Cover Image

A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Imura, Miki
Format:	Preprint
Published:	2025
Subjects:	Combinatorics 52C20, 05B45
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A Recognizable Substitution Rule for a 10-fold Symmetric Rhomb Tiling
by: Imura, Miki
Published: (2026)

Double Tiles
by: Beluhov, Nikolai
Published: (2024)

Tiling Triangles with $2π/3$ Angles
by: Zhang, Yan X
Published: (2025)

Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles
by: Shu, Junjie, et al.
Published: (2024)

The Pattern Complexity of the Squiral Tiling
by: Nilsson, Johan
Published: (2024)

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle
by: Chen, Wen, et al.
Published: (2025)

Dihedral Tilings of the Sphere by Regular Polygons and Quadrilaterals II: Regular Polygons with High Gonality and Rhombi
by: Cheung, Ho Man, et al.
Published: (2024)

Dihedral Tilings of the Sphere by Regular Polygons and Quadrilaterals I: Squares and Rhombi
by: Luk, Hoi Ping
Published: (2024)

Tiling the Sphere with Regular Polygons
by: Luk, Hoi Ping, et al.
Published: (2025)

Generalization of Square Tiling Properties via Linear Algebra
by: Perrier, Paul
Published: (2026)

Dihedral Tilings of the Sphere by Regular Polygons and Quadrilaterals I: Quadrilaterals with Equal Opposite Edges
by: Luk, Hoi Ping
Published: (2024)

Tilings of the Sphere by Congruent Quadrilaterals or Triangles
by: Cheung, Ho Man, et al.
Published: (2022)

The Domino Problem of the Hyperbolic Plane for Regular Polygons
by: Maiti, Arun
Published: (2023)

The minimum length of an axis-aligned rectangular tiling of a flat torus
by: Lin, Hau-Yi, et al.
Published: (2026)

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles
by: Maiti, Arun
Published: (2026)

Tilings of the Sphere by Congruent Pentagons IV: Edge Combination $a^4b$
by: Luk, Hoi Ping, et al.
Published: (2023)

Fragmenting any Parallelepiped into a Signed Tiling
by: Doolittle, Joseph, et al.
Published: (2023)

Colouring monohedral tilings: defects and grain boundaries
by: Alkauskas, Giedrius
Published: (2023)

A $σ$-morphic convex protoset
by: Džuklevski, Aleksa
Published: (2025)

A self-avoiding curve associated with sums of digits
by: Oger, Francis
Published: (2025)

Building with Blocks: Enumerating Polyforms on Tilings
by: Dobbelaere, Bert, et al.
Published: (2026)

Slab tilings, flips and the triple twist
by: Alencar, George L. D., et al.
Published: (2024)

Undecidability of Tiling the Plane with a Set of 5 Polyominoes
by: Kim, Yoonhu
Published: (2025)

Dihedral f-Tilings of the Sphere Induced by the Möbius Triangle $(2,3,4)$
by: Avelino, Catarina, et al.
Published: (2024)

Hexagonal Tiling of the Plane
by: Zhu, Ze, et al.
Published: (2025)

Fully Leafed Induced Subtrees in Penrose P2 Tilings
by: Cloutier, Mathieu, et al.
Published: (2026)

Penrose P2 Tilings: A Study of Fully Leafed Induced Subtrees
by: Cloutier, Mathieu, et al.
Published: (2026)

The Pattern Complexity of the Sierpiński Triangle
by: Nilsson, Johan
Published: (2025)

The Pattern Complexity of the 2-Dimensional Paperfolding Sequence
by: Nilsson, Johan
Published: (2024)

Colouring isonemal fabrics with more than two colours and non-twilly redundancy
by: Thomas, Robert S. D.
Published: (2024)

Factorization of Finite Cyclic Group $\Bbb Z_{(pqr)^2}$: Szabó Pairs and Full Tiling Structures
by: Dai, Xin-Rong
Published: (2026)

Perfect precise colorings of plane semiregular tilings
by: Loquias, Manuel Joseph C., et al.
Published: (2023)

Two-edge-connected (not necessarily spanning) subgraphs and polyhedra
by: Bruckamp, Justus, et al.
Published: (2024)

The number of edges of a symmetric edge polytope
by: Codenotti, Giulia, et al.
Published: (2025)

Self-affinity of discs under glass-cut dissections
by: Richter, Christian
Published: (2024)

Integer Area Dissections of Lattice Polygons via a Non-Abelian Sperner's Lemma
by: Abrams, Aaron, et al.
Published: (2024)

Finite-state transducers for substitution tilings
by: Tatham, Simon
Published: (2025)

Hypergraphic zonotopes and acyclohedra
by: Pohoata, Cosmin, et al.
Published: (2025)

Ehrhart Theory over Abelian Group Rings
by: Davis, Robert, et al.
Published: (2025)

Sharp isoperimetric inequalities for infinite plane graphs with bounded vertex and face degrees
by: Oh, Byung-Geun
Published: (2020)