Notes on a strongly aperiodic monotile in $E^3$ · HackerPapers discussions

Notes on a strongly aperiodic monotile in $E^3$ — mentioned by penteract

Wed, 14 Oct 2026 15:48:54 GMT

Yeah, the seven cubes shape tiles R^3 by itself following the aperiodic tiling, but it also tiles R^3 in other ways, some of which are periodic. The bumps prevent any of the periodic tilings. See [1] for a better explanation with a picture of the shape as a rep-tile, and [2] for insight into how a rep-tile becomes an aperiodic tiling. [1] https://arxiv.org/abs/2609.24779 [2] https://en.wikipedia.org/wiki/Rep-tile#Examples

Paper and discussion history. A mention is not an endorsement.

Notes on a strongly aperiodic monotile in $E^3$ — mentioned by yorwba

Tue, 13 Oct 2026 10:10:25 GMT

See even more: https://arxiv.org/abs/2609.24779

Paper and discussion history. A mention is not an endorsement.

Notes on a strongly aperiodic monotile in $E^3$ — HN submission

Sun, 27 Sep 2026 12:24:09 GMT

Notes on a strongly aperiodic monotile in E^3

4 points; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.