Additive Squares

Word of length 399 over {0, 3, 7, 12}

by Aayush Rajasekaran, 2026-08-20 · the current record for this alphabet · JSON

Display: drawn for the equivalent alphabet translated by -5 (drift removed).

3 7 3 0 12 3 7 0 7 3 7 0 12 3 12 7 12 0 3 0 12 0 7 3 7 12 0 7 0 3 0 12 0 3 0 7 3 0 3 12 3 7 12 3 12 0 3 0 7 0 3 0 12 0 7 3 12 7 12 0 7 12 3 0 3 12 3 7 12 0 12 7 12 3 7 3 0 7 12 7 3 0 7 0 12 0 3 0 7 3 7 12 0 7 3 0 3 12 3 7 3 0 7 12 7 3 12 7 12 0 7 12 7 3 12 3 0 12 3 12 7 12 0 12 7 12 3 7 12 7 0 7 3 7 12 3 12 0 12 7 0 7 3 0 12 0 3 7 3 12 3 7 0 12 7 3 12 7 12 0 12 7 12 3 7 3 0 7 12 7 3 0 7 0 12 0 7 0 3 0 12 7 12 3 0 3 7 3 0 12 0 7 3 7 0 12 7 12 3 12 0 12 7 0 3 0 12 3 0 3 7 3 12 3 0 12 0 7 3 7 12 0 7 0 3 0 12 0 3 0 7 3 0 3 12 7 0 7 3 0 3 12 3 0 3 7 3 12 7 0 7 12 3 12 0 7 0 3 12 3 0 3 7 3 0 3 12 0 7 0 3 12 0 12 7 0 7 3 0 12 7 3 12 7 12 0 7 3 7 0 12 7 0 3 7 3 12 3 0 12 3 12 7 12 0 12 7 12 3 7 12 7 0 7 3 7 12 3 12 0 12 7 0 7 3 0 7 0 12 0 3 12 7 3 7 0 3 0 12 0 3 0 7 3 0 3 12 3 7 3 0 7 12 0 12 3 12 7 0 7 12 7 0 3 12 3 7 3 0 3 7 3 12 7 12 0 3 12 3 7 3 0 3 12 0 3 0 7 0 12 0 3 12 7 3 0 7 3 12

Alphabet {0, 3, 7, 12}

size 4 · diameter 12 · record length 399 · 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

• 399 (first) — Aayush Rajasekaran, 2026-08-20

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