Additive Squares

Word of length 1134 over {0, 3, 6, 7, 8, 13}

by David Renshaw, 2026-09-17 · the current record for this alphabet · JSON

Display: drawn for the equivalent alphabet translated by -6 (drift removed).

13 8 7 13 8 6 13 0 3 8 13 7 3 6 7 8 13 3 8 7 13 8 3 13 8 6 8 0 6 3 0 3 8 13 8 3 7 3 13 8 6 7 6 13 3 0 3 8 13 3 13 7 0 8 7 3 6 13 8 13 7 8 7 6 0 6 7 13 3 0 8 7 0 6 13 3 7 8 3 0 7 8 3 6 8 13 6 0 8 7 0 8 6 0 7 3 13 3 0 7 3 13 7 8 0 3 0 7 3 0 3 13 3 0 6 0 3 7 8 6 13 3 0 7 0 3 0 13 8 6 0 8 3 0 3 6 13 0 3 7 0 7 13 7 0 6 8 3 13 8 7 6 7 8 7 13 3 0 6 3 0 13 8 3 7 8 7 0 13 7 13 3 7 13 7 0 7 6 8 3 8 7 6 7 13 6 13 8 3 7 13 7 8 13 7 6 0 6 13 6 0 3 7 8 3 6 13 0 8 0 7 13 6 7 13 8 6 3 8 7 13 3 8 3 0 8 3 13 7 0 8 13 6 7 6 0 6 3 8 3 6 3 8 7 13 0 3 0 7 6 3 7 6 7 13 8 0 13 3 8 0 3 0 7 6 7 8 3 8 6 3 6 13 8 13 7 8 7 3 8 3 0 7 8 7 13 6 0 13 6 13 8 3 7 13 6 7 8 13 0 7 13 6 0 6 7 3 8 13 7 13 3 13 7 13 6 7 13 7 8 13 8 3 13 0 13 7 13 8 6 8 0 13 7 8 13 0 8 13 8 6 8 0 3 7 3 8 7 6 8 6 13 8 7 6 3 8 6 7 8 7 13 6 7 0 3 0 6 8 0 8 3 13 6 8 3 8 6 8 3 7 3 0 7 3 8 0 13 0 6 8 3 13 8 0 6 8 6 3 0 6 0 13 3 13 6 3 13 8 6 13 6 0 6 7 13 6 7 8 3 0 6 13 7 0 6 13 8 13 7 0 13 8 13 7 8 3 8 6 13 7 8 3 13 3 8 3 13 0 13 7 0 3 13 6 7 0 3 6 8 0 8 6 8 3 6 3 13 0 8 13 6 8 3 6 8 6 0 3 8 13 0 6 0 13 3 0 6 0 7 13 6 3 7 3 8 13 3 6 0 3 7 6 0 8 0 3 8 0 7 8 0 3 6 0 13 7 8 7 3 7 0 3 8 7 3 0 6 7 0 6 8 0 3 13 8 13 6 3 7 8 0 13 3 6 3 13 3 7 3 0 13 7 3 7 8 3 7 6 8 13 6 7 13 6 13 8 13 0 3 8 7 8 0 6 7 6 8 3 7 8 3 0 3 6 8 7 3 8 6 3 13 3 0 8 7 8 13 7 6 13 8 6 13 6 0 8 3 6 0 6 8 13 8 6 3 7 6 3 0 6 0 7 6 7 13 3 8 3 6 0 3 0 7 13 3 6 0 3 0 7 3 6 3 7 8 3 0 3 13 6 3 8 3 6 0 6 7 0 6 0 3 0 7 0 3 8 3 0 6 0 3 8 13 0 3 6 3 8 3 0 6 0 8 3 0 7 0 3 0 6 3 0 3 13 0 8 0 3 7 0 3 0 6 13 7 13 8 7 3 0 3 13 6 8 6 13 7 8 3 13 0 3 7 13 7 3 6 13 3 6 8 0 8 13 8 3 6 0 13 7 0 3 0 6 13 3 0 13 0 8 3 13 6 13 3 8 13 7 0 7 13 8 13 6 7 3 13 7 13 6 8 6 7 3 13 8 0 8 6 3 0 13 3 0 8 13 7 6 13 8 7 8 3 6 0 3 13 7 3 0 3 8 3 0 13 7 0 3 7 8 3 0 3 6 8 13 6 7 8 0 7 0 3 6 0 3 13 8 7 0 3 6 3 7 3 0 6 0 7 8 0 13 7 0 3 0 7 0 6 3 0 6 7 13 7 6 8 3 6 13 8 13 0 8 6 0 3 7 13 6 7 6 8 13 0 6 0 7 13 0 7 3 0 13 6 3 0 3 13 0 7 3 0 7 6 8 0 13 0 7 13 0 8 7 13 6 13 7 13 6 0 6 7 13 6 13 3 13 6 0 13 0 8 0 7 6 7 3 8 0 6 13 3 6 13 6 8 13 6 0 6 8 13 3 8 13 6 7 13 8 7 13 0 8 13 6 13 8 3 8 7 0 8 3 13 3 0 13 0 6 13 6 8 0 13 0 7 3 0 6 8 3 8 13 0 7 13 8 7 8 6 0 6 7 8 3 7 0 6 3 13 3 8 13 6 3 0 3 6 7 0 8 6 0 3 13 3 7 13 7 6 13 7 0 3 7 13 8 13 3 8 13 8 7 13 0 8 7 8 3 6 0 3 0 13 7 8 3 13 3 7 0 3 13 3 0 6 8 6 3 8 3 0 6 13 3 8 13 0 13 7 8 7 0 3 8 13 3 7 0 6 3 0 13 3 7 0 13 0 3 0 8 6 8 0 3 0 8 7 3 0 6 7 13 8 0 7 6 13 7 0 8 3 7 3 8 3 7 0 13 8 13 0 6 13 6 7 3 7 6 8 7 3

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Alphabet {0, 3, 6, 7, 8, 13}

size 6 · diameter 13 · record length 1134 · JSON

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

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Record history

• 1134 (was 62) — David Renshaw, 2026-09-17
• 62 (first) — Ethan Ackelsberg, 2026-08-26

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