Dice game

Abstract

A dice game comprises first and second octahedron dice producing first and second results, respectively, and a croupier-type gaming table having a plurality of bet lines, each of the bet lines corresponding to at least one of the first result and the second result, or a sum of the first and second results. A method of playing a dice game comprises placing a wager on at least one bet line of a croupier-type gaming table, rolling a pair or octahedron dice, wherein the first octahedron die provides a first result, the second octahedron die provides a second result, and the sum of the first result and second result represents a roll total, and determining if the wager wins, loses, or pushes in response to at least one of the first result, second result, and roll total. Because of the rules governing abstracts, this abstract should not be used to construe the claims.

1 . A dice game, comprising: 
 a first octahedron die for producing a first result;    a second octahedron die for producing a second result; and    a croupier-type gaming table having a plurality of bet lines, wherein each of said bet lines corresponds to at least one of said first result and said second result, or a sum of said first result and said second result.    
   
   
       2 . The dice game of  claim 1  wherein said first die and said second die each have eight faces, each face having identifying indicia thereon.  
   
   
       3 . The dice game of  claim 1  wherein said first die and said second die are identical, each die having eight faces, each face having thereon a unique numeral between one and eight.  
   
   
       4 . The dice game of  claim 1  wherein each of said first die and said second die are a regular, convex polyhedra comporting with Euler's equation.  
   
   
       5 . The dice game of  claim 1  wherein said plurality of bet lines includes at least one of a pass line, a don't pass line, a field line, a come line, a don't come line, a proposition bet line, and one or more point boxes.  
   
   
       6 . The dice game of  claim 1  wherein said first die, said second die, and said gaming table are implemented electronically.  
   
   
       7 . The dice game of  claim 6  wherein said electronic implementation is performed on one of a hand-held gaming device, a television-based game system, a stand-alone video machine, a personal computer, or an on-line network connection.  
   
   
       8 . The dice game of  claim 6  wherein electronic implementation of said first die and said second die includes a module operable to model a roll result for each of said first octahedron die and said second octahedron die, said module including instructions for: 
 establishing eight equally sized ranges between zero and one, wherein each range contains at least one uniformly distributed number and wherein each range is associated with one possible roll result for one of said octahedron die;    randomly sampling a uniformly distributed number between zero and one;    selecting the range containing said sampled uniformly distributed number;    providing said roll result associated with said selected range for said first octahedron die; and    repeating said randomly sampling, said selecting, and said providing for said second octahedron die.    
   
   
       9 . The dice game of  claim 6  wherein said electronic implementation of said first die and said second die includes a module operable to model a roll total for said first and second octahedron dice, said module including instructions for: 
 establishing a plurality of ranges, wherein each range contains at least one uniformly distributed number and wherein each range is associated with one of a plurality of possible roll totals;    randomly sampling a uniformly distributed number;    selecting the range containing said sampled uniformly distributed number; and    providing said roll total associated with said selected range.    
   
   
       10 . A method of playing a dice game, comprising: 
 placing a wager on at least one bet line of a croupier-type gaming table;    rolling a pair of octahedron dice, wherein the first octahedron die provides a first result, the second octahedron die provides a second result, and the sum of said first result and said second result represents a roll total; and    determining if said wager wins, loses, or pushes in response to at least one of the first result, the second result, and the roll total.    
   
   
       11 . The method of  claim 10  wherein said rolling a pair of octahedron dice comprises: 
 rolling a first die having eight faces numbered one through eight; and    rolling a second die having eight faces numbered one through eight, wherein said first die and second die are identical.    
   
   
       12 . The method of  claim 10  wherein said rolling a pair of octahedron dice comprises rolling a pair of dice which are regular, convex polyhedra comporting with Euler's equation.  
   
   
       13 . The method of  claim 10  wherein said placing a wager includes placing a wager on at least one of a pass line, a don't pass line, a field line, a come line, a don't come line, a proposition bet line, and one or more point boxes.  
   
   
       14 . The method of  claim 10  wherein said placing, rolling, and determining are performed electronically.  
   
   
       15 . The method of  claim 10  wherein said placing, rolling, and determining are performed electronically on one of a hand-held gaming device, a television-based game system, a stand-alone video machine, a personal computer, or an on-line network connection.  
   
   
       16 . The method of  claim 14  wherein said electronic performance of rolling a pair of octahedron dice includes: 
 establishing eight equally sized ranges between zero and one, wherein each range contains at least one uniformly distributed number and wherein each range is associated with one possible roll result for one of said octahedron die;    randomly sampling a uniformly distributed number between zero and one;    selecting the range containing said sampled uniformly distributed number;    providing said roll result associated with said selected range for said first octahedron die; and    repeating said randomly sampling, said selecting, and said providing for said second octahedron die.    
   
   
       17 . The method of  claim 14  wherein said electronic performance of rolling a pair of octahedron dice includes: 
 establishing a plurality of ranges, wherein each range contains at least one uniformly distributed number and wherein each range is associated with one of a plurality of possible roll totals;    randomly sampling a uniformly distributed number;    selecting the range containing said sampled uniformly distributed number; and    providing said roll total associated with said selected range.    
   
   
       18 . A method for modeling a roll of a pair of octahedron dice, said method comprising: 
 establishing a plurality of ranges, wherein each range contains at least one uniformly distributed number and wherein each range is associated with one of a plurality of possible roll totals;    randomly sampling a uniformly distributed number;    selecting the range containing said randomly sampled, uniformly distributed number; and    providing said roll total associated with said selected range.    
   
   
       19 . The method of  claim 18  wherein said establishing a plurality of ranges comprises: 
 determining the probability of rolling each of said plurality of possible roll totals, the sum of all of said probabilities being equal to one;    creating a plurality of ranges between zero and one, wherein the size of each of said plurality of ranges is dependent upon the probability of rolling its associated possible roll total and wherein none of said plurality of ranges overlap with another of said plurality of ranges.    
   
   
       20 . The method of  claim 19  wherein said randomly sampling a uniformly distributed number further comprises selecting a number between zero and one.  
   
   
       21 . The method of  claim 18  wherein said randomly sampling a uniformly distributed number comprises using a uniform random number generator.  
   
   
       22 . A method for modeling a roll of a plurality of octahedron dice, said method comprising: 
 determining a roll result for one octahedron die, wherein said determining comprises: 
 establishing eight equally sized ranges between zero and one, wherein each range contains at least one uniformly distributed number and wherein each range is associated with one possible roll result for said one octahedron die;  
 randomly sampling a uniformly distributed number between zero and one;  
 selecting the range containing said sampled uniformly distributed number; and  
 providing said roll result associated with said selected range;  
   repeating said determining for each of said remaining plurality of octahedron dice.    
   
   
       23 . The method of  claim 22  further comprising summing the roll result for each of said plurality of octahedron dice to obtain a roll total.  
   
   
       24 . The method of  claim 22  wherein said establishing eight equally sized ranges comprises: 
 creating a first range greater than or equal to zero but less than or equal to 0.125;    creating a second range greater than 0.125 but less than or equal to 0.250;    creating a third range greater than 0.250 but less than or equal to 0.375;    creating a fourth range greater than 0.375 but less than or equal to 0.500;    creating a fifth range greater than 0.500 but less than or equal to 0.625;    creating a sixth range greater than 0.625 but less than or equal to 0.750;    creating a seventh range greater than 0.750 but less than or equal to 0.875; and    creating a eighth range greater than 0.875 but less than or equal to 1.000.    
   
   
       25 . The method of  claim 22  wherein said randomly sampling a uniformly distributed number between zero and one comprises using a uniform random number generator.  
   
   
       26 . A module containing an ordered set of instructions that when executed perform a method of playing a dice game, said method comprising: 
 receiving wager information;    electronically providing at least one of a first result for a roll of a first octahedron die, a second result for a roll of a second octahedron die, and a roll total, said roll total equaling the sum of said first result and said second result; and    determining if the wager wins, loses, or pushes in response to at least one of the first result, the second result, and the roll total.    
   
   
       27 . The module of  claim 26  wherein said method further comprises maintaining a tally of wins, losses, and pushes.  
   
   
       28 . The module of  claim 26  wherein said method further comprises crediting and debiting an account in response to said determining step.  
   
   
       29 . The module of  claim 26  wherein said method further comprises dispensing cash or tokens in response to said determining step.  
   
   
       30 . A method of playing a dice game in an electronic format, comprising: 
 inputting wager information;    receiving the results of an electronic simulation of a roll of a pair of octahedron dice, wherein said results include at least one of a first result for the roll of the first octahedron die, a second result for the roll of the second octahedron die, and a roll total, said roll total equaling the sum of said first result and said second result; and    receiving a determination as to whether said wager wins, loses, or pushes in response to at least one of the first result, the second result, and the roll total.    
   
   
       31 . The method of  claim 30  wherein said method further comprises receiving a tally of wins, losses, and pushes.  
   
   
       32 . The method of  claim 30  wherein said method further comprises crediting and debiting an account in response to said receiving a determination step.  
   
   
       33 . The method of  claim 30  wherein said receiving the results of an electronic simulation of a roll of a pair of octahedron dice comprises receiving the results of a module executing a set of instructions for: 
 establishing a plurality of ranges, wherein each range contains at least one uniformly distributed number and wherein each range is associated with one of a plurality of possible roll totals;    randomly sampling a uniformly distributed number;    selecting the range containing said sampled uniformly distributed number; and    providing the roll total associated with said selected range.    
   
   
       34 . The method of  claim 30  wherein said receiving the results of an electronic simulation of a roll of a pair of octahedron dice comprises receiving the results of a module executing a set of instructions for: 
 establishing eight equally sized ranges between zero and one, wherein each range contains at least one uniformly distributed number and wherein each range is associated with one possible roll result for one of said octahedron die;    randomly sampling a uniformly distributed number between zero and one;    selecting the range containing said sampled uniformly distributed number;    providing the roll result associated with said selected range for the first octahedron die; and    repeating said randomly sampling, said selecting, and said providing for the second octahedron die.