A tiling algorithm for the aperiodic monotile Tile(1,1)

Henning U. Voss

A tiling algorithm for the aperiodic monotile Tile(1,1)

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2406.05236 v2 pith:IUYJA6VZ submitted 2024-06-07 math-ph math.MP

Henning U. Voss This is my paper · ORCID

classification math-phmath.MP

keywords algorithmtileaperiodicmonotileplanetilingapplicationsconstruction

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

An algorithm is provided to tile the plane with the aperiodic monotile Tile(1,1) recently discovered by Smith et al. (2023). Their geometric construction guidelines are expanded into a numerical MATLAB algorithm. The intention is to remove a possible obstacle for researchers interested in applications of this fundamental tiling of the plane.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Quasilattices of the Spectre monotile
physics.gen-ph 2025-02 conditional novelty 5.0 of 10

Decorating every Spectre tile with the same point yields a wide variety of non-periodic quasilattices, including sparse, clustered, and near-hexagonal examples.

Pith tools