Spectre

Discovered by

Info

The Spectre tiling was derived from the Hat tiling. While the aperiodic monotiles of the Hat tiling appear in two chiralities, the aperiodic monotiles of the Spectre tiling have the same chirality. As the Hat tiling this one is also not really a substitution tiling.

The patch was generated with the Spectre Tile Generator, see [KAP2024] for details.

A relative simple way to generic the Spectre tiling manually was published in [SSC2024] .

Patch

Patch Spectre download vectorformat Spectre

References

[SSC2024]
Vorthmann, S. and Dong, S. and Goodman-Strauss, C.
A Group Activity to Build an Aperiodic Spectre Tiling
Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture 2024, 4(2), 385–388, bridges2024-385.pdf

[SMCG2024a]
Smith, D. and Myers, J. S. and Kaplan, C. S. and Goodman-Strauss, C.
An Chiral Aperiodic Monotile
Combinatorial Theory 2024, 4(2), https://doi.org/10.5070/C64264241

[Kap2024]
Kaplan, C. S.
Spectre Tile Generator
2024, https://cs.uwaterloo.ca/~csk/spectre/app.html