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5d60

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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

abcddcbaeeeecbaddabcedbaccabdeedbaccabdecbaddabceeeeabcddcbaeeabcddcbaecbaddabcdbaccabdeeeeeedbaccabdcbaddabceabcddcbaecbdaadbceeeeedbcaacbdeabcddcbaeeabcddcbaedbcaacbdeeeeecbdaadbcedbcaacbdecbdaadbcabdccdbaeeeeeeabdccdbacbdaadbcedbcaacbdeedbaccabdeeeeabdccdbaecbdaadbceecbdaadbceabdccdbaeeeedbaccabd

abcddcbaeeeecbaddabcedbaccabdeedbaccabdecbaddabceeeeabcddcbaeeabdccdbaedbaccabdcbaddabceeeeeecbaddabcdbaccabdeabdccdbaedbaccabdeeeeeabdccdbaecbdaadbceecbdaadbceabdccdbaeeeeedbaccabdecbdaadbcedbcaacbdabcddcbaeeeeeeabcddcbadbcaacbdecbdaadbceecbdaadbceeeedbcaacbdeabcddcbaeeabcddcbaedbcaacbdeeeecbdaadbc

abcddcbaeeeecbaddabcedbaccabdeedbaccabdecbaddabceeeeabcddcbaeecbdaadbcedbcaacbdabcddcbaeeeeeeabcddcbadbcaacbdecbdaadbcedbaccabdeeeeeabdccdbaecbdaadbceecbdaadbceabdccdbaeeeeedbaccabdeabdccdbaedbaccabdcbaddabceeeeeecbaddabcdbaccabdeabdccdbaeecbdaadbceeeedbcaacbdeabcddcbaeeabcddcbaedbcaacbdeeeecbdaadbc

abcddcbaeeeecbaddabcedbaccabdeedbaccabdecbaddabceeeeabcddcbaeedbcaacbdecbdaadbcabdccdbaeeeeeeabdccdbacbdaadbcedbcaacbdecbdaadbceeeeedbcaacbdeabcddcbaeeabcddcbaedbcaacbdeeeeecbdaadbceabcddcbaecbaddabcdbaccabdeeeeeedbaccabdcbaddabceabcddcbaeedbaccabdeeeeabdccdbaecbdaadbceecbdaadbceabdccdbaeeeedbaccabd

eabcddcbacbaddabcedbaccabdeeeeeeeeedbaccabdecbaddabcabcddcbaeedbaccabdeabdccdbacbdaadbceeeecbdaadbcabdccdbaeeedbaccabdedbcaacbdeeecbdaadbcabdccdbaeeeeeeeeabdccdbacbdaadbceeedbcaacbdedbaccabdeeeabdccdbacbdaadbceeeecbdaadbcabdccdbaedbaccabdeecbaddabcabcddcbaedbcaacbdeeeeeeeeedbcaacbdeabcddcbacbaddabce

eabcddcbacbaddabcedbaccabdeeeeeeeeedbaccabdecbaddabcabcddcbaeedbcaacbdecbdaadbcabdccdbaeeeeabdccdbacbdaadbceeedbcaacbdedbaccabdeeeabdccdbacbdaadbceeeeeeeecbdaadbcabdccdbaeeedbaccabdedbcaacbdeeecbdaadbcabdccdbaeeeeabdccdbacbdaadbcedbcaacbdeecbaddabcabcddcbaedbcaacbdeeeeeeeeedbcaacbdeabcddcbacbaddabce

eabcddcbaecbaddabceeeedbaccabddbaccabdeeeecbaddabceabcddcbaeeecbaddabceabcddcbaeedbcaacbdedbcaacbdeeabcddcbaecbaddabceeeeeedbaccabdeeabdccdbacbdaadbceecbdaadbcabdccdbaeedbaccabdeeeeeecbdaadbcedbcaacbdeeabcddcbaeabcddcbaeedbcaacbdecbdaadbceeedbaccabdeabdccdbaeeeecbdaadbccbdaadbceeeeabdccdbaedbaccabde

eabcddcbaecbaddabceeeedbaccabddbaccabdeeeecbaddabceabcddcbaeeecbdaadbcedbcaacbdeeabcddcbaeabcddcbaeedbcaacbdecbdaadbceeeeeedbaccabdeeabdccdbacbdaadbceecbdaadbcabdccdbaeedbaccabdeeeeeecbaddabceabcddcbaeedbcaacbdedbcaacbdeeabcddcbaecbaddabceeedbaccabdeabdccdbaeeeecbdaadbccbdaadbceeeeabdccdbaedbaccabde

eabcddcbaecbaddabceeeedbaccabddbaccabdeeeecbaddabceabcddcbaeeedbaccabdeabdccdbaeecbdaadbcecbdaadbceeabdccdbaedbaccabdeeeeeeabcddcbaeecbaddabcdbaccabdeedbaccabdcbaddabceeabcddcbaeeeeeedbcaacbdecbdaadbceeabdccdbaeabdccdbaeecbdaadbcedbcaacbdeeecbdaadbcedbcaacbdeeeeabcddcbaabcddcbaeeeedbcaacbdecbdaadbce

eabcddcbaecbaddabceeeedbaccabddbaccabdeeeecbaddabceabcddcbaeeedbcaacbdecbdaadbceeabdccdbaeabdccdbaeecbdaadbcedbcaacbdeeeeeeabcddcbaeecbaddabcdbaccabdeedbaccabdcbaddabceeabcddcbaeeeeeedbaccabdeabdccdbaeecbdaadbcecbdaadbceeabdccdbaedbaccabdeeecbdaadbcedbcaacbdeeeeabcddcbaabcddcbaeeeedbcaacbdecbdaadbce

eabcddcbaeecbaddabcdbaccabdeeeeeedbaccabdcbaddabceeabcddcbaeeabcddcbaeeecbaddabcedbaccabdeedbaccabdecbaddabceeeabcddcbacbdaadbceeeeedbcaacbdeabcddcbaeeabcddcbaedbcaacbdeeeeecbdaadbcdbaccabdeeeabdccdbaecbdaadbceecbdaadbceabdccdbaeeedbaccabdeedbcaacbdeecbdaadbcabdccdbaeeeeeeabdccdbacbdaadbceedbcaacbde

eabcddcbaeecbaddabcdbaccabdeeeeeedbaccabdcbaddabceeabcddcbaeeabdccdbaeeedbaccabdecbaddabceecbaddabcedbaccabdeeeabdccdbacbaddabceeeeeabcddcbaedbcaacbdeedbcaacbdeabcddcbaeeeeecbaddabcdbcaacbdeeecbdaadbceabdccdbaeeabdccdbaecbdaadbceeedbcaacbdeedbcaacbdeecbdaadbcabdccdbaeeeeeeabdccdbacbdaadbceedbcaacbde

eabcddcbaeecbaddabcdbaccabdeeeeeedbaccabdcbaddabceeabcddcbaeedbaccabdeeeabdccdbaecbdaadbceecbdaadbceabdccdbaeeedbaccabdcbdaadbceeeeedbcaacbdeabcddcbaeeabcddcbaedbcaacbdeeeeecbdaadbcabcddcbaeeecbaddabcedbaccabdeedbaccabdecbaddabceeeabcddcbaeedbcaacbdeecbdaadbcabdccdbaeeeeeeabdccdbacbdaadbceedbcaacbde

eabcddcbaeecbaddabcdbaccabdeeeeeedbaccabdcbaddabceeabcddcbaeedbcaacbdeeecbdaadbceabdccdbaeeabdccdbaecbdaadbceeedbcaacbdcbaddabceeeeeabcddcbaedbcaacbdeedbcaacbdeabcddcbaeeeeecbaddabcabdccdbaeeedbaccabdecbaddabceecbaddabcedbaccabdeeeabdccdbaeedbcaacbdeecbdaadbcabdccdbaeeeeeeabdccdbacbdaadbceedbcaacbde

Some of these configurations we 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).

5d60.1692055645.txt.gz · Last modified: 2023/08/14 23:27 by harshec