Dice game apparatus and methods for using same

• US 20040041342A1
• Filed: 08/30/2002
• Published: 03/04/2004
• Est. Priority Date: 08/30/2002
• Status: Active Grant

• Current Assignee: Shlomo Ruvane Frieman
• Original Assignee: Shlomo Ruvane Frieman
• Inventors: Frieman, Shlomo Ruvane
• Granted Patent: US 6,786,485 B2
• Time in Patent Office: Days
• US Class Current: 273/146
• CPC Class Codes: A63F 2009/0431 eight-sided
• CPC Class Codes: A63F 2009/0435 ten-sided
• CPC Class Codes: A63F 9/0415 Details of dice, e.g. non-cuboid dice

Abstract

A dice game apparatus comprises a first numerical die, a second numerical die, and at least one operator die selected from the group consisting of a first operator die and a second operator die. While the dice game apparatus comprises the first operator die and/or the second operator die, the dice games are played with just three dice, namely, the first numerical die, the second numerical die, and either the first operator die or the second operator die.

Claims

1. A dice game apparatus comprising a first N₁-faced numerical die, where

(a) N₁ is an even whole number selected from the group consisting of 8 and 10;

(b) each of the N₁ faces of the first numerical die is substantially circular;

(c) each of the N₁ faces of the first numerical die has substantially the same surface area;

(d) the N₁-faced first numerical die has N₁/2 pairs of opposing faces, with each of the N₁/2 pairs of opposing faces of the first numerical die lying in a pair of substantially parallel planes; and

(e) each face of the first numerical die bears a different first indicia of numerical value from 0 to N₁, provided that if 0 appears on any face of the first numerical die, the highest indicia of numerical value on any face of the first numerical die is N₁−

1.

2. The dice game apparatus of claim 1 further comprising a second N₂-faced numerical die, where

(f) N₂ is an even whole number selected from the group consisting of 8 and 10;

(g) each of the N₂ faces of the second numerical die is substantially circular;

(h) each of the N₂ faces of the second numerical die has substantially the same surface area;

(i) the N₂-faced second numerical die has N₂/2 pairs of opposing faces, with each of the N₂/2 pairs of opposing faces of the second numerical die lying in a pair of substantially parallel planes; and

(j) each face of the second numerical die bears a different second indicia of numerical value from 0 to N₂, provided that if 0 appears on any face of the second numerical die, the highest indicia of numerical value on any face of the second numerical die is N₂−

1.

3. The dice game apparatus of claim 2 further comprising a first N₃-faced operator die, where

(k) N₃ is an even whole number selected from the group consisting of 8 and 10;

(l) each of the N₃ faces of the first operator die is substantially circular;

(m) each of the N₃ faces of the first operator die has substantially the same surface area;

(n) the N₃-faced first operator die has N₃/2 pairs of opposing faces, with each of the N₃/2 pairs of opposing faces of the first operator die lying in a pair of substantially parallel planes;

(o) X₁ faces of the first operator die bear a third indicia representing the mathematical operation of addition, with X₁ being a whole number from 1 to 2/3N₃;

(p) Y₁ faces of the first operator die bear a fourth indicia representing the mathematical operation of subtraction, with Y₁ being a whole number from 1 to 2/3N₃;

(q) Z₁ faces of the first operator die bear a fifth indicia representing a mathematical operation to be chosen by a player, the mathematical operation being selected from the group consisting of addition, subtraction, multiplication, and division, with Z₁ being a whole number from 0 to N₃/3; and

X₁+Y₁+Z₁=N₃.  

 

(r)

4. The dice game apparatus of claim 2 further comprising a second N₄-faced operator die, where

(k) N₄ is an even whole number selected from the group consisting of 8 and 10;

(l) each of the N₄ faces of the second operator die is substantially circular;

(m) each of the N₄ faces of the second operator die has substantially the same surface area;

(n) the N₄-faced second operator die has N₄/2 pairs of opposing faces, with each of the N₄/2 pairs of opposing faces of the second operator die lying in a pair of substantially parallel planes;

(o) X₂ faces of the second operator die bear a sixth indicia representing the mathematical operation of addition, with X₂ being a whole number from 1 to N₄/2;

(p) Y₂ faces of the second operator die bear a seventh indicia representing the mathematical operation of subtraction, with Y₂ being a whole number from 1 to N₄/2;

(q) Z₂ faces of the second operator die bear an eighth indicia representing the mathematical operation of multiplication, with Z₂ being a whole number from 1 to N₄/2;

(r) A₂ faces of the first operator die bear a ninth indicia representing a mathematical operation to be chosen by a player, the mathematical operation being selected from the group consisting of addition, subtraction, multiplication, and division, with A₂ being a whole number from 0 to N₄/4; and

X₂+Y₂+Z₂+A₂=N₄.  

 

(s)

5. The dice game apparatus of claim 2 further comprising a first N₃-faced operator die and a second N₄-faced operator die, where

(k) N₃ and N₄ are each an even whole number selected from the group consisting of 8 and 10;

(l) each of the N₃ faces of the first operator die and each of the N₄ faces of the second operator die is substantially circular;

(m) each of the N₃ faces of the first operator die and each of the N₄ faces of the second operator die has substantially the same surface area;

(n) the N₃-faced first operator die has N₃/2 pairs of opposing faces, with each of the N₃/2 pairs of opposing faces of the first operator die lying in a pair of substantially parallel planes;

(o) X₁ faces of the first operator die bear a third indicia representing the mathematical operation of addition, with X₁ being a whole number from 1 to 2/3N₃;

(p) Y₁ faces of the first operator die bear a fourth indicia representing the mathematical operation of subtraction, with Y₁ being a whole number from 1 to 2/3N₃;

(q) Z₁ faces of the first operator die bear a fifth indicia representing a mathematical operation to be chosen by a player, the mathematical operation being selected from the group consisting of addition, subtraction, multiplication, and division, with Z₁ being a whole number from 0 to N₃/3;

X₁+Y₁+Z₁=N₃;

 

 

(r)

(s) the N₄-faced second operator die has N₄/2 pairs of opposing faces, with each of the N₄/2 pairs of opposing faces of the second operator die lying in a pair of substantially parallel planes;

(t) X₂ faces of the second operator die bear a sixth indicia representing the mathematical operation of addition, with X₂ being a whole number from 1 to N₄/2;

(u) Y₂ faces of the second operator die bear a seventh indicia representing the mathematical operation of subtraction, with Y₂ being a whole number from 1 to N₄/2;

(v) Z₂ faces of the second operator die bear an eighth indicia representing the mathematical operation of multiplication, with Z₂ being a whole number from 1 to N₄/2;

(w) A₂ faces of the second operator die bear a ninth indicia representing a mathematical operation to be chosen by a player, the mathematical operation being selected from the group consisting of addition, subtraction, multiplication, and division, with A₂ being a whole number from 0 to N₄/4; and

X₂+Y₂+Z₂+A₂=N₄.  

 

(x)

6. The dice game apparatus of claim 5 where each of the N₁ faces of the first numerical die, each of the N₂ faces of the second numerical die, each of the N₃ faces of the first operator die, and each of the N₄ faces of the second operator die has substantially the same surface area.

7. The dice game apparatus of claim 6 where N₁=N₂=N₃=N₄=8.

8. The dice game apparatus of claim 6 where N₁=N₂=N₃=N₄=10.

9. A dice game apparatus comprising at least one set consisting essentially of:

(a) a first numerical die;

(b) a second numerical die; and

(c) at least one operator die selected from the group consisting of a first operator die and a second operator die,

where

(i) the first numerical die has at least N₁ faces, with N₁ being a whole, even number from 6 to 20;

(ii) the N₁-faced first numerical die has N₁/2 pairs of opposing faces, with each of the N₁/2 pairs of opposing faces of the first numerical die lying in a pair of substantially parallel planes;

(iii) each face of the first numerical die bears a different first indicia of numerical value from 0 to N₁, provided that if 0 appears on any face of the first numerical die, the highest first indicia of numerical value on any face of the first numerical die is N₁−

1;

(iv) the second numerical die has at least N₂ faces, with N₂ being a whole, even number from 6 to 20;

(v) the N₂-faced second numerical die has N₂/2 pairs of opposing faces, with each of the N₂/2 pairs of opposing faces of the second numerical die lying in a pair of substantially parallel planes;

(vi) each face of the second numerical die bears a different second indicia of numerical value from 0 to N₂, provided that if 0 appears on any face of the second numerical die, the highest second indicia of numerical value on any face of the second numeric die is N₂−

1;

(vii) the first operator die has at least N₃ faces, with N₃ being a whole, even number from 6 to 20;

(viii) the N₃-faced first operator die has N₃/2 pairs of opposing faces, with each of the N₃/2 pairs of opposing faces of the first operator die lying in a pair of substantially parallel planes;

(ix) the first operator die bears a third indicia representing the mathematical operation of addition on X₁ of the faces of the first operator die, where X₁ is a whole number from 1 to 2/3N₃;

(x) the first operator die bears a fourth indicia representing the mathematical operation of subtraction on Y₁ of the faces of the first operator die, where Y₁ is a whole number from 1 to 2/3N₃;

(xi) the first operator bears a fifth indicia representing a mathematical operation to be chosen by a player, the mathematical operation being selected from the group consisting of addition, subtraction, multiplication, and division on Z₁ of the faces of the first operator die, where Z₁ is a whole number from 0 to 1/3N₃;

X₁+Y₁+Z₁=N₃;

 

 

(xii)

(xiii) the second operator die has at least N₄ faces, with N₄ being a whole, even number from 6 to 20;

(xiv) the N₄-faced second operator die has N₄/2 pairs of opposing faces, with each of the N4/2 pairs of opposing faces of the second operator die lying in a pair of substantially parallel planes;

(xv) the second operator die bears sixth indicia representing the mathematical operation of addition on X₂ of the faces of the second operator die, where X₂ is a whole number from 1 to 1/2N₄;

(xvi) the second operator die bears a seventh indicia representing the mathematical operation of subtraction on Y₂ of the faces of the second operator die, where Y₂ is a whole number from 1 to 1/2N₄;

(xvii) the second operator die bears an eighth indicia representing the mathematical operation of multiplication on Z₂ of the faces of the second operator die, where Z₂ is a whole number from 1 to 1/2N₄;

(xviii) the second operator bears a ninth indicia representing a mathematical operation to be chosen by a player, the mathematical operation being selected from the group consisting of addition, subtraction, multiplication, and division on A₂ of the faces of the second operator die, where A₂ is a whole number from 0 to 1/4N₄;

X₂+Y₂+Z₂+A₂=N₄.  

 

(xix)

10. The dice game apparatus of claim 9 where

each of the faces of the first numerical die has substantially the same surface area;

each of the faces of the second numerical die has substantially the same surface area;

each of the faces of the first operator die has substantially the same surface area;

each of the faces of the second operator die has substantially the same surface area.

11. The dice game apparatus of claim 9 comprising the first operator die and the second operator die.

12. The dice game apparatus of claim 9 where N₁=N₂=N₃=N₄.

13. The dice game apparatus of claim 12 where each of the faces of the first numerical die, each of the faces of the second numerical die, each of the faces of the first operator die, and each of the faces of the second operator die has substantially the same surface area.

14. The dice game apparatus of claim 9 comprising the first operator die and the second operator die, where N₁=N₂=N₃=N₄.

15. The dice game apparatus of claim 9 where

the first numerical die is a hexahedron;

each face of the first numerical die bears a different first indicia of numerical value from 0 to 6, provided that if 0 appears on any face of the first numerical die, the highest indicia of numerical value of any face of the first numerical die is 5;

the second numerical die is a hexahedron;

each face of the second numerical die bears a different second indicia of numerical value from 0 to 6, provided that if 0 appears on any face of the second numerical die, the highest indicia of numerical value of any face of the second numeric die is 5;

the first operator die is a hexahedron;

the first operator die bears a third indicia representing the mathematical operation of addition on X₁ of the faces of the first operator die, where X₁ is a whole number from 1 to 4;

the first operator die bears a fourth indicia representing the mathematical operation of subtraction on Y₁ of the faces of the first operator die, where Y₁ is a whole number from 1 to 4;

the first operator bears a fifth indicia representing a mathematical operation to be chosen by a player, the mathematical operation being selected from the group consisting of addition, subtraction, multiplication, and division on Z₁ of the faces of the first operator die, where Z₁ is a whole number from 0 to 2;

X₁+Y₁+Z₁=6;

the second operator die is a hexahedron;

the second operator die bears a sixth indicia representing the mathematical operation of addition on X₂ of the faces of the second operator die, where X₂ is a whole number from 1 to 3;

the second operator die bears a seventh indicia representing the mathematical operation of subtraction on Y₂ of the faces of the second operator die, where Y₂ is a whole number from 1 to 3;

the second operator die bears an eighth indicia representing the mathematical operation of multiplication on Z₂ of the faces of the second operator die, where Z₂ is a whole number from 1 to 3;

the second operator bears a ninth indicia representing a mathematical operation to be chosen by a player, the mathematical operation being selected from the group consisting of addition, subtraction, multiplication, and division on A₂ of the faces of the second operator die, where A₂ is a whole number from 0 to 1;

X₂+Y₂+Z₂+A₂=6.

16. The dice game apparatus of claim 9 where

the first numerical die is a dodecahedron;

each face of the first numerical die bears a different first indicia of numerical value from 0 to 12, provided that if 0 appears on any face of the first numerical die, the highest first indicia of numerical value on any face of the first numerical die is 11;

the second numerical die is a dodecahedron;

each face of the second numerical die bears a different second indicia of numerical value from 0 to 12, provided that if 0 appears on any face of the second numerical die, the highest second indicia of numerical value on any face of the second numeric die is 11;

the first operator die is a dodecahedron;

the first operator die bears a third indicia representing the mathematical operation of addition on X₁ of the faces of the first operator die, where X₁ is a whole number from 1 to 8;

the first operator die bears a fourth indicia representing the mathematical operation of subtraction on Y₁ of the faces of the first operator die, where Y₁ is a whole number from 1 to 8;

the first operator bears a fifth indicia representing a mathematical operation to be chosen by a player, the mathematical operation being selected from the group consisting of addition, subtraction, multiplication, and division on Z₁ of the faces of the first operator die, where Z₁ is a whole number from 0 to 4;

X₁+Y₁+Z₁=12;

the second operator die is a dodecahedron;

the second operator die bears a sixth indicia representing the mathematical operation of addition on X₂ of the faces of the second operator die, where X₂ is a whole number from 1 to 6;

the second operator die bears a seventh indicia representing the mathematical operation of subtraction on Y₂ of the faces of the second operator die, where Y₂ is a whole number from 1 to 6;

the second operator die bears an eighth indicia representing the mathematical operation of multiplication on Z₂ of the faces of the second operator die, where Z₂ is a whole number from 1 to 6;

the second operator bears a ninth indicia representing a mathematical operation to be chosen by a player, the mathematical operation being selected from the group consisting of addition, subtraction, multiplication, and division on A₂ of the faces of the second operator die, where A₂ is a whole number from 0 to 4;

X₂+Y₂+Z₂+A₂=12.

17. A method for playing dice comprising the steps of:

(a) rolling a first numerical die;

(b) rolling a second numerical die;

(c) rolling an operator die; and

(d) solving the mathematical problem posed by the uppermost indicia on the first numerical die, the second numerical die, and the operator die,

where

(i) the operator die is selected from the group consisting of a first operator die and a second operator die,

(ii) the first numerical die has at least N₁ faces, with N₁ being a whole, even number from 6 to 20;

(iii) the N₁-faced first numerical die has N₁/2 pairs of opposing faces, with each of the N₁/2 pairs of opposing faces of the first numerical die lying in a pair of substantially parallel planes;

(iv) each face of the first numerical die bears a different first indicia of numerical value from 0 to N₁, provided that if 0 appears on any face of the first numerical die, the highest first indicia of numerical value on any face of the first numerical die is N₁−

1;

(v) the second numerical die has at least N₂ faces, with N₂ being a whole, even number from 6 to 20;

(vi) the N₂-faced second numerical die has N₂/2 pairs of opposing faces, with each of the N₂/2 pairs of opposing faces of the second numerical die lying in a pair of substantially parallel planes;

(vii) each face of the second numerical die bears a different second indicia of numerical value from 0 to N₂, provided that if 0 appears on any face of the second numerical die, the highest second indicia of numerical value on any face of the second numeric die is N₂−

1;

(viii) the first operator die has at least N₃ faces, with N₃ being a whole, even number from 6 to 20;

(ix) the N₃-faced first operator die has N₃/2 pairs of opposing faces, with each of the N₃/2 pairs of opposing faces of the first operator die lying in a pair of substantially parallel planes;

(x) the first operator die bears a third indicia representing the mathematical operation of addition on X₁ of the faces of the first operator die, where X₁ is a whole number from 1 to 2/3N₃;

(xi) the first operator die bears a fourth indicia representing the mathematical operation of subtraction on Y₁ of the faces of the first operator die, where Y₁ is a whole number from 1 to 2/3N₃;

(xii) the first operator bears a fifth indicia representing a mathematical operation to be chosen by a player, the mathematical operation being selected from the group consisting of addition, subtraction, multiplication, and division on Z₁ of the faces of the first operator die, where Z₁ is a whole number from 0 to 1/3N₃;

X₁+Y₁+Z₁=N₃;

 

 

(xiii)

(xiv) the second operator die has at least N₄ faces, with N₄ being a whole, even number from 6 to 20;

(xv) the N₄-faced second operator die has N₄/2 pairs of opposing faces, with each of the N₄/2 pairs of opposing faces of the second operator die lying in a pair of substantially parallel planes;

(xvi) the second operator die bears sixth indicia representing the mathematical operation of addition on X₂ of the faces of the second operator die, where X₂ is a whole number from 1 to 1/2N₄;

(xvii) the second operator die bears a seventh indicia representing the mathematical operation of subtraction on Y₂ of the faces of the second operator die, where Y₂ is a whole number from 1 to 1/2N₄;

(xviii) the second operator die bears an eighth indicia representing the mathematical operation of multiplication on Z₂ of the faces of the second operator die, where Z₂ is a whole number from 1 to 1/2N₄;

(xix) the second operator bears a ninth indicia representing a mathematical operation to be chosen by a player, the mathematical operation being selected from the group consisting of addition, subtraction, multiplication, and division on A₂ of the faces of the second operator die, where A₂ is a whole number from 0 to 1/4N₄; and

X₂+Y₂+Z₂+A₂=N₄.  

 

(xx)

18. The method of claim 17 where steps (a) through (c) are performed substantially simultaneously.

19. The method of claim 17 where steps (a) through (d) are performed a plurality of times.

20. The method of claim 17 where

steps (a) through (c) are performed substantially simultaneously and

steps (a) through (d) are performed a plurality of times.