Software developer claims GPT-6 Astra found first 3D aperiodic monotile, dubbed Chair44

burny_tech · x · 2026-09-28

Quanta Magazine reports that on September 16, Athens-based software developer Ioannis Tsiokos shared a paper claiming he successfully prompted GPT-6 Astra to produce the first 3D aperiodic monotile ("einstein"), which he named Chair44.

Tiling has long been hospitable to amateurs: a set of thousands of aperiodic tiles was found in the 1960s, reduced to two tiles in the 1970s; in 2009 amateur mathematician Joan Taylor found a single tile (with disconnected parts), and in 2022 David Smith discovered the connected hat-shaped tile, settling the 2D question. The 3D version remained open — Tsiokos says "the 3D Einstein was found by Astra, not me."

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