Length 2451 over {0, 4, 9, 11, 12, 17}

Word of length 2451 over {0, 4, 9, 11, 12, 17}

by David Renshaw, 2026-08-26 · the current record for this alphabet · JSON

Display: drawn for the equivalent alphabet translated by -9 (drift removed); downsampled ×3.

0 11 12 0 4 9 4 0 4 12 0 4 17 12 0 4 0 17 11 12 0 4 17 12 4 9 11 4 0 4 9 4 17 0 9 4 0 12 11 9 17 11 12 4 17 11 4 17 9 17 0 4 0 9 4 11 0 17 9 11 9 12 17 11 0 11 17 9 0 11 9 11 12 17 9 11 9 12 11 9 0 11 17 12 9 11 17 11 9 4 12 11 0 4 11 17 9 11 9 4 12 17 12 4 9 12 9 17 12 17 0 12 0 4 0 9 12 9 0 17 4 11 4 12 17 9 12 9 4 12 11 12 9 11 9 0 17 4 0 12 4 17 4 12 11 4 12 0 4 11 9 0 12 0 17 0 4 17 9 4 17 12 4 0 11 9 12 11 17 12 17 4 12 4 0 4 17 11 12 4 9 11 12 4 17 4 0 17 12 4 12 11 4 9 4 12 0 12 9 0 12 4 9 0 17 9 4 12 17 11 0 9 0 12 0 4 12 17 12 11 12 0 4 9 12 0 9 0 17 0 11 4 12 0 4 9 12 9 0 11 4 0 11 0 12 9 17 12 11 17 12 17 9 17 4 11 12 17 12 4 12 17 9 0 11 12 11 17 11 4 9 0 12 9 0 17 12 9 12 0 9 0 4 11 17 0 17 12 9 12 11 17 9 4 11 4 0 9 4 12 9 12 0 11 4 9 17 0 4 0 17 0 9 17 0 4 11 4 9 0 4 17 4 9 0 9 4 11 9 17 12 17 4 12 4 0 9 0 11 12 17 11 4 17 11 17 0 17 11 9 12 11 12 4 17 4 9 0 17 4 9 17 11 4 0 9 4 9 11 9 0 12 0 4 0 9 11 4 9 12 11 0 12 11 17 11 12 11 9 0 9 4 9 11 12 9 11 0 11 4 9 4 0 4 12 9 0 11 4 17 4 11 4 9 4 11 4 0 4 9 0 11 12 9 4 9 17 12 4 0 4 12 11 9 0 12 9 0 9 17 0 4 17 12 0 4 9 17 0 11 4 0 11 0 9 0 4 12 11 9 0 4 11 0 9 0 4 12 0 11 12 0 4 12 4 9 12 11 0 17 4 12 0 4 0 11 9 11 0 17 12 4 0 12 11 4 11 17 0 11 4 17 9 4 17 0 4 12 17 11 0 9 17 4 12 0 9 0 12 0 4 0 11 4 0 17 11 9 12 4 9 11 9 4 0 9 4 11 17 0 9 12 11 12 9 4 11 12 11 4 17 9 0 4 0 12 17 12 9 11 0 11 12 17 9 4 17 4 11 9 4 0 9 12 0 4 0 12 17 0 4 9 17 0 17 9 12 4 11 9 11 17 4 17 12 11 12 9 17 0 9 0 11 17 4 12 0 11 0 9 12 0 9 4 11 12 17 9 4 17 0 9 11 17 9 4 0 9 17 0 17 12 4 17 9 4 17 0 11 9 12 17 9 12 4 11 17 9 11 4 17 11 0 9 11 9 17 11 12 17 9 11 17 12 4 17 9 11 17 11 12 17 0 9 17 12 0 12 17 11 0 4 9 4 12 17 11 17 0 12 4 0 4 17 4 9 0 9 12 4 12 11 9 12 0 17 11 4 9 0 9 17 0 4 12 11 17 0 12 17 9 4 17 9 17 12 0 9 17 11 9 12 4 0 4 9 0 11 9 4 0 4 9 17 11 12 17 4 11 12 4 0 4 12 11 4 9 4 0 17 4 0 12 0 4 0 11 9 11 0 12 11 0 9 0 12 17 4 17 0 9 17 4 9 4 0 11 0 12 0 17 9 11 4 17 4 0 9 0 4 11 9 4 9 0 9 17 4 12 11 17 11 4 11 17 12 9 17 0 12 4 17 11 9 4 0 9 17 4 17 11 0 9 11 4 17 0 12 17 9 0 12 11 9 17 0 17 9 17 0 12 17 9 17 12 4 12 17 11 9 12 11 9 0 12 17 9 11 17 9 0 4 11 12 0 17 0 9 17 9 11 12 17 9 0 17 9 17 12 0 9 17 12 4 11 4 9 0 12 9 0 4 0 11 9 0 4 0 12 9 12 4 12 11 17 12 4 17 9 4 11 12 4 0 11 17 11 12 4 0 11 0 9 4 0 4 17 0 17 9 17 4 9 17 12 17 0 4 12 17 12 11 17 4 11 4 9 17 0 11 12 11 17 12 4 11 9 17 9 12 11 17 0 17 12 11 17 12 0 9 4 0 9 17 0 9 4 9 11 17 11 4 0 11 17 11 9 4 11 17 12 11 12 9 11 17 11 9 0 9 12 11 17 12 4 17 11 17 9 4 17 11 17 0 17 9 4 0 17 9 11 4 12 17 11 4 11 17 9 4 17 11 17 9 17 11 0 11 17 12 9 0 17 9 17 11 4 0 11 17 11 0 9 0 4 17 0 4 9 0 9 11 17 4 12 0 17 4 12 4 9 12 11 12 0 9 11 12 11 0 11 17 12 17 11 4 11 9 17 4 9 11 9 0 17 4 11 0 17 11 17 9 12 11 17 12 11 12 9 17 0 12 17 4 11 0 4 17 12 0 4 0 9 12 17 9 11 0 11 17 9 12 11 9 11 17 9 12 17 12 4 17 0 4 9 0 9 12 17 11 17 4 12 17 9 12 4 12 17 12 11 12 17 9 11 17 11 12 4 17 4 11 4 0 4 17 4 12 17 4 17 11 4 17 0 11 17 12 4 17 9 11 17 11 4 17 12 4 9 17 12 17 0 12 17 12 9 4 0 4 12 17 12 0 17 9 11 17 12 17 4 17 12 11 17 12 4 17 9 11 17 12 17 9 12 17 0 4 9 11 12 17 11 17 9 17 4 11 12 4 12 17 4 11 17 9 17 11 17 12 9 11 17 12 11 17 0 12 0 4 0 9 12 0 4 11 17 9 4 12 11 12 17 9 17 11 17 9 12 9 11 4 11 9 0 4 0 12 11 17 9 11 12 17 12 4 17 9 4 11 17 11 12 17 11 17 0 9 4 9 0 12 11 0 17 12 17 9 4 12 0 12 11 12 4 11 17 9 4 17 11 17 12 9 11 0 17 4 17 0 9 11 17 9 17 12 9 17 9 0 4 11 9 0 11 12 0 4 17 4 0 12 4 0 11 0 4 9 11 0 12 4 17 11 12 11 17 11 9 12 17 9 12 9 11 0 17 11 4 17 12 17 4 9 17 12 11 0 9 11 0 4 11 0 9 12 17 11 4 12 9 12 0 11 12 17 9 11 12 9 12 17 12 9 11 17 0 11 12 11 9 12 17 11 17 12 17 11 9 12 17 9 0 12 9 4 12 11 17 12 11 0 17 9 11 9 12 0 11 12 0 17 9 12 11 9 4 17 12 11 12 4 17 12 17 11 9 0 9 17 9 4 12 17 11 9 11 12 9 11 0 9 17 0 9 4 0 17 12 0 11 4 12 4 17 9 17 4 17 11 4 12 17 4 11 0 11 9 12 11 9 4 0 9 11 4 17 9 11 4 12 4 0 9 0 4 11 12 11 17 12 4 12 0 4 12 9 17 12 0 11 4 17 4 12 0 12 17 9 12 17 11 0 12 4 17 9 17 11 17 12 17 11 4 17 11 12 17 12 4 9 0 4 17 4 12 17 9 0 17 9 12 4 11 4 0 9 4 11 17 0 12 0 9 0 12 4 12 17 9 11 0 17 9 4 9 12 4 11 17 4 11 12 11 17 11 9 12 0 12 11 12 4 17 11 4 0 4 12 11 0 11 17 9 17 0 4 11 0 11 9 0 17 9 11 4 12 0 17 9 0 4 9 0 11 4 11 0 17 4 0 9 11 0 4 11 0 11 9 4 0 9 17 4 9 17 11 4 0 12 9 0 12 0 4 0 17 11 12 11 9 12 17 9 0 12 9 11 9 17 11 0 9 17 0 9 0 11 17 9 4 12 11 4 0 9 12 0 9 0 4 0 17 11 17 0 12 11 12 17 11 12 0 11 17 11 4 17 9 11 4 11 9 0 9 4 0 9 17 0 17 12 0 17 11 0 11 9 0 9 12 11 17 12 17 4 9 17 12 17 11 12 0 12 17 0 9 12 4 11 12 17 0 9 12 17 11 12 9 4 11 0 17 4 11 17 4 9 17 4 17 0 11 4 0 11 9 17 0 17 11 0 4 9 17 12 17 0 9 0 17 4 9 4 0 11 17 12 4 9 12 17 9 0 17 0 4 0 9 4 17 4 9 0 9 11 17 12 9 4 0 12 4 17 11 17 12 17 0 17 4 12 17 4 11 17 11 9 11 17 4 17 12 17 11 17 12 9 12 0 12 17 9 12 17 0 17 11 0 9 11 12 17 12 11 9 12 4 9 17 11 0 12 11 0 9 0 12 11 17 12 0 17 9 12 4 9 4 11 4 0 11 4 12 9 12 11 0 9 0 12 4 11 0 4 12 9 17 9 12 11 4 11 9 17 12 11 4 17 4 9 17 11 0 17 12 17 11 9 11 17 0 12 11 17 12 17 4 17 11 17 9 17 12 9 11 17 11 12 17 4 0 12 11 12 17 4 17 12 17 11 12 11 4 0 12 17 0 11 12 17 11 9 4 17 11 0 11 9 11 0 17 9 17 11 17 0 17 12 9 11 0 9 17 9 11 4 12 11 17 12 17 4 0 12 4 9 0 17 0 12 4 9 0 12 11 9 11 17 9 12 0 17 9 4 17 11 9 17 12 17 9 17 4 12 17 12 0 11 0 4 9 12 9 4 11 17 0 9 11 0 17 11 4 17 0 9 17 12 4 12 0 11 12 9 4 0 9 0 12 11 9 0 17 12 11 17 0 4 0 12 0 17 11 9 17 12 17 9 17 0 17 4 12 0 11 9 17 4 12 0 4 12 11 4 0 17 11 9 0 4 0 12 4 12 11 0 11 4 17 11 4 12 0 9 4 9 12 17 12 9 0 12 4 9 0 17 0 4 11 17 0 12 4 17 0 17 9 0 4 0 9 12 17 11 9 12 9 0 9 4 17 12 11 17 11 0 17 12 17 9 12 11 9 12 9 0 17 9 12 11 9 4 12 17 9 0 11 12 11 9 0 4 9 4 17 4 11 12 4 9 17 0 11 17 11 12 17 9 11 0 12 17 0 9 12 0 12 17 12 11 17 9 12 17 12 11 17 11 9 12 17 11 9 4 17 11 0 17 4 17 11 17 9 4 0 12 4 9 17 0 17 4 17 0 11 4 0 4 9 0 12 11 4 9 17 0 17 9 11 9 0 11 4 17 11 12 0 17 11 17 12 11 17 4 12 17 9 11 4 0 11 17 0 12 4 11 0 17 9 11 4 0 11 4 12 0 12 9 0 11 0 4 12 17 9 12 4 11 12 17 0 9 0 4 9 4 11 0 11 12 4 11 0 17 11 12 4 9 17 4 0 17 12 17 9 4 12 11 4 12 17 9 0 9 17 12 17 11 17 9 11 12 11 0 9 4 17 11 17 0 12 0 9 17 4 11 0 17 9 17 11 12 17 12 4 11 4 12 9 17

Alphabet {0, 4, 9, 11, 12, 17}

size 6 · diameter 17 · record length 2451 · JSON

open No exhaustive search has settled this alphabet; the record is a lower bound on the (possibly infinite) maximum.

Know the exact maximum? Log in to claim this alphabet closed.

Record history

2451 (was 37) — David Renshaw, 2026-08-26
37 (first) — Bryna Kra, 2026-08-26

Comments

David Renshaw · 2026-08-26 21:48 UTC

Improved word 405 from length 37 to 2451 in a focused ten-minute randomized backjumping and mobility-restart search, preserving the exact alphabet {0,4,9,11,12,17}. Independently reverified before submission.

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