Gaming Die with Incongruent Sides and More Sides than Outcomes
This invention is a gaming die that use a combination of incongruent sides and a number of sides that is greater than the number of outcomes in order to produce practically fair results.
The present disclosure is generally directed to gaming dice, and more particularly to a gaming die that use a combination of incongruent sides and a number of sides that is greater than the number of outcomes in order to produce practically fair results.
Dice have been created that have incongruent sides and are practically fair, such as the 400 year old juryeonggu die from Korea. This is a fourteen-sided, fourteen-outcome die used in a traditional drinking game. Additionally, there are a few examples of dice with incongruent sides in gaming, such as the Zocchi five-sided die described in U.S. Pat. No. 6,926,275.
Dice have also been created that have more sides than outcomes, such as the four-outcome (d4), eight-sided (octahedron) die, or the ten-outcome (d10) twenty-sided die. The eight-sided d4 is of particular note because it is designed for the purpose of being more aesthetically pleasing than the traditional tetrahedron d4.
It would be useful to have dice that were aesthetically pleasing and fair, as well as simple and cheap to manufacture.
SUMMARYIn one example of a die with incongruent sides and more sides than outcomes according to this invention, the die is a “truncated octahedron” having fourteen sides. An octahedron is used as the base shape, then the “points” are removed to create a shape with six square faces and six hexagonal faces. Outcomes are then assigned to the sides such that there are more sides than outcomes.
In another example of a die with incongruent sides and more sides than outcomes according to this invention, the die is a “chamfered cube” having eighteen sides. A cube is used as the base shape, then the intersections of edges are chamfered, or shaved down, to create a shape with six square faces and twelve hexagonal faces. Outcomes are then assigned to the sides such that there are more sides than outcomes.
These as well as other aspects, advantages, and alternatives, will become apparent to those of ordinary skill in the art by reading the following detailed description, with reference where appropriate to the accompanying drawings.
In the particular embodiment illustrated in
Square sides 110 are substantially flat and substantially square shaped. The surface of square sides 110 can be imprinted with numbers, pips representative of numerical values, or other images as appropriate for the intended use of hexacube die 50.
Hexagonal sides 120 are substantially flat and substantially hexagon shaped. As illustrated in
The term ‘incongruent sides’ refers to the fact that square sides 110 have different surface areas and/or shapes than hexagonal sides 120. Due to differences in surface area, shape, and edge length, square sides 110 have a different probability of landing face down (and thus the corresponding opposite side being face up) than hexagonal sides 120.
The term hexacube die′ as used in this document refers to a die that has both square and hexagonal sides. It should be noted that this invention does not contemplate only hexacube dice with square and hexagonal sides, as other shapes may be constructed according to the principles discussed, such as a chamfered octahedron which results in a die having twenty sides in the shape of triangles and hexagons.
To aid in determining fairness of a die, the hex to square ratio is calculated as the length of an edge that is shared by hexagonal sides 120 divided by the length of an edge of a square side 110. The Best Mode hexacube illustrated in
The shape of the die illustrated in
While various aspects and embodiments have been disclosed herein, other aspects and embodiments will be apparent to those skilled in the art. The various aspects and embodiments disclosed herein are for purposes of illustration and are not intended to be limiting, with the true scope and spirit being indicated by the following claims. Other embodiments may be utilized, and other changes may be made, without departing from the spirit or scope of the subject matter presented herein, for example, die body 100 can have a different shape, or a different number of outcomes may be assigned to the dice shapes previously described, such as the four outcomes for a hexacube die shown in
Claims
1. A gaming die comprising: a fourth side having the first outcome; where the shape of at least one of the first, second, or third sides is different from the shape of at least one of the first, second, or third sides.
- a die body;
- a first side having a first outcome;
- a second side having a second outcome;
- a third side having a third outcome;
2. The gaming die of claim one wherein the die body has the shape of a truncated tetrahedron.
3. The gaming die of claim two wherein the die body has the shape of a tetratruncated rhombic dodecahedron.
Type: Application
Filed: Feb 22, 2019
Publication Date: Sep 19, 2019
Inventor: James Kelly (Chicago, IL)
Application Number: 16/283,408