## 8 Citations

### SICHERMAN DICE: EQUIVALENT SUMS WITH A PAIR OF DICE

- Mathematics
- 2012

George Sicherman discovered an interesting pair of dice whose sums have the same probability distribution as a pair of standard dice, and this was reported by Martin Gardner in 1978. This pair of…

### Extending Sicherman Dice to 100-cell Calculation Tables

- Computer Science
- 2016

The number of solutions N for an nxn=n^2-cell calculation table is N=(p-2)(p-1)+1, where p is the number of divisors of n.

### Are Stupid Dice Necessary?

- Philosophy
- 2013

Summary A pair of 6-sided dice cannot be relabeled to make the sums 2, 3, … 12 equally likely. It is possible to label seven, 10-sided dice so that the sums 7, 8, …, 70 occur equally often. We…

### Dungeons, dragons and dice

- ArtThe Mathematical Gazette
- 1990

My younger son has become interested in the game “dungeons and dragons”. He is intrigued by the shapes of the dice that are used to play the game and by the number of faces they have. Besides the…

### A primer on the use of probability generating functions in infectious disease modeling

- MathematicsInfectious Disease Modelling
- 2018

### Construction of Fair Dice Pairs

- MathematicsMathematics
- 2019

An interesting and challenging problem in mathematics is how to construct fair dice pairs. In this paper, by means of decomposing polynomials in a residue class ring and applying the Discrete Fourier…