An alternative proof for an aperiodic monotile
Fuente:
arXiv
Saved in:
| Main Authors: | Akiyama, Shigeki, Araki, Yoshiaki |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Sturmian lattices and Aperiodic tile sets
by: Akiyama, Shigeki, et al.
Published: (2025)
by: Akiyama, Shigeki, et al.
Published: (2025)
Overlapping substitutions and tilings
by: Akiyama, Shigeki, et al.
Published: (2024)
by: Akiyama, Shigeki, et al.
Published: (2024)
Metallic mean Wang tiles I: self-similarity, aperiodicity and minimality
by: Labbé, Sébastien
Published: (2023)
by: Labbé, Sébastien
Published: (2023)
Metallic mean Wang tiles II: the dynamics of an aperiodic computer chip
by: Labbé, Sébastien
Published: (2024)
by: Labbé, Sébastien
Published: (2024)
An exceptional set of uniformly spread Kakutani tilings of the line
by: Smilansky, Yotam
Published: (2025)
by: Smilansky, Yotam
Published: (2025)
A general framework for quasi-isometries in symbolic dynamics beyond groups
by: Barbieri, Sebastián, et al.
Published: (2025)
by: Barbieri, Sebastián, et al.
Published: (2025)
Periodicity of joint co-tiles in $\mathbb{Z}^d$
by: Meyerovitch, Tom, et al.
Published: (2023)
by: Meyerovitch, Tom, et al.
Published: (2023)
Substitution tilings with transcendental inflation factor
by: Frettlöh, Dirk, et al.
Published: (2022)
by: Frettlöh, Dirk, et al.
Published: (2022)
Canonical projection tilings defined by patterns
by: Bédaride, Nicolas, et al.
Published: (2018)
by: Bédaride, Nicolas, et al.
Published: (2018)
Bounded remainder sets, bounded distance equivalent cut-and-project sets, and equidecomposability
by: Etkind, Mark Mordechai, et al.
Published: (2025)
by: Etkind, Mark Mordechai, et al.
Published: (2025)
An aperiodic monotile
by: Smith, David, et al.
Published: (2023)
by: Smith, David, et al.
Published: (2023)
A chiral aperiodic monotile
by: Smith, David, et al.
Published: (2023)
by: Smith, David, et al.
Published: (2023)
A counterexample to the periodic tiling conjecture
by: Greenfeld, Rachel, et al.
Published: (2022)
by: Greenfeld, Rachel, et al.
Published: (2022)
Turtles, Hats and Spectres: Aperiodic structures on a Rhombic tiling
by: Smith, James
Published: (2024)
by: Smith, James
Published: (2024)
Weak local rules for planar octagonal tilings
by: Bédaride, Nicolas, et al.
Published: (2015)
by: Bédaride, Nicolas, et al.
Published: (2015)
On the Many Faces of Easily Covered Polytopes
by: Florentin, Dan I., et al.
Published: (2024)
by: Florentin, Dan I., et al.
Published: (2024)
A Recognizable Substitution Rule for a 10-fold Symmetric Rhomb Tiling
by: Imura, Miki
Published: (2026)
by: Imura, Miki
Published: (2026)
Packing unequal disks in the Euclidean plane
by: Fernique, Thomas
Published: (2023)
by: Fernique, Thomas
Published: (2023)
Self-affinity of discs under glass-cut dissections
by: Richter, Christian
Published: (2024)
by: Richter, Christian
Published: (2024)
Brillouin Zones of Integer Lattices and Their Perturbations
by: Edelsbrunner, Herbert, et al.
Published: (2022)
by: Edelsbrunner, Herbert, et al.
Published: (2022)
Barnette Graphs with Faces up to Size 8 are Hamiltonian
by: Schnieders, Tobias
Published: (2025)
by: Schnieders, Tobias
Published: (2025)
Weighted Ehrhart Theory: Extending Stanley's nonnegativity theorem
by: Bajo, Esme, et al.
Published: (2023)
by: Bajo, Esme, et al.
Published: (2023)
Dynamics and topology of the Hat family of tilings
by: Baake, Michael, et al.
Published: (2023)
by: Baake, Michael, et al.
Published: (2023)
On the long-range order of the Spectre tilings
by: Baake, Michael, et al.
Published: (2024)
by: Baake, Michael, et al.
Published: (2024)
Bounded distance equivalence of cut-and-project sets and equidecomposability
by: Grepstad, Sigrid
Published: (2024)
by: Grepstad, Sigrid
Published: (2024)
Explicit solution of system of two higher-order recurrences
by: Németh, László, et al.
Published: (2024)
by: Németh, László, et al.
Published: (2024)
Correlations of the Thue--Morse sequence
by: Baake, Michael, et al.
Published: (2022)
by: Baake, Michael, et al.
Published: (2022)
Multifractal analysis of measures arising from random substitutions
by: Mitchell, Andrew, et al.
Published: (2023)
by: Mitchell, Andrew, et al.
Published: (2023)
Observations on the hex clusters of the Spectre tilings
by: Chéritat, Arnaud
Published: (2024)
by: Chéritat, Arnaud
Published: (2024)
Reptile trapezoids
by: Heo, Jin
Published: (2024)
by: Heo, Jin
Published: (2024)
Polyhedral combinatorics of bisectors
by: Jal, Aryaman, et al.
Published: (2023)
by: Jal, Aryaman, et al.
Published: (2023)
Generalized angle vectors, geometric lattices, and flag-angles
by: Backman, Spencer, et al.
Published: (2018)
by: Backman, Spencer, et al.
Published: (2018)
Convex pentagonal monotiles in the 15 Type families
by: Sugimoto, Teruhisa
Published: (2025)
by: Sugimoto, Teruhisa
Published: (2025)
Rauzy fractals of random substitutions
by: Gohlke, Philipp, et al.
Published: (2024)
by: Gohlke, Philipp, et al.
Published: (2024)
Orbit separation dimension as complexity measure for primitive inflation tilings
by: Baake, Michael, et al.
Published: (2023)
by: Baake, Michael, et al.
Published: (2023)
Colouring monohedral tilings: defects and grain boundaries
by: Alkauskas, Giedrius
Published: (2023)
by: Alkauskas, Giedrius
Published: (2023)
Rotationally symmetric tilings with convex pentagons belonging to both the Type 1 and Type 7 families
by: Sugimoto, Teruhisa
Published: (2020)
by: Sugimoto, Teruhisa
Published: (2020)
Borsuk and Vázsonyi problems through Reuleaux polyhedra
by: Lopez-Campos, Gyivan, et al.
Published: (2023)
by: Lopez-Campos, Gyivan, et al.
Published: (2023)
Constructing Toeplitz arrays via cut and project schemes
by: Cortez, María Isabel, et al.
Published: (2025)
by: Cortez, María Isabel, et al.
Published: (2025)
Radius-zero Extended Symmetries and Irregular Fibres of $\mathbb{Z}^d$-Substitution Subshifts
by: Bustos-Gajardo, Álvaro, et al.
Published: (2025)
by: Bustos-Gajardo, Álvaro, et al.
Published: (2025)
Similar Items
-
Sturmian lattices and Aperiodic tile sets
by: Akiyama, Shigeki, et al.
Published: (2025) -
Overlapping substitutions and tilings
by: Akiyama, Shigeki, et al.
Published: (2024) -
Metallic mean Wang tiles I: self-similarity, aperiodicity and minimality
by: Labbé, Sébastien
Published: (2023) -
Metallic mean Wang tiles II: the dynamics of an aperiodic computer chip
by: Labbé, Sébastien
Published: (2024) -
An exceptional set of uniformly spread Kakutani tilings of the line
by: Smilansky, Yotam
Published: (2025)