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This page contains all of the unique permutation-fair 5d60 configurations of Go First Dice that have been discovered so far. 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 4d30. The induced die is represented by 'e' in the following solutions.
abcddcbacbaddabceeeeedbaccabdeeeeeedbaccabdeabdccdbaecbdaadbccbdaadbcedbcaacbdeeabcddcbadbcaacbdeeeecbdaadbcabdccdbaeeeeeecbdaadbcdbcaacbdeeeeabcddcbaabcddcbaeeeecbaddabcdbaccabdeeeeeeabdccdbadbaccabdeeeecbaddabcabcddcbaeecbaddabcedbaccabddbaccabdeabdccdbaecbdaadbceeeeeecbdaadbceeeeedbcaacbdabcddcba
abcddcbacbaddabceeeeeedbaccabdeeeedbaccabdeeabdccdbacbdaadbceecbdaadbcdbcaacbdeabcddcbaedbcaacbdeeeecbdaadbceeabdccdbaeeeecbdaadbcdbcaacbdeeeabcddcbaeeabcddcbaeeecbaddabcdbaccabdeeeeabdccdbaeedbaccabdeeeecbaddabceabcddcbaecbaddabcdbaccabdeedbaccabdabdccdbaeecbdaadbceeeecbdaadbceeeeeedbcaacbdabcddcba
abcddcbaecbaddabcedbaccabdeeeeeeeeeedbaccabdabdccdbaecbdaadbceecbaddabcabcddcbaedbcaacbdeecbdaadbceedbcaacbdabcddcbadbaccabdeeeabdccdbacbdaadbceeeeeeeeeeeeeecbdaadbcdbcaacbdeeeabcddcbadbaccabdabdccdbaeecbdaadbceeabdccdbaedbaccabdcbaddabceecbdaadbcedbcaacbdabcddcbaeeeeeeeeeeabcddcbaecbaddabcedbaccabd
abcddcbaecbaddabceeeedbaccabdeeeabcddcbaeeeecbaddabcdbaccabdeeeecbdaadbcdbcaacbdabcddcbaeeedbaccabdabdccdbacbdaadbceedbcaacbdecbdaadbceeeeeeeeabdccdbadbcaacbdeeeeeeeecbdaadbceabdccdbaeecbdaadbcdbcaacbdabcddcbaeeedbaccabdabdccdbacbdaadbceeeeabcddcbacbaddabceeeedbaccabdeeeabcddcbaeeeecbaddabcedbaccabd
abcddcbaecbaddabceeeeedbaccabdedbcaacbdeeeecbdaadbceeabdccdbaeeedbcaacbdcbdaadbceabdccdbacbaddabceabcddcbadbcaacbdeeeeeeabdccdbaeedbaccabdeecbaddabceeeedbcaacbdeecbdaadbceeabdccdbaeeeeeecbaddabcabcddcbaedbcaacbdabdccdbaedbaccabdcbaddabceeeabdccdbaeedbaccabdeeeecbaddabcecbdaadbceeeeedbcaacbdeabcddcba
abcddcbaecbaddabceeeeeedbaccabddbaccabdeeeeabdccdbaecbdaadbceeecbdaadbcdbcaacbdeabcddcbadbcaacbdeeeecbdaadbceeeabdccdbacbdaadbceeedbcaacbdeeeeabcddcbaabcddcbaeeeecbaddabceeedbaccabdabdccdbaeeedbaccabdeeeecbaddabcabcddcbaecbaddabcdbaccabdeeedbaccabdeabdccdbaeeeecbdaadbccbdaadbceeeeeedbcaacbdeabcddcba
abcddcbaecbaddabceeeeeedbaccabdeedbcaacbdecbdaadbceeeabdccdbacbdaadbcdbcaacbdabcddcbadbaccabdeeeeeeeeeeeeabdccdbaecbdaadbceabcddcbaecbaddabceedbaccabddbaccabdeeabdccdbaecbdaadbceabcddcbaecbaddabceeeeeeeeeeeedbaccabdcbdaadbcdbcaacbdabcddcbacbaddabceeeabcddcbaedbcaacbdeedbaccabdeeeeeeabdccdbaecbdaadbc
abcddcbaeecbaddabcedbaccabdeeeeeeabcddcbaecbaddabceeeeedbaccabdecbdaadbcdbcaacbdabcddcbaedbaccabdeeabdccdbacbdaadbcedbcaacbdeeeeeeecbdaadbcabdccdbaeeeeeedbcaacbdcbdaadbceeeeeeeabdccdbaecbdaadbcdbcaacbdeeabcddcbaedbaccabdabdccdbacbdaadbceabcddcbaeeeeecbaddabcedbaccabdeeeeeeabcddcbaecbaddabceedbaccabd
abcddcbaeecbaddabceedbaccabdeeedbcaacbdeeeeeecbdaadbcabdccdbaeecbdaadbcdbcaacbdeeabcddcbaedbaccabdabdccdbacbdaadbceeeeeeabcddcbaeecbaddabceeeedbaccabdcbdaadbceeeedbcaacbdeeabcddcbaeeeeeedbaccabdabdccdbacbdaadbceabcddcbaeecbaddabcdbaccabdeeabdccdbadbaccabdeeeeeecbaddabceeecbdaadbceedbcaacbdeeabcddcba
abcddcbaeecbaddabceedbaccabdeeeeecbdaadbcedbcaacbdeeeeabcddcbaabdccdbaeedbaccabdcbaddabcedbaccabdeabdccdbaeeeeecbdaadbcecbdaadbcdbcaacbdeabcddcbaeeeeeeeeeedbaccabdeabdccdbacbdaadbcecbdaadbceeeeedbcaacbdeabcddcbaecbaddabcabcddcbaeedbcaacbddbaccabdeeeeabdccdbaecbdaadbceeeeeabcddcbaeecbaddabceedbaccabd
abcddcbaeecbaddabceeeedbaccabddbaccabdeeeeeeabdccdbacbdaadbceeecbdaadbcdbcaacbdeabcddcbaedbcaacbdcbdaadbceeeabdccdbaeeeeeeeecbdaadbceedbcaacbdabcddcbaabcddcbacbaddabceedbaccabdeeeeeeeeabdccdbaeeedbaccabdcbaddabceabcddcbaecbaddabcdbaccabdeeedbaccabdabdccdbaeeeeeecbdaadbccbdaadbceeeedbcaacbdeeabcddcba
abcddcbaeecbaddabceeeedbaccabddbaccabdeeeeeeabdccdbacbdaadbceeedbcaacbdcbdaadbceabdccdbaecbdaadbcdbcaacbdeeeabcddcbaeeeeeeeecbdaadbceedbcaacbdabcddcbaabcddcbacbaddabceedbaccabdeeeeeeeeabcddcbaeeecbaddabcdbaccabdeabdccdbaedbaccabdcbaddabceeedbaccabdabdccdbaeeeeeecbdaadbccbdaadbceeeedbcaacbdeeabcddcba
abcddcbaeeecbaddabcedbaccabdeeedbaccabdeeeeeabdccdbaecbdaadbcedbcaacbdcbdaadbceeabdccdbacbdaadbceeeedbcaacbdabcddcbaeeeeeeeecbdaadbcedbcaacbdeabcddcbaabcddcbaecbaddabcedbaccabdeeeeeeeeabcddcbacbaddabceeeedbaccabdabdccdbaeedbaccabdcbaddabcedbaccabdeabdccdbaeeeeecbdaadbceeecbdaadbcedbcaacbdeeeabcddcba
abcddcbaeeecbaddabcedbaccabdeeeedbcaacbdeecbdaadbceeabdccdbaeeedbaccabdabdccdbacbdaadbceeeeeecbdaadbcdbcaacbdeabcddcbaabcddcbacbaddabcdbaccabdeeeeeeeeeeeeeeeedbaccabdabdccdbacbdaadbccbdaadbcedbcaacbdabcddcbaeeeeeeabcddcbacbaddabcdbaccabdeeecbaddabceeabcddcbaeedbcaacbdeeeedbaccabdeabdccdbaeeecbdaadbc
abcddcbaeeecbaddabceedbaccabdeeeabcddcbaecbaddabceeedbaccabddbcaacbdeeeeecbdaadbceabdccdbadbcaacbdeecbdaadbceabdccdbacbaddabceeeeeeeeeabcddcbadbcaacbddbaccabdabdccdbaeeeeeeeeecbdaadbcdbcaacbdecbdaadbceeabdccdbadbcaacbdecbdaadbceeeeeabdccdbaabcddcbaeeecbaddabcedbaccabdeeeabcddcbaeecbaddabceeedbaccabd
abcddcbaeeecbaddabceedbaccabdeeeabcddcbaecbaddabceeedbaccabddbcaacbdeeeeecbdaadbceabdccdbadbcaacbdeecbdaadbceabdccdbacbdaadbceeeeeeeeedbcaacbdabcddcbaabdccdbadbaccabdeeeeeeeeecbaddabcdbcaacbdecbdaadbceeabdccdbadbcaacbdecbdaadbceeeeeabdccdbaabcddcbaeeecbaddabcedbaccabdeeeabcddcbaeecbaddabceeedbaccabd
abcddcbaeeecbaddabceeedbaccabdcbaddabceeeeeabcddcbaedbcaacbdedbcaacbdecbdaadbceabdccdbaedbcaacbdeeeeeeeecbdaadbceabdccdbadbcaacbdcbdaadbceeeeabdccdbaeeabdccdbaeeeedbaccabdcbaddabcabdccdbaedbaccabdeeeeeeeecbaddabceabdccdbaedbaccabdecbaddabcecbaddabceabcddcbaeeeeedbcaacbdcbdaadbceeedbcaacbdeeeabcddcba
abcddcbaeeeecbaddabcdbaccabdeeeeeabcddcbacbaddabceedbaccabdcbdaadbceeeedbcaacbdeeabcddcbaeeedbaccabdeabdccdbaeecbdaadbceedbcaacbdeecbdaadbceabdccdbaeeeedbcaacbdecbdaadbceeabdccdbaeedbcaacbdeecbdaadbceabdccdbaeeeabdccdbaeedbaccabdeeeecbaddabccbaddabceeabcddcbadbcaacbdeeeeeabcddcbacbaddabceeeedbaccabd
abcddcbaeeeecbaddabcdbaccabdeeeeeabdccdbadbaccabdeecbaddabccbaddabceeeeabcddcbaeedbcaacbdeeedbcaacbdecbdaadbceeabdccdbaeedbcaacbdeecbdaadbceabdccdbaeeeedbcaacbdecbdaadbceeabdccdbaeecbdaadbceedbcaacbdeabcddcbaeeedbaccabdeeabdccdbaeeeecbdaadbcabcddcbaeecbaddabcdbaccabdeeeeeabcddcbacbaddabceeeedbaccabd
abcddcbaeeeecbaddabcedbaccabdecbdaadbceeeeeedbcaacbdabcddcbadbaccabdabdccdbaeecbdaadbcdbaccabdeeeeeeeeeeeeeabdccdbacbdaadbcdbcaacbdecbdaadbcabdccdbaeeeecbaddabcabcddcbaedbcaacbdabcddcbacbaddabceeeeeeeeeeeeedbaccabdabcddcbaeecbaddabcdbaccabdcbdaadbcdbcaacbdeeeeeeabcddcbaedbaccabdeabdccdbaeeeecbdaadbc
abcddcbaeeeecbaddabcedbaccabdecbdaadbceeeeeedbcaacbdabcddcbadbaccabdabdccdbaeecbdaadbcdbcaacbdeeeeeeeeeeeeecbdaadbcabdccdbadbaccabdeabdccdbacbdaadbceeeeabcddcbacbaddabcedbaccabdcbaddabcabcddcbaeeeeeeeeeeeeedbcaacbdabcddcbaeecbaddabcdbaccabdcbdaadbcdbcaacbdeeeeeeabcddcbaedbaccabdeabdccdbaeeeecbdaadbc
abcddcbaeeeecbaddabcedbaccabdeecbdaadbceedbcaacbdeeeabcddcbadbaccabdeeeabdccdbacbdaadbceeeeeedbaccabdabdccdbaeecbdaadbceecbaddabceeabcddcbaedbcaacbdeeeeabdccdbaedbaccabdeecbaddabceecbdaadbceedbcaacbdabcddcbaeeeeeecbdaadbcdbcaacbdeeeabcddcbadbaccabdeeeabdccdbaeecbdaadbceeabcddcbaecbaddabceeeedbaccabd
abcddcbaeeeecbaddabcedbaccabdeedbcaacbdecbdaadbceeeeabdccdbaeeabcddcbaecbaddabcdbaccabdeeeeeedbcaacbdcbdaadbceabdccdbaecbdaadbceeeeedbcaacbdeabcddcbaeeabdccdbaedbaccabdeeeeecbaddabcedbcaacbdecbdaadbcabdccdbaeeeeeeabcddcbacbaddabcedbaccabdeedbaccabdeeeeabdccdbaecbdaadbceecbaddabceabcddcbaeeeedbcaacbd
abcddcbaeeeecbaddabcedbaccabdeedbcaacbdecbdaadbceeeeabdccdbaeeabdccdbaedbaccabdcbaddabceeeeeecbdaadbcdbcaacbdeabcddcbaedbaccabdeeeeeabdccdbaecbdaadbceecbaddabceabcddcbaeeeeedbcaacbdecbdaadbcedbcaacbdabcddcbaeeeeeeabdccdbadbaccabdecbaddabceecbdaadbceeeedbcaacbdeabcddcbaeeabdccdbaedbaccabdeeeecbaddabc
abcddcbaeeeecbaddabcedbaccabdeedbcaacbdecbdaadbceeeeabdccdbaeecbdaadbcedbcaacbdabcddcbaeeeeeeabdccdbadbaccabdecbaddabcedbaccabdeeeeeabdccdbaecbdaadbceecbaddabceabcddcbaeeeeedbcaacbdeabdccdbaedbaccabdcbaddabceeeeeecbdaadbcdbcaacbdeabcddcbaeecbdaadbceeeedbcaacbdeabcddcbaeeabdccdbaedbaccabdeeeecbaddabc
abcddcbaeeeecbaddabcedbaccabdeedbcaacbdecbdaadbceeeeabdccdbaeedbcaacbdecbdaadbcabdccdbaeeeeeeabcddcbacbaddabcedbaccabdecbdaadbceeeeedbcaacbdeabcddcbaeeabdccdbaedbaccabdeeeeecbaddabceabcddcbaecbaddabcdbaccabdeeeeeedbcaacbdcbdaadbceabdccdbaeedbaccabdeeeeabdccdbaecbdaadbceecbaddabceabcddcbaeeeedbcaacbd
abcddcbaeeeecbaddabcedbaccabdeeecbdaadbcdbcaacbdeeeeabcddcbaedbaccabdabdccdbaecbdaadbceeeeeeedbcaacbdecbdaadbceeabdccdbaedbaccabdeeeeabdccdbaecbdaadbcabcddcbaecbaddabceeeedbaccabdecbaddabceeabcddcbaedbcaacbdeeeeeeeabcddcbaecbaddabcdbaccabdecbdaadbceeeedbcaacbdabcddcbaeeedbaccabdeabdccdbaeeeecbdaadbc
eabcddcbacbaddabcedbaccabdeeeeeeeeecbaddabcabcddcbaeedbcaacbddbaccabdeeeabdccdbaeecbdaadbcdbcaacbdecbdaadbcabdccdbaecbdaadbceeeeeeeeedbcaacbdabcddcbaeedbaccabdabdccdbaeeeeeeeeecbdaadbceabdccdbadbaccabdecbaddabccbaddabceeabcddcbaeeedbcaacbddbaccabdeeabdccdbacbdaadbceeeeeeeeecbaddabceabcddcbadbcaacbde
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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).
