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Pyramid

Pyramid is a single-player card game of patience, commonly known as a solitaire, belonging to the Simple Addition family. The objective is to dismantle a triangular tableau of 28 cards by pairing exposed cards whose ranks sum to thirteen. Its distinctive visual layout and straightforward arithmetic core make it a popular and accessible solitaire variant, though its low win rate presents a persistent strategic challenge. The game is widely available in digital forms, including in the Microsoft Solitaire Collection and through free online platforms like AARP and Reader's Digest Canada, offering a classic puzzle for Canadian card game enthusiasts.

Game Rules and Objective

The primary goal in Pyramid is to remove all cards from the pyramid tableau and, under standard rules, from the stock pile as well. A standard 52-card deck is used, shuffled at the start. The game begins by dealing 28 cards face up into a pyramid formation. The top row consists of a single card, the second row has two cards partially overlapping the first, and this pattern continues down to a seventh row of seven cards. The remaining 24 cards are placed face down to form the stock pile. Card values for pairing are numeric: Aces count as 1, numbered cards as their face value, Jacks as 11, Queens as 12, and Kings as 13. A card is considered exposed and available for pairing only if no other cards are covering it from above in the pyramid structure.

On each turn, a player may remove any two exposed cards whose ranks total thirteen. Kings, valued at thirteen, are removed singly. Removed cards are discarded to a foundation and are out of play. If no exposed pairs are available in the pyramid, the player draws the top card from the stock pile one at a time. This drawn card can be paired with any exposed card from the pyramid. If no match is made, the drawn card is placed face up on a waste pile. The top card of the waste pile remains available for pairing at any time. The game ends when the stock is exhausted and no more legal pairs can be made from the exposed cards. Under the strictest rules, to win the game a player must move all cards from both the pyramid and the stock to the foundation, resulting in a perfect score of zero cards remaining.

Players must assess the exposed cards in the pyramid first before deciding to draw from the stock. The drawn stock card offers a new opportunity for a match but, if unused, becomes the new top card of the waste pile. Some digital implementations allow only three cycles through the deck, adding pressure to make matches efficiently. The fundamental restriction that a card cannot be removed if it is covered by another card is the central constraint that defines the game's strategy and difficulty. For example, if an Ace rests on a Queen, that Queen cannot be removed until the Ace is cleared.

The south face of the Transamerica Pyramid as seen in 2017.
Photo: Dllu / Wikimedia Commons (CC BY-SA 4.0)

Setup and Card Pairing Mechanics

Setting up a game of Pyramid requires precise card placement to create the triangular shape. After shuffling, the dealer lays out cards in rows from top to bottom, with each card in a row placed slightly over two cards in the row below it. This creates a structure of 28 cards with a base of seven. The specific card combinations that sum to thirteen are fixed by the deck's composition. There are four of each rank in a standard deck, which means each valid numeric pair allows for up to four possible removal instances if the cards are available. Understanding these pairs is essential for planning moves.

The seven fundamental pairs that add to thirteen are Ace (1) and Queen (12), 2 and Jack (11), 3 and 10, 4 and 9, 5 and 8, 6 and 7, and King (13) alone. Players must constantly scan for these combinations among the exposed cards. The game's arithmetic nature makes it an excellent tool for practicing mental addition. The pairing mechanic is purely rank-based, with suits playing no role whatsoever. This distinguishes it from many other solitaire games where suit colour and sequence are critical. The following list details all valid card pairings based on rank.

  • Ace (1) + Queen (12): Any Ace can pair with any Queen.
  • 2 + Jack (11): Any Two can pair with any Jack.
  • 3 + 10: Any Three can pair with any Ten.
  • 4 + 9: Any Four can pair with any Nine.
  • 5 + 8: Any Five can pair with any Eight.
  • 6 + 7: Any Six can pair with any Seven.
  • King (13): Removed individually without a partner.

When playing the digital version found in the Microsoft Solitaire Collection, a notable rule change is that the cards in the stock are dealt face-up rather than face-down. This provides full information about upcoming cards from the stock, which can significantly alter strategy by allowing for long-term planning. In most other online versions, the stock remains face down, introducing an element of uncertainty. The waste pile functions as a secondary, constantly changing source of cards that can be matched with the pyramid or with a newly drawn stock card. The Par Pyramid variation allows the waste pile to be turned over and redealt as a new stock twice.

Video: Get to the Point with this Pyramid Solitaire Tutorial (Game Rules, YouTube)

Strategy and Difficulty

Pyramid's strategic depth arises from the blocking dependencies created by its overlapping tableau. Each card in an upper row covers two cards in the row directly beneath it. A player cannot remove a buried card until both cards covering it are gone. This creates cascading sequences where early pairing decisions directly impact which cards become available later in the game. Effective strategy involves looking several moves ahead to identify which pair removals will unlock the greatest number of future options, rather than simply taking the first available match. The spatial planning required distinguishes Pyramid from sequence-building solitaires like Klondike.

The game is noted for its low probability of victory. Analysis suggests only about 2% of randomly dealt games are theoretically winnable under the strictest rules, equating to roughly 1 win in 50 attempts. This low win rate is attributed to the high likelihood of essential cards being permanently blocked by the initial pyramid layout. Many games are effectively unwinnable from the opening deal, which makes a successful clear feel genuinely earned. This scarcity of wins contributes to the game's replay value and persistent challenge for solitaire enthusiasts.

Key strategic principles include prioritizing the removal of cards that block multiple cards beneath them, especially those in the lower rows. Conserving certain high-value cards like Queens and Jacks to pair with low-value cards drawn later from the stock can be crucial. Players must also manage the waste pile carefully, as a poorly chosen match can bury a useful card under others in the waste. Digital versions often include an undo button, allowing players to experiment with different move sequences and learn from mistakes without penalty. The game's short average playtime of about five minutes encourages repeated attempts to conquer a difficult layout.

Base of the TransAmerica Pyramid in San Francisco, California
Photo: TheWB / Wikimedia Commons (CC BY-SA 3.0)

Common Variations and Rule Modifications

Numerous rule variations have developed around the core Pyramid gameplay, altering difficulty and win conditions. The most common is Relaxed Pyramid, where a player wins by removing all cards from the pyramid tableau alone, even if cards remain in the stock or waste piles. This significantly increases the achievable win rate. Another popular variant is Tut's Tomb, also known as King Tut, which was released in the Microsoft Entertainment Pack 2 in 1991. In this version, cards totalling thirteen are placed in a stack, and three cards are dealt from the stock at a time.

Other notable variations include Apophis, which uses three waste piles instead of one, and Giza, a version created by Michael Keller that deals the remaining deck into three rows of eight cards after forming the pyramid. Triangle is a variant that starts with an inverted pyramid layout. Some rule sets allow redeals, where the waste pile can be turned over to form a new stock, typically once or twice. Other modifications introduce a reserve of cards dealt below the pyramid or a single cell that can hold a card temporarily. When played with a 48-card Spanish deck, the target sum changes to twelve, as Kings are the highest card at that value. Several variations allow a card on the pyramid to be removed in combination with a card it covers, provided neither card is covered by a card not in the combo.

  • Relaxed Pyramid: Win condition requires only the pyramid to be cleared.
  • Tut's Tomb (King Tut): Features three-card draws and a dedicated foundation stack.
  • Apophis: Employs three separate waste piles.
  • Giza: Adds a tableau of three rows of eight cards from the remaining deck.
  • Triangle: Uses an inverted pyramid for the initial deal.
  • Redeals: Permits turning over the waste pile to create a new stock.
  • Spanish Deck Variant: Uses a 48-card deck with a target sum of 12.
  • Cell Variant: Includes a single free cell for holding a card temporarily.

Digital Availability and Popularity

Pyramid has been a staple of digital solitaire collections for decades, ensuring its ongoing popularity. Its first major digital appearance was as Tut's Tomb in the Microsoft Entertainment Pack 2 for Windows in 1991. The game was later integrated into the Microsoft Solitaire Collection for Windows 8, Windows 10, Android, and iOS, where the stock cards are typically displayed face up. This digital version has introduced the game to millions of players worldwide. Numerous other websites and app developers offer free online versions, making Pyramid one of the most accessible solitaire games on the internet.

In Canada, the game is prominently featured on the websites of major organizations like AARP and Reader's Digest Canada, which host free, browser-based versions. These platforms often use the Relaxed Pyramid rules, making the game more approachable for casual players. The game's simple visual design and quick playtime of around five minutes per round make it well-suited for mobile and online play. Digital implementations frequently include features like undo buttons, hints, and score tracking, which aid learning and strategy development for new players. Websites like Solitaire Bliss and TreeCardGames, which offers over 800 solitaire games, also host Pyramid, often with customizable card sets and backgrounds.

The range of digital offerings includes both simple web versions and full-featured applications. Pyramid Solitaire 2026: Cards is an example of a dedicated mobile app available on app stores, marketed for its relaxing and easy gameplay. The AARP version is notable for being directly accessible to members and the public, emphasizing the game's appeal to an older demographic that enjoys classic card games. These online hosts ensure the game remains in the public consciousness, providing a consistently available puzzle that requires no physical deck of cards. The copyright notices on many of these sites, extending to 2026, indicate ongoing development and maintenance.

Pyramid Mountain and Lake at dawn
Photo: Florian Fuchs / Wikimedia Commons (CC BY 3.0)

Comparison to Similar Solitaire Games

Pyramid is often compared to other solitaire games that feature triangular or peak-shaped tableaus, most notably Tri-Peaks. Both games arrange cards in overlapping rows to form a pyramid, but their core mechanics are fundamentally different. Pyramid is a pure matching game where players pair cards that sum to thirteen. Tri-Peaks is a chain-building game where players remove cards that are one rank higher or lower than the top card of the waste pile, regardless of suit. This key difference results in a vastly different win rate. Tri-Peaks has an average win rate around 55%, while Pyramid's is only about 2%.

Pyramid is also compared to Golf Solitaire, another game known for short play sessions and a low win rate of 3-5%. Both games typically finish in under five minutes, but Golf involves building sequential chains of cards one rank up or down from the waste pile. Pyramid rewards spatial planning and unlocking blocked cards, while Golf emphasizes rapid pattern recognition for adjacent ranks. Players often choose between them based on whether they desire a thoughtful puzzle (Pyramid) or a faster, more fluid game (Golf). The table below illustrates key differences between Pyramid and its closest analogues.

GamePrimary MechanicTypical Win RatePlay TimeKey Distinction
PyramidPair cards summing to 132%~5 minutesArithmetic matching, blocking dependencies
Tri-PeaksBuild chains +/-1 rank55%~5 minutesChain-building, higher win rate
Golf SolitaireBuild chains +/-1 rank3-5%~3 minutesSpeed, sequential pattern recognition

Beyond win rates, the games attract different player preferences. Pyramid and Golf are both described as excellent break games due to their short duration. However, Pyramid is recommended for players who want a spatial puzzle, while Golf is suggested for those who find Pyramid's blocking dependencies exhausting. Tri-Peaks is frequently recommended to players who are drawn to the pyramid shape but frustrated by Pyramid's low odds of success. Each game occupies a distinct niche within the broader solitaire genre, with Pyramid's unique combination of simple rules and deep challenge securing its enduring place.

History and Cultural Footprint

The precise origins of Pyramid are unclear, but the game has been documented in collections of card games since at least the early 20th century. Its association with Egyptian themes, evident in variant names like Tut's Tomb and Apophis, stems from the visual resemblance of its tableau to a pyramid rather than any authentic historical link to ancient Egypt. The game's enduring appeal lies in its elegant combination of simple rules, a striking visual layout, and a deep strategic challenge. It represents a distinct branch of solitaire focused on arithmetic and spatial reasoning, separate from the more common suit-and-sequence building games.

In popular culture, Pyramid maintains a steady presence as a classic computer and mobile game. Its inclusion in the Microsoft Entertainment Pack and subsequent Solitaire collections cemented its status as a standard digital pastime. The game is frequently recommended for educational purposes, as its pairing mechanic can help reinforce basic addition skills for children. For adult players, it offers a mentally engaging puzzle that requires patience and foresight, living up to the 'patience' family name. The continued operation of free online versions through major Canadian media sites ensures it remains a readily available diversion for card game fans across the country.

The game also exists in physical forms, such as vintage magnetic travel versions housed in clear plastic cases, though these are now collector's items. The primary way most people encounter Pyramid today is through digital platforms. Its classification within the Simple Addition family of solitaire games links it to other number-based patience games. The game's rules and strategy have been detailed in numerous online tutorials and video guides, helping new players learn the mechanics. As a part of the broader solitaire tradition, Pyramid contributes a unique and challenging option that continues to test players' planning and arithmetic skills decades after its first recorded appearances.

Questions about Pyramid

How do you win at Pyramid Solitaire?

You win Pyramid Solitaire by removing all cards from the pyramid tableau. Under standard rules, you must also pair and remove all cards from the stock pile, leaving no cards remaining. In the common Relaxed Pyramid variation, you win as soon as the 28-card pyramid is cleared, even if cards are left in the stock. Victory requires pairing all exposed cards whose ranks add up to thirteen, with Kings removed individually as they are worth thirteen. A perfect score is zero cards left in the pyramid and stock.

What is the win rate for Pyramid Solitaire?

The win rate for Pyramid Solitaire under the strictest rules is approximately 2%, meaning only about 1 in 50 randomly dealt games is theoretically winnable. This low probability is due to the high chance of essential cards being permanently blocked by the initial pyramid layout. Variations like Relaxed Pyramid, which only requires clearing the pyramid, have a higher achievable win rate. This low success rate is a defining characteristic of the game's challenge.

Can you play Pyramid Solitaire for free online?

Yes, Pyramid Solitaire is widely available for free online. Major Canadian platforms like Reader's Digest Canada and AARP host browser-based versions that require no download or registration. These sites typically offer the Relaxed Pyramid variant. The game is also part of the Microsoft Solitaire Collection, available for free on Windows, Android, and iOS devices. Numerous other gaming websites and app stores provide free digital versions of this classic card game, including Solitaire Bliss and TreeCardGames.

What are the card values in Pyramid Solitaire?

In Pyramid Solitaire, card values are numeric for the purpose of pairing to reach a total of thirteen. Aces are worth 1, numbered cards (2 through 10) are worth their face value, Jacks are worth 11, Queens are worth 12, and Kings are worth 13. Kings, being valued at thirteen, can be removed singly without a partner. All pairing is based on rank only. The suit of the cards is irrelevant to gameplay. This arithmetic system is the foundation of the Simple Addition solitaire family.

What is the difference between Pyramid and Tri-Peaks Solitaire?

Pyramid and Tri-Peaks both use a triangular card layout but have different core mechanics. Pyramid is a matching game where you remove pairs of exposed cards that add up to thirteen. Tri-Peaks is a chain-building game where you remove cards that are one rank higher or lower than the top card of the waste pile. This leads to a major difference in win rates: Pyramid has about a 2% win rate, while Tri-Peaks has a much higher rate, around 55%. The visual similarity often leads to confusion between the two distinct games.

What is the 'Relaxed Pyramid' rule?

The Relaxed Pyramid rule is a common variation that changes the win condition. In standard Pyramid, you must move all cards from both the pyramid and the stock pile to the foundation. In Relaxed Pyramid, you win the game as soon as you remove all 28 cards from the pyramid tableau, even if cards remain in the stock or waste piles. This rule makes the game easier and increases the practical win rate, and it is the version frequently implemented on free online gaming sites like those from AARP and Reader's Digest Canada.

Sources and further reading

Checked by the Nosy Mag desk. Last updated 2026-11-10.

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