60-Sided and 120-Sided Replacement Dice

Abstract

Certain embodiments of 60-sided and 120-sided replacement dice each having a probability distribution equivalent to that of a subject die with fewer faces than the corresponding replacement die such that each replacement die can be used in place of the corresponding subject die.

I claim: 
     
         1 . A method for creating a replacement die that can take the place of a subject die comprising:
 a. selecting said replacement die from the group consisting of 60-sided dice and 120-sided dice such that said replacement die has more faces than said subject die,   b. marking said replacement die such that each possible outcome of said subject die is indicated on said replacement die and has the same probability in the probability distribution of said replacement die as it has in the probability distribution of said subject die,   
       whereby said replacement die can be used in place of said subject die. 
     
     
         2 . The method from  claim 1  which further includes marking said replacement die with a predetermined number of markings that direct a user to reroll said replacement die. 
     
     
         3 . The method from  claim 1  which further includes marking said replacement die with a predetermined number of markings that assist a user in more easily differentiating said replacement die from other similar dice. 
     
     
         4 . The method from  claim 1  wherein said subject die is a 4-sided die. 
     
     
         5 . The method from  claim 1  wherein said subject die is a 6-sided die. 
     
     
         6 . The method from  claim 1  wherein said subject die is an 8-sided die. 
     
     
         7 . The method from  claim 1  wherein said subject die is a 10-sided die. 
     
     
         8 . The method from  claim 1  wherein said subject die is a 12-sided die. 
     
     
         9 . The method from  claim 1  wherein said subject die is a 20-sided die. 
     
     
         10 . The method from  claim 1  wherein said subject die is a 100-sided die. 
     
     
         11 . A replacement die that replicates the probability distribution of a subject die that has fewer faces than said replacement die comprising:
 a. a replacement die selected from the group consisting of 60-sided dice and 120-sided dice,   b. a plurality of faces on said replacement die with means to indicate an outcome such that said replacement die has the same probability distribution of outcomes as said subject die,   
       whereby said replacement die can be used in place of said subject die. 
     
     
         12 . The replacement die of  claim 11  wherein a predetermined number of faces on said replacement die have means to direct a user to reroll said replacement die. 
     
     
         13 . The replacement die of  claim 11  wherein said replacement die has means to assist a user in more easily differentiating said replacement die from other similar dice. 
     
     
         14 . The replacement die of  claim 11  wherein said subject die is a 4-sided die. 
     
     
         15 . The replacement die of  claim 11  wherein said subject die is a 6-sided die. 
     
     
         16 . The replacement die of  claim 11  wherein said subject die is an 8-sided die. 
     
     
         17 . The replacement die of  claim 11  wherein said subject die is a 10-sided die. 
     
     
         18 . The replacement die of  claim 11  wherein said subject die is a 12-sided die. 
     
     
         19 . The replacement die of  claim 11  wherein said subject die is a 20-sided die. 
     
     
         20 . The replacement die of  claim 11  wherein said subject die is a 100-sided die.