Polyhedral dice

Dodecahedron-shaped dice with balanced indicia distribution on dodecahedron-shaped dice address uneven suit and rank probabilities, providing intuitive gameplay and desired hand combinations, suitable for category games.

GB2700021AInactive Publication Date: 2025-07-16MOLUND PETER NICOLAI
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Patent Information

Application Number
GB2023012773
Authority / Receiving Office
GB · GB
Patent Type
Applications
Current Assignee / Owner
Priority Date
2022-08-28
Filing Date
2023-08-21
Publication Date
2025-07-16
Estimated Expiration
Not applicable · inactive patent

AI Technical Summary

Technical Problem

Existing polyhedral dice designs for games like poker and category games face issues with uneven distribution of suit indicia, leading to fluctuating probability of rolling a particular suit or rank, which complicates player intuition and game design, especially for players familiar with standard six-sided dice.

Method used

Design of dodecahedron-shaped dice with specific indicia configurations ensuring each die has ranks displayed twice and suits displayed thrice, maintaining a one-in-six probability for rolling a particular rank and a one-in-four probability for rolling a particular suit, allowing for intuitive gameplay and formation of consecutive series of ranks or suits.

Benefits of technology

The solution provides a consistent probability structure for rolling ranks and suits, enhancing player intuition and enabling formation of desired hand combinations like straights, flushes, and straight flushes, making the dice suitable for category games while maintaining compatibility with standard six-sided die probabilities.

✦ Generated by Eureka AI based on patent content.

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Abstract

Disclosed is a set of dice each having 12 sides (dodecahedral), each face of each die displaying indicia from two sets of indicia; one indicium 14 from a set of six indicia, together with another ind
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Description

UNITED KINGDOM INTELLECTUAL PROPERTY OFFICE PATENT APPLICATION TITLE Polyhedral dice INVENTOR Peter Nicolai Molund, London, United Kingdom BACKGROUND Dice with playing card indicia, i.e., dice displaying a combination of rank and suit indicia, commonly referred to as poker dice, have existed for a long time; an early patent dates to 1881, US. Pat. No. 244,520. Most versions of poker dice are presented in a standard six-sided cube format. On a six-sided poker die, the four traditional playing card suits cannot be evenly distributed, unless two sides of the die lack suit indicia. The disadvantage of an uneven distribution of suit indicia, across a set of dice, e.g., where some of the dice feature two instances of a particular suit and others only feature one instance of the same suit, is that the probability of rolling a particular suit depends on the die or dice already rolled, or left to roll. The player must keep track of individual dice to estimate the probabilities of suit-based scores, and it is more challenging to gain an intuition of the scoring probabilities through playing the game over time, as the frequency of rolling suit-based scores will fluctuate from one scenario to another, depending on the die or dice already rolled, or left to roll. The disadvantage of leaving two sides without suit indicia, on the other hand, is that the probability of rolling a particular suit is one in six, the same as a rolling a particular rank, which makes the distinction between ranks and suits less meaningful from a game design point of view. For example, there would be no meaningful rank order difference, and associated point difference, between rolling five ranks of the same kind (known as a five of a kind) and five suits of the same kind (known as a flush). Poker dice of other polyhedrons have been patented, including twelve-sided dice, e.g., US. Pat. No. 645,112; US. Pat. No. 3,608,905; US. Pat. No. 5,145,175; and US. Pat. No. 5,224,708. While these dice provide evenly distributed suit indicia, the probability of rolling a particular rank differs from the standard die’s one-in-six probability. This might not be a material disadvantage for the preferred use for most of these dice, namely games that simulate the gameplay of poker, and other card games. Indeed, several of these dice are explicitly designed to distribute the 52 rank-suit combinations of a standard playing card deck across a set of dice, in which the ranks are symmetrically distributed over the set so that, by design, no rank features more than once on a single die. The probability of rolling a particular rank of such a die, consequently, is equivalent to one divided by the number of sides of said die. There are certain games, however, where it would be a disadvantage to use a die where the probability of rolling a particular rank differs from a standard die. Such games would, generally, include games from the genre of dice games sometimes called “category games,” which includes games such as Yatzy, Yacht and Generala. Most casual players with experience of playing such games have developed an intuition for the scoring probabilities using a standard six-sided die, and they could find it challenging to adjust to a category game with a score category structure they are generally familiar with, but that employs dice where the probability of rolling a particular rank differs from the standard die. SUMMARY OF THE INVENTION The present invention comprises one or more dice, with at least twelve sides, wherein at least twelve sides display two indicia; one indicium from a set of six indicia, together with another indicium from a set of four indicia. The indicia are displayed the same number of times on each die; the first indicium is displayed at least twice on each die and the second indicium is displayed at least thrice on each die. The invention may be embodied in both physical and electronic forms, or a combination thereof. In the preferred embodiment, the die, and sets thereof, is a twelve-sided dodecahedron-shaped die and the indicia consist of ranks and suits, respectively. The ranks are displayed twice on each die, and the suits are displayed thrice on each die. For a poker die, this is the geometrically most parsimonious solution to preserve a standard die’s one-in-six probability of rolling a particular rank, while providing identical probability of rolling a particular suit across a set of dice, in which said dice display rank-suit combinations on all sides. Further, in the preferred embodiment, there are four kinds of this die. The first kind displays the ranks Ace, Two, Three, Four, Five, Six, wherein the odd ranks are combined with the suits Spades and Hearts, while the even ranks are combined with Diamonds and Clubs. The second kind also displays the ranks Ace, Two, Three, Four, Five, Six, but the odd ranks are combined with the suits Diamonds and Clubs, while the even ranks are combined with Spades and Hearts. The third kind displays the ranks Seven, Eight, Nine, Jack, Queen, King, wherein the odd ranks are combined with the suits Spades and Hearts, while the even ranks are combined with Diamonds and Clubs. The second kind also displays the ranks Seven, Eight, Nine, Jack, Queen, King, but the odd ranks are combined with the suits Diamonds and Clubs, while the even ranks are combined with Spades and Hearts. The advantage of displaying inverse odd rank-suit combinations on the second and fourth kind, in relation to the first and third kind, respectively, is that it allows for sets of these dice to form a consecutive series of ranks of the same suit, known as a straight flush. The benefit of the rank configuration the third and fourth kind, in relation to the first and second kind, is that these dice can be used in combination with dice of the first and second kind to form a series of consecutive ranks, wherein a Seven is consecutive to a Six and a King is consecutive to an Ace. A fifth kind of die is employed in the preferred embodiment of the invention; it is a dodecahedron-shaped die with Joker, or Jackpot, indicia on two sides, with remaining ten sides being blank. The dice so described are used for playing games in the “category games” genre in the preferred embodiment, but are not restricted to these games. BRIEF DESCRIPTION OF THE DRAWINGS FIGS 1-5 provide two-dimensional views of all twelve sides of six kinds of dodecahedronshaped dice, each kind of die displaying one of five distinct indicia configurations, in the preferred embodiment of the invention. FIG. 1 shows the configuration of indicia on each side of the first kind of die. FIG. 2 shows the configuration of indicia on each side of the second kind of die. FIG. 3 shows the configuration of indicia on each side of the third kind of die. FIG. 4 shows the configuration of indicia on each side of the fourth kind of die. FIG. 5 shows the configuration of indicia on each side of the fifth kind of die. DETAILED DESCRIPTION The following dice describe the preferred embodiment but the invention is not restricted to this particular embodiment. FIG. 1 shows a first kind of dodecahedron-shaped die 10 wherein each pentagonal side 12 displays a rank 14 in combination with a suit 16. Each of the ranks Ace (A), Two (2), Three (3), Four (4), Five (5) and Six (6) are displayed on two sides of the die, and each of the suits Spades (S), Hearts (H), Clubs (C) and Diamonds (D) are displayed on three sides of the die. The odd ranks are combined with Spades and Hearts (AS, AH, 3S, 3H, 5S, 5H) and the even ranks are combined with Clubs and Diamonds (2C, 2D, 4C, 4D, 6C, 6D), so that each consecutive rank is alternating in suit. FIG. 2 shows a second kind of die with the same features as the die shown in FIG. 1 except that the rank-suit combinations are inversed so that the odd ranks are combined with Clubs and Diamonds (AC, AD, 3C, 3D, 5C, 5D) and the even ranks are combined with Spades and Hearts (2S, 2H, 4S, 4H, 6S, 6H). FIG. 3 shows a third kind of die with the same features as the dice shown in FIG. 1 and 2 except that the ranks comprise Seven (7), Eight (8), Nine (9), Jack (J), Queen (Q) and King (K), instead of Ace, Two, Three, Four, Five and Six, and the ranks Eight, Jack and King are combined with Spades and Hearts (8S, 8H, JS, JH, KS, KH) while the ranks Seven, Nine and Queen are combined with Clubs and Diamonds (7C, 7D, 9C, 9D, QC, QD). FIG. 4 shows a fourth kind of die with the same features as the die shown in FIG. 3 except that the rank-suit combinations are inversed so that the ranks Eight, Jack and King are combined with Clubs and Diamonds (8C, 8D, JC, JD, KC, KD) while the ranks Seven, Nine and Queen are combined with Spades and Hearts (7S, 7H, 9S, 9H, QS, QH). FIG. 5 shows a fifth kind of dodecahedron-shaped die wherein ten of the pentagonal sides are blank 50 and wherein two of the sides display an indicium for the of Joker (★) 52. An alternative version of the fifth kind of die displays the indicia of Jackpot (☆) instead of Joker. By virtue of each rank being displayed twice on each kind of die in FIG. 1-5, a characteristic of these dice is that the probability of rolling a particular playing rank is identical to rolling a particular pip configuration with a standard six-sided die, i.e., one in six. This makes the probabilities of these dice, despite their relatively unorthodox shape, more intuitive for a novice player who is only be familiar with games involving standard six-sided dice, than if these dice had any other multiple of distinct ranks displayed. By virtue of each suit being displayed thrice on each kind of die in FIG. 1-4, a further characteristic of these dice is that the probability of rolling a particular suit is the same for each die, i.e., one in four. By virtue of each kind of die in FIG. 1 and 2 displaying all consecutive ranks, a further characteristic of these dice is that rolling a set comprising these dice may result in some or all of the dice producing a consecutive series of ranks, e.g., AS-2D-3S-4H-5D (known as a straight) and by virtue of each kind of die in FIG. 1 and 2 displaying all distinct card suits, a further characteristic is that rolling a set comprising these dice may result in some or all of the dice producing a series of the same suit, e.g., AS-AS-4S-5S-6S (known as a flush). By virtue of the dice in FIG. 1 and 2 displaying inverse odd rank-suit combinations in relation to each other, a further characteristic of these dice is that rolling a set comprising these dice may result in some or all of the dice producing a consecutive series of ranks of the same suit, e.g., AS-2S-3S-4S-5S (known as a straight flush). By virtue of the dice in FIG. 3 and 4 displaying ranks that are consecutive in relation to the highest and lowest ranks of the dice in FIG. 1 and 2, 7-8-9 being consecutive in relation to 6 and J-Q-K being consecutive in relation to A, provided that A can be treated as consecutive to both K and 2, a characteristic of these dice is that rolling a set comprising these dice may result in some or all of the dice producing ranks that can be combined with ranks produced by the dice in FIG. 1 and 2 to produce a consecutive series of ranks, e.g., KH-AS-2D-3S-4H-5D. By virtue of each kind of die in FIG. 3 and 4 displaying all distinct card suits, a further characteristic is that rolling a set comprising these dice may result in some or all of the dice producing suits that can be combined with suits produced by the dice in FIG. 1 and 2 to produce a series of the same suit, e.g., AS-AS-4S-5S-6S-9S. By virtue of the dice in FIG. 3 and 4 displaying inverse combinations of odd rank-suit combinations in relation to each other, a further characteristic of these dice is that rolling a set comprising these dice may result in some or all of the dice producing rank-suit combinations that can be combined with rank-suit combinations produced by the dice in FIG. 1 and 2 to produce a consecutive series of ranks of the same suit, e.g., AS-AS-4S-5S-6S-9S. By virtue of the kind of die in FIG. 5 displaying Joker indicia, or Jackpot indicia, which can be treated as “wild”, i.e., they may represent any rank-suit combination, rolling a set comprising this kind of die may result in some or all of the dice producing a Joker, or Jackpot, which may be used to create, or combine with, any relevant combination, e.g., a consecutive series of ranks such as KH-^-2D-3S-4H-5D, a series of the same suit such as AS-AS-4S-5S-6S-W or a consecutive series of ranks of the same suit such as KS-AS-2S-3S-★-5S. The dice so described are used in dice games belonging to the genre “category games” in the preferred embodiment of the invention, but the invention is not restricted to these games. The game described below, is the preferred game for the employment of said dice. The game employs three dice of the kind shown in FIG. 1, two dice of the kind shown in FIG. 2, one die of the kind shown in FIG. 3, one die of the kind shown in FIG. 4, and two dice of the kind shown in FIG. 5. The five dice of FIG. 1 and 2 will hereinafter collectively be referred to as the “Base dice”, the two dice of FIG. 3 and 4 as the “Court dice”, two dice of FIG. 5 as a “Joker die” and a “Jackpot die”. A turn starts by a player first rolling the five Base dice. After the first roll, the player may opt to re-roll some, none or all of the Base dice. After the second roll, the player may again opt to re-roll some, none or all of the Base dice. Once the player has decided to not reroll any more Base dice or when the two permissible re-rolls have been exhausted, the player may roll the two Court dice together with the Joker die once. The player may then combine the result of the Base dice, Court dice and Joker die to form any combination that qualify for any of the eighteen “Ranks,” “Multiples” and “Arrays” score categories in TABLE A below. Once a player has selected to score in a score category, the player may not score again in that same category for the remainder of the game. If the dice do not qualify for any unscored score category, the player must select a score category to forgo for the remainder of the game. Once a player has selected to score in a score category, or a score category to forego, the score is calculated based on the below table and entered onto a score card, after which the turn ends. The process is repeated for each player in turn until all eighteen turns have been completed for every player. The “Bonuses &Penalties” score categories are calculated and the player with highest total when summing all scores wins the game. TABLE A RANKS Category Score Aces Sun Twos Sun Threes Sun Fours Sun Fives Sun Sixes Sun MULTIPLES Category Score Chance Sun High Die Sun One Pair + 1 Pair Sum | Sum Three of a Kind + 1 Pair + 3 of a Kind Sun | Sum | Sum Four of a Kind + 1 Pair + 3 of a Kind + 3 of a Kind and Ace Sun | Sum | Sum | Sum Five of a Kind + 1 Pair + 3 of a Kind + 4 of a Kind + 5 of a Kind 60 120 240 | 480 | 480* ARRAYS Category Score Flash 35 Sm. Straight +1 boost +2 boost +3 boost Jackpot 20 40 80 | 160 | 320 Lg. Straight +1 boost +2 boost +3 boost Jackpot 20 40 80 1 160 | 320 Red Flush +1 boost +2 boost +3 boost Jackpot 25 50 100 200 400 Black Flush +1 boost +2 boost +3 boost Jackpot 25 50 100 200 400 Straight Flush +1 boost +2 boost +3 boost Jackpot 125 1 25 1 50 | 1000 | 2000 BONUSES &PENALTIES Category Score Ranks T otal >63 >73 > 83 >93 > 103 60 120 260 | 620 | 1800 Cross-Outs =1 =2 =3 >4 -50 1 -75 -90 | -100 Five Aces 5 Ace Yatzy 5 Ace Flash 25 50 500 Royal Flush Royal Flushin Spades 1000 I 3000 Dead Man's Roll -Accumulated score and instant loss Bankruptcy* -Accumulated score *Transfer of accumulated score

Citation Information

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