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--- significant_solutions [2023/09/24 18:26]
carl Add images of Flying Horseduck's 5d120 set
+++ significant_solutions [2024/02/20 11:13] (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".
+===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===
@@ Line 53: / Line 59: @@
 **''abcdeedcbadcbeebcdaaaaecbddbceecbddbceaaaadcbeebcdabcdeedcbaaadcbeebcdabcdeedcbaaecdbbdceaecdbbdceaabcdeedcbadcbeebcdaaaaaaecbddbceaabceddecbdcebbecdaadcebbecdbceddecbaaecbddbceaaaaaadcebbecdaecdbbdceaabcdeedcbabcdeedcbaaecdbbdceadcebbecdaaaecbddbceabceddecbaaaadcebbecddcebbecdaaaabceddecbaecbddbcea''**
-Discovered by Paul Meyer (on 31 July 2023). This set improves upon Michael Purcell's 5d120 set by reducing the number of sides in a five player homogeneous set.
+{{ :gofirstdice_5d60.png?400|}}Discovered by Paul Meyer (on 31 July 2023). This set improves upon Michael Purcell's 5d120 set by reducing the number of sides in a five player homogeneous set.  Image rendered by Carl Hoff.

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