Distributional evenness: Difference between revisions
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== List of distributionally even circular words == | == List of distributionally even circular words == | ||
Below is the complete list of distributionally even circular words up to 10 letters. | Below is the complete list of distributionally even circular words up to 10 letters, up to equivalence under reassignment of letters. | ||
=== 1 Letter === | === 1 Letter === | ||
1 letter, | 1 letter, unary: 0 | ||
=== 2 Letters === | === 2 Letters === | ||
2 letters, | 2 letters, unary: 00 | ||
2 letters, | 2 letters, binary: 01 | ||
=== 3 Letters === | === 3 Letters === | ||
3 letters, | 3 letters, unary: 000 | ||
3 letters, | 3 letters, binary: 001 | ||
3 letters, | 3 letters, ternary: 012 | ||
=== 4 Letters === | === 4 Letters === | ||
4 letters, | 4 letters, unary: 0000 | ||
4 letters, | 4 letters, binary: 0001, 0101 | ||
4 letters, | 4 letters, ternary: 0102 | ||
4 letters, | 4 letters, quaternary: 0123 | ||
=== 5 Letters === | === 5 Letters === | ||
5 letters, | 5 letters, unary: 00000 | ||
5 letters, | 5 letters, binary: 00001, 00101 | ||
5 letters, | 5 letters, ternary: 00102, 01012 | ||
5 letters, | 5 letters, quaternary: 01023 | ||
5 letters, | 5 letters, quinary: 01234 | ||
=== 6 Letters === | === 6 Letters === | ||
6 letters, | 6 letters, unary: 000000 | ||
6 letters, | 6 letters, binary: 000001, 001001, 010101 | ||
6 letters, | 6 letters, ternary: 001002, 012012 | ||
6 letters, | 6 letters, quaternary: 010203, 012013 | ||
6 letters, | 6 letters, quinary: 012034 | ||
6 letters, | 6 letters, 6-ary: 012345 | ||
=== 7 Letters === | === 7 Letters === | ||
7 letters, | 7 letters, unary: 0000000 | ||
7 letters, | 7 letters, binary: 0000001, 0001001, 0010101 | ||
7 letters, | 7 letters, ternary: 0001002, 0010201, 0101012, 0102012 | ||
7 letters, | 7 letters, quaternary: 0010203, 0102013, 0102032, 0120123 | ||
7 letters, | 7 letters, quinary: 0102034, 0120134, 0120314 | ||
7 letters, | 7 letters, 6-ary: 0120345 | ||
7 letters, | 7 letters, 7-ary: 0123456 | ||
=== 8 Letters === | === 8 Letters === | ||
8 letters, | 8 letters, unary: 00000000 | ||
8 letters, | 8 letters, binary: 00000001, 00010001, 00100101, 01010101 | ||
8 letters, | 8 letters, ternary: 00010002, 01020102, 01021012 | ||
8 letters, | 8 letters, quaternary: 00100203, 01012013, 01020103, 01021013, 01230123 | ||
8 letters, | 8 letters, quinary: 01020304, 01023042, 01230124 | ||
8 letters, | 8 letters, 6-ary: 01023045, 01230145, 01230425 | ||
8 letters, | 8 letters, 7-ary: 01230456 | ||
8 letters, | 8 letters, 8-ary: 01234567 | ||
=== 9 Letters === | === 9 Letters === | ||
9 letters, | 9 letters, unary: 000000000 | ||
9 letters, | 9 letters, binary: 000000001, 000010001, 001001001, 001010101 | ||
9 letters, | 9 letters, ternary: 000010002, 001020102, 010101012, 012012012 | ||
9 letters, | 9 letters, quaternary: 001002003, 001020103, 001020302, 010201023, 010201032, 012031023 | ||
9 letters, | 9 letters, quinary: 001020304, 010201034, 010201304, 010203042, 012013014, 012031024, 012301234 | ||
9 letters, | 9 letters, 6-ary: 010203045, 012031045, 012301245, 012301425, 012301435, 012304135 | ||
9 letters, | 9 letters, 7-ary: 012034056, 012301456, 012304156, 012304256 | ||
9 letters, | 9 letters, 8-ary: 012304567 | ||
9 letters, | 9 letters, 9-ary: 012345678 | ||
=== 10 Letters === | === 10 Letters === | ||
10 letters, | 10 letters, unary: 0000000000 | ||
10 letters, | 10 letters, binary: 0000000001, 0000100001, 0001001001, 0010100101, 0101010101 | ||
10 letters, | 10 letters, ternary: 0000100002, 0010200102, 0101201012, 0102102012 | ||
10 letters, | 10 letters, quaternary: 0001002003, 0010200103, 0010200302, 0101201013, 0102301023, 0120120123, 0120310213 | ||
10 letters, | 10 letters, quinary: 0010200304, 0102103014, 0102301024, 0102301043, 0102304023, 0120130214, 0120310214, 0120310413, 0123401234 | ||
10 letters, | 10 letters, 6-ary: 0102030405, 0102301045, 0102304025, 0102304053, 0120130145, 0120130415, 0120310415, 0120340253, 0123401235 | ||
10 letters, | 10 letters, 7-ary: 0102304056, 0120340256, 0120340563, 0123401256, 0123401536 | ||
10 letters, | 10 letters, 8-ary: 0120340567, 0123401567, 0123405267 | ||
10 letters, | 10 letters, 9-ary: 0123405678 | ||
10 letters, | 10 letters, 10-ary: 0123456789 | ||
== Related topics == | == Related topics == | ||