♣; the second is covered by both 6♣ and 3♠.
The 6♣ covers both lower positions. Remove 6♣ first (it pairs with 6 of any suit if available, or with a waste card). Removing 9♥ only unblocks the first lower position; removing 3♠ only unblocks the second. Removing 6♣ first is the higher-leverage move because it opens access to both lower positions.
Stock and waste: Triangle-specific use
Like standard Pyramid, Triangle uses a stock and waste pile. The waste provides complement partners when the layout alone cannot produce pairs. Triangle-specific considerations:
- Sixes pair with each other.Both copies of a six sum to 12. When both sixes surface (one in the layout, one in the waste), that’s a free pair that costs nothing from the complement budget of other ranks.
- Queens never need a partner.Never spend a waste card to “help” a Queen — Queens clear alone. The waste should be reserved for ranks that actually need partners.
- Jacks need Aces. With only four Aces in the deck, Jack-clearance is Ace-limited. Track Ace availability carefully; each Ace spent on a Jack reduces the Ace supply available for other Jacks.
Triangle vs. standard Pyramid
The two games share the same mechanical DNA — pair removal, blocked access structure, stock and waste — but the strategic emphases differ:
- Access direction: Pyramid starts hard (apex inaccessible) and opens up as you clear. Triangle starts easy (top row exposed) and closes down as you advance.
- Complement table: Queens go alone in Triangle; Kings go alone in Pyramid. The complement table shifts all pair relationships by one rank.
- End-game pressure:Pyramid’s end-game is about finally reaching the apex. Triangle’s end-game is about working within an extremely constrained layout where every remaining removal matters greatly.
What breaks a Triangle game
- Confusing the complement table with Pyramid’s.If you play Pyramid regularly, the instinct to pair-to-13 is strong. Triangle pairs to 12 — every complement is one rank lower.
- Spending Ace complements (for Jacks) early without checking Jack inventory.With only four Aces and four Jacks in the deck, each Ace can pair one Jack. If Jacks are distributed deep in the layout, preserve Aces until those Jacks become accessible.
- Over-clearing the top rows without a plan for the narrowing middle.Clearing the top rows feels like progress, but if the clearings consume complements needed to access the lower rows, the easy early progress creates a mid-game trap.
- Ignoring blocked dependencies. Before each pair removal, check which lower-row card it uncovers and whether that revealed card will help or create an orphan problem.