This page contains the first discovered set of permutation-fair 5d60 configurations of Go First Dice. After developing an improved search algorithm, many millions more have been discovered since. Die-wise permutations and trivial substitutions (e.g. “abba” → “baab”) are pruned for conciseness.
Note that all solutions thus far have been found by constructing an “induced” 5th die around a fair 4d60. The induced die is represented by 'e' in the following solutions.
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abcddcbacbaddabcedbaccabdeeeeeeeeeeeeabcddcbaecbaddabcdbaccabdedbaccabdcbaddabceabcddcbaeedbaccabdcbaddabcdbaccabdeabcddcbaeeeeeabcddcbaecbaddabceeeeeeeeeeabcddcbaecbaddabceeeeecbaddabcedbaccabdabcddcbadbaccabdeecbaddabceabcddcbadbaccabdedbaccabdabcddcbaecbaddabceeeeeeeeeeeedbaccabdeabcddcbacbaddabc
abcddcbacbaddabcedbaccabdeeeeeeeeeeeecbaddabceabcddcbadbaccabdedbaccabdabcddcbaecbaddabceedbaccabdcbaddabcdbaccabdeabcddcbaeeeeeabcddcbaecbaddabceeeeeeeeeeabcddcbaecbaddabceeeeecbaddabcedbaccabdabcddcbadbaccabdeeabcddcbaecbaddabcdbaccabdedbaccabdcbaddabceabcddcbaeeeeeeeeeeeedbaccabdeabcddcbacbaddabc
abcddcbacbaddabceedbaccabdeeeeeeeeeedbaccabdeabcddcbaeecbaddabcdbaccabdabcddcbaecbaddabcecbaddabcdbaccabdeeecbaddabceeabcddcbadbaccabdabcddcbaeeeeeeeeeeeeeeeeabcddcbacbaddabcabcddcbaeedbaccabdeeecbaddabcdbaccabdedbaccabdeabcddcbacbaddabcdbaccabdeeabcddcbaecbaddabceeeeeeeeeecbaddabceedbaccabdabcddcba
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Some of these configurations were found using the high performance computing cluster at the Alabama Supercompter Authority (this work was made possible in part by a grant of high performance computing resources and technical support from the Alabama Supercomputer Authority).
