Differences

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--- significant_solutions [2023/08/01 15:26]
harshec
+++ 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 37: / Line 43: @@
 **''eeacbddbcabcdaadcbdcabbacdeeeeeeeedcabbacdbcdaadcbacbddbcaeeeedcbaabcdbcaddacbacdbbdcaeeeeeeeeacdbbdcabcaddacbdcbaabcdeeaaecbddbcebcdeedcbdcebbecdaaaaaaaadcebbecdbcdeedcbecbddbceaaaadcbeebcdbceddecbecdbbdceaaaaaaaaecdbbdcebceddecbdcbeebcdaaddecabbaceacbeebcabceaaecbddddddddbceaaecbacbeebcaecabbaceddddbcaeeacbacebbecaecbaabceddddddddecbaabceacebbecabcaeeacbddbbecaddaceacdeedcadceaaecdbbbbbbbbdceaaecdacdeedcaecaddacebbbbdcaeeacdaceddecaecdaadcebbbbbbbbecdaadceaceddecadcaeeacdbbccaedbbdeadebaabedbeaddaebccccccccbeaddaebdebaabedaedbbdeaccccbedaadebdeabbaedaebddbeaccccccccaebddbeadeabbaedbedaadebcc''**
-Discovered by Mike Purcell (on 12 December 2022). This set lowered the size of a 5-player homogeneous set to 120 sides. It can be physically produced as there is [[https://en.wikipedia.org/wiki/Disdyakis_triacontahedron|an isohedral 120-sided geometric solid]].
+Discovered by Mike Purcell (on 12 December 2022). This set lowered the size of a 5-player homogeneous set to 120 sides. It can be physically produced as there is [[https://en.wikipedia.org/wiki/Disdyakis_triacontahedron|an isohedral 120-sided geometric solid]]. This set was produced by [[https://flyinghorseduck.com/|Flying Horseduck]] in a very limited run.
+{{:flyinghorseduck_5d120.png?400|}}{{::flyinghorseduck_5d120wcase.png?400|}}
-{{  wiki:bram-set.jpg?200}}
 ===d20+4d36===
 **''ecbdaadbcabcddcbadbaccabdeeeeedbaccabdcbdaadbcabcddcbaeabcddcbadbaccabdcbdaadbceeeeeeabcddcbadbaccabdcbdaadbcedbaccabdcbdaadbcabcddcbaeeeeecbdaadbcabcddcbadbaccabde''**
+{{  wiki:bram-set.jpg?200}}
 Discovered by Bram Cohen (on 26 December 2022). This set currently holds the records for the 'fewest total sides" and the "smallest largest die" in the set.
@@ Line 49: / Line 59: @@
 **''abcdeedcbadcbeebcdaaaaecbddbceecbddbceaaaadcbeebcdabcdeedcbaaadcbeebcdabcdeedcbaaecdbbdceaecdbbdceaabcdeedcbadcbeebcdaaaaaaecbddbceaabceddecbdcebbecdaadcebbecdbceddecbaaecbddbceaaaaaadcebbecdaecdbbdceaabcdeedcbabcdeedcbaaecdbbdceadcebbecdaaaecbddbceabceddecbaaaadcebbecddcebbecdaaaabceddecbaecbddbcea''**
-Discovered by Paul Meyer (and demonstrated on 1 August 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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