User Tools

Site Tools


significant_solutions

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
significant_solutions [2023/09/24 14:41]
carl Added rendering of Paul Meyer's 5d60 set.
significant_solutions [2024/02/20 06:13] (current)
jamesgrime
Line 27: Line 27:
  
 Discovered by James Grime and Brian Pollock (on 29 November 2015). This set of five 60-sided dice is "place fair" but not "permutation fair" (though it is tantalizingly close to exhibiting that stronger fairness). It was constructed using an original technique that Grime and Pollock call "binary construction". Discovered by James Grime and Brian Pollock (on 29 November 2015). This set of five 60-sided dice is "place fair" but not "permutation fair" (though it is tantalizingly close to exhibiting that stronger fairness). It was constructed using an original technique that Grime and Pollock call "binary construction".
 +
 +===5d30 (place-fair)===
 +**''dbeaceacbdcabdedcbeaacdbeebcadedbacabcedacedbbdecacebdadbaecedacbdcaebbadcedecbabcaedacebdeadbccdebabadceaedbcbcaedcbedaedabcaecdbdcbeabdceacadbeeabdc''**
 +
 +Discovered by Brandon Enright (2012). This set of five 30-sided dice is "place fair". This shows that we cannot prove that a set of 5d30 permutation-fair dice is impossible via Go-First-fairness or place-fairness.
 +
  
 ===d20+d36+2d48+d54=== ===d20+d36+2d48+d54===
significant_solutions.txt ยท Last modified: 2024/02/20 06:13 by jamesgrime