US 20060097447 A1 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.
Claims(34) 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 3. The dice game of 4. The dice game of 5. The dice game of 6. The dice game of 7. The dice game of 8. The dice game of 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 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 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 13. The method of 14. The method of 15. The method of 16. The method of 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 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 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 21. The method of 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 24. The method of 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 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 28. The module of 29. The module of 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 32. The method of 33. The method of 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 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. Description The present invention relates generally to a dice game and more particularly to the use of octahedron die with a croupier type gaming table. Traditional craps (i.e., Bank Craps) is arguably the most popular game offered for play by a casino, in part because it offers players better odds of winning as compared to other games. In traditional craps, a pair of six-sided (i.e., hexahedral) dice are rolled on a croupier type gaming table. The surface of the table includes specific markings representing different results of the rolled dice. The player rolling the dice is known as the shooter. The shooter attempts to establish a point number on his first roll (i.e., the come out roll) and then match his point number (i.e., make his point) on subsequent rolls prior to rolling a seven (i.e., sevens out). Only the numbers 4, 5, 6, 8, 9, or 10 can be a point number. If the shooter rolls one of these numbers on the come out roll, he establishes the point. If the shooter makes his point, he retains the dice and a new game begins (i.e., his next immediate roll is a new come out roll that establishes a new point). If the shooter sevens out (i.e., fails to make his point), the dice are passed to a new shooter and a new game begins. Prior to a come out roll, a shooter must (and other players may) place a line bet (i.e., place a wager on the pass line and/or on the don't pass line). If the shooter rolls a 7 or 11 on the come out roll, wagers placed on the pass line win and wagers placed on the don't pass line lose. Rolling the numbers 2, 3, or 12 on the come out roll is know as rolling craps. If the shooter rolls a 2 or 3 on the come out roll, wagers placed on the pass line lose and wagers placed on the don't pass line win. As illustrated in
In traditional craps, a roll total of seven (7) is the plurality or miss out number (6 out of 36 or 16.6%). The spread between the odds of hitting the miss out number (i.e., rolling a 7) and either of its nearest roll total outcomes (i.e., rolling a 6 or 8) is 2.7778% (i.e., 16.6666%-13.8888%). This spread allows a casino to establish acceptable payoff odds (i.e., payoff odds are typically chosen such that the house has neither too much advantage so as to discourage play, nor too much of a disadvantage so as to lose money). For example, the casino may pay four dollars for every dollar bet (i.e., a 4-to-1 payoff) should a player match any roll that totals seven (7). Even though the chances of winning while playing traditional craps are greater than many other casino games, many players seek games that offer an even better chance of winning. Accordingly, a need exists for a game that offers better odds to the player than does traditional craps, yet maintains a sufficient advantage to the casino, and overcomes the limitations inherent in prior art. One aspect of the invention relates to 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 the bet lines corresponds to at least one of the first result and the second result, or a sum of the first result and the second result. Another aspect of the invention relates to 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 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 the 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, the second result, and the roll total. Another aspect of the invention relates to a method for modeling a roll of a pair of octahedron dice 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 the randomly sampled, uniformly distributed number, and providing the roll total associated with the selected range. Another aspect of the invention relates to a method for modeling a roll of a plurality of octahedron dice comprising determining a roll result for one octahedron die, wherein the 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 the one octahedron die, randomly sampling a uniformly distributed number between zero and one, selecting the range containing the sampled uniformly distributed number, and providing the roll result associated with the selected range, and repeating the determining for each of the remaining plurality of octahedron dice. Another aspect of the invention relates to 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. Another aspect of the invention relates to 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. To enable the present invention to be easily understood and readily practiced, the present invention will now be described for purposes of illustration and not limitation, in connection with the following figures wherein: The detailed description sets forth specific embodiments which are described in sufficient detail to enable those skilled in the art to practice the present invention. It should be apparent to those skilled in the art that other embodiments may be utilized, and that certain changes may be made, while remaining within the scope of the present invention. The following detailed description is, therefore, not to be taken in a limiting sense, and the scope of the invention is defined only by the appended claims. The octahedron die
In the current embodiment, a roll total of nine (9) is the plurality or miss out number (8 out of 64 or 12.5%). The spread between the odds of hitting the miss out number (i.e., 9) and either of its nearest roll total outcomes (i.e., 8 or 10) is 1.5625% (i.e., 12.5%-10.9375%). This spread allows the casino enough room to establish acceptable payoff odds (i.e., payoff odds which give the house enough advantage to make money, but not too much advantage so as to discourage play). In the current embodiment, the field line includes numbers The point boxes After a point is established, a player may make a place bet on one or more of the point boxes prior to a subsequent roll. For example, after the shooter establishes 8 as his point number as discussed above, the dealer sets the puck on the point box with the number After the shooter establishes his point, a player may make a come bet by placing a wager on the come line. If the shooter craps-out (i.e., rolls a 2, 3, or 16) on the next roll, the player loses his come bet; if the shooter rolls a 9 (i.e., nines-out) on the next roll, the player will win (typically the payoff is 1-to-1); and if the shooter makes his point or rolls one of the other numbers in the point boxes (i.e., rolls a 4, 5, 6, 7, 8, 10, 11, 12, 13, or 14), a come point is established and the player's come bet is moved from the come line to the point box corresponding to the number that the shooter rolled. Once the players come bet is moved to the point box it remains there unless the shooter rolls that number again (i.e., makes the come point) or rolls a 9 (i.e., nines-out). For example, assume that the shooter has established seven as the point (i.e., rolled a 7 on the come out roll). Prior to the next roll, assume further that a player makes a come bet by putting a wager on the come line. If the shooter craps-out on the next roll (i.e., rolls a 2, 3, or 16), the player loses the come bet. If the shooter rolls a 9 (i.e., nines-out) on the next roll, however, the player receives a 1-to-1 payoff. If the shooter rolls a 4, 5, 6, 7, 8, 10, 11, 12, 13, or 14 (i.e., establishes a come point), the player's come bet is moved from the come line to the appropriate point box. For example if the shooter rolls an 11, the player's come point is established as 11 and his wager is moved from the come line to the point box with the number Additionally, after the shooter establishes his point, a player may make a don't come bet by placing a wager on the don't come line. In the current embodiment, the don't come line includes Bar 16. Thus, if the shooter craps-out by rolling a 16, any wagers placed on the don't come line push (i.e., neither win nor lose). If the shooter craps-out by rolling a 2 or 3 on the next roll, the player wins his don't come bet; if the shooter rolls a 9 on the next roll, the player loses his don't come bet; and, if the shooter makes his point or rolls one of the other numbers in the point boxes (e.g., 4, 5, 6, 7, 8, 10, 11, 12, 13, or 14), a don't come point is established and the player's don't come bet is moved from the don't come line to the point box corresponding to the number that the shooter rolled. Once the player's don't come bet is moved to the point box, the player wins if the shooter rolls a 9 (i.e., nines-out) prior to rolling the don't come point. If the shooter matches the don't come point prior to rolling a 9, however, the player loses his don't come bet. In the current embodiment, the proposition bet lines A player placing a wager on the Any 4 box wins if the shooter rolls a 4 in any combination (i.e., 1-3, 2-2, or 3-1) on the next immediate roll. If the shooter rolls any other combination, the wager on the Any 4 is lost. A player placing a wager on one of the Horn Bet boxes, for example the horn box 3, wins if the shooter rolls a 3 in any combination (i.e., 1-2 or 2-1) on the next immediate roll. If the shooter rolls any other combination, the wager placed on the horn box 3 is lost. A player placing a wager on the Any 2, 3, 16 box wins if the shooter rolls a 2, 3, or 16 in any combination (i.e., 1-1, 1-2, 2-1, or 8-8) on the next immediate roll. If the shooter rolls any other combination, the wager on the Any 2, 3, 16 is lost. A player placing a wager on the Big 8 or Big 10 circle will win if the shooter rolls an 8 or a 10, respectively, in any combination (i.e., 1-7, 2-6, 3-5, 4-4, 5-3, 6-2, 7-1, 2-8, 3-7, 4-6, 5-5, 6-4, 7-3, 8-2) on the next immediate roll. It the shooter rolls any other combination, the wager on the Big 8 or Big 10 circle is lost. It should be apparent to those of ordinary skill in the art that other types of bets or wagers may be made while remaining within the scope of the present invention and that the specific wagers discussed above have been provided for exemplary purposes and are not intended to be limiting in any manner. Furthermore, it should be apparent to one skilled in the art that a dice game employing one or more octahedron die Method Operational control then passes to operation Operational control then passes to operation For example in the current embodiment, fifteen ranges are established (i.e., one or each possible roll total of the pair of octahedron dice The probability of rolling a 9 using a pair of octahedron dice Additionally, the uniformly distributed numbers that are greater than 0.125000 but less than and equal to 0.234375 are grouped in a range that correspond to the roll total 8. The number 0.234375 is derived by adding the probability of rolling an 8 (i.e., 0.109375, as seen in Table 2) to the probability of rolling a 9 (i.e., 0.125000 as seen in Table 2). Thus, if the randomly sampled number e is greater than 0.125000 but less than and equal to 0.234375, the roll total 8 is assigned by operation Additionally, the uniformly distributed numbers that are greater than 0.234375 but less than or equal to 0.343750 are grouped in a range that corresponds to the roll total 10. The number 0.343750 is derived by adding the probability of rolling a 10 (i.e., 0.109375, as seen in Table 2) to the cumulative sum of probabilities for the roll totals previously ranged (i.e., 0.234375; the sum of the probabilities of rolling a 9 and an 8). Thus, if the randomly sampled number e is greater than 0.234375 but less than or equal to 0.343750, the roll total 10 is assigned by operation Additionally, the uniformly distributed numbers that are greater than 0.343750 and less than or equal to 0.437500 are grouped in a range that corresponds to the roll total 7. The number 0.437500 is derived by adding the probability of rolling a 7 (i.e., 0.093750, as seen in Table 2) to the cumulative sum of probabilities for the roll totals previously ranged (i.e., 0343750, the sum of the probabilities of rolling a 9, an 8, and a 10). Thus, if the randomly sampled number e is greater than 0.343750 and less than or equal to 0.437500, the roll total 7 is assigned by operation It should be apparent to one skilled in the art that this pattern is repeated for each of the roll totals as illustrated in Table 3. Furthermore, it should be apparent to one skilled in art that the particular order in which the ranges are established may be altered while remaining within the scope of the present invention and that the particular order illustrated in Table 3 is for exemplary purposes and not meant to limit the present invention.
The current embodiment may be integrated into a computer program which, for example, can complete thousands of rolls in a short period of time on a computer system. The computer program may, for example, be used to verify the various odds occasioned by a dice game employing a pair of octahedron dice In an alternative embodiment, a roll between 1 and 8 (e.g., representing the roll of a single die from a pair of octahedron dice As mentioned above, the roll assigned in this alternative embodiment represents the roll for a single die of a pair of octahedron dice After the roll total is assigned in operation In addition to, or instead of, being displayed, the roll result may be used as input for other software or hardware modules. One or more of such software modules may, for example, contain a series of instructions corresponding to the dice game discussed above in conjunction with A graphical depiction of the gaming table In the current embodiment, lockable box In the current embodiment, the data storage unit, communication device, graphics card, etc. are responsive to the CPU. A computer program, for example, having a module encoding the rules for the dice game and for determining a roll total, may reside on the data storage unit or be read from a CD/DVD drive. The CPU is operable to receive input (for example, from keyboard A graphical depiction of the gaming table Client computer Server In the current embodiment, the client computer It should be recognized that the above-described embodiments of the invention are intended to be illustrative only. Numerous alternative embodiments may be devised by those skilled in the art without departing from the scope of the following claims. Referenced by
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