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The isoperimetric problem for pinwheel tilings

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Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4613-8734-3openalex-snapshot
Percolation Theory and Ergodic Theory of Infinite Particle Systems
inferredcites →https://doi.org/10.1007/bf01266317openalex-snapshot
Space tilings and substitutions
inferredcites →https://doi.org/10.1007/bf02098297openalex-snapshot
Are there chaotic tilings?
inferredcites →https://doi.org/10.1090/s0002-9904-1978-14499-1openalex-snapshot
Crystalline variational problems
inferredcites →https://doi.org/10.1090/s0273-0979-1991-16077-5openalex-snapshot
Global order from local sources
inferredcites →https://doi.org/10.1142/0391openalex-snapshot
The Physics of Quasicrystals
inferredcites →https://doi.org/10.2307/2118575openalex-snapshot
The Pinwheel Tilings of the Plane

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/nme.1598openalex-snapshot
Spatial convergence of crack nucleation using a cohesive finite-element model on a pinwheel-based mesh
inferred← citeshttps://doi.org/10.1002/nme.2943openalex-snapshot
Adaptive dynamic cohesive fracture simulation using nodal perturbation and edge‐swap operators
inferred← citeshttps://doi.org/10.1002/nme.4744openalex-snapshot
Reduction in mesh bias for dynamic fracture using adaptive splitting of polygonal finite elements
inferred← citeshttps://doi.org/10.1007/978-94-015-8784-6_19openalex-snapshot
Aperiodic Tilings, Ergodic Theory, and Rotations
inferred← citeshttps://doi.org/10.1007/pl00009430openalex-snapshot
Quasicrystals and the Wulff-Shape
inferred← citeshttps://doi.org/10.1007/s00208-019-01819-2openalex-snapshot
Spaces with almost Euclidean Dehn function
inferred← citeshttps://doi.org/10.1007/s00283-025-10461-7openalex-snapshot
Growth Forms of Tilings
inferred← citeshttps://doi.org/10.1007/s10704-015-0013-6openalex-snapshot
Meshing strategies for the alleviation of mesh-induced effects in cohesive element models
inferred← citeshttps://doi.org/10.1007/s11047-025-10017-wopenalex-snapshot
Polygonal corona limit on multigrid dual tilings
inferred← citeshttps://doi.org/10.1016/j.comgeo.2015.04.005openalex-snapshot
Near-linear-time deterministic plane Steiner spanners for well-spaced point sets
inferred← citeshttps://doi.org/10.1107/s2053273322003485openalex-snapshot
Growth forms of grid tilings
inferred← citeshttps://doi.org/10.1137/040611343openalex-snapshot
An Algorithm for Two‐Dimensional Mesh Generation Based on the Pinwheel Tiling
inferred← citeshttps://doi.org/10.2514/6.2012-1536openalex-snapshot
On the mesh dependency of cohesive zone models for crack propagation analysis
inferred← citeshttps://doi.org/10.48550/arxiv.1206.2254openalex-snapshot
Near-Linear-Time Deterministic Plane Steiner Spanners and TSP Approximation for Well-Spaced Point Sets
inferred← citeshttps://doi.org/10.70675/2a1f09d1z9290z4a55zb2abze02bff37a4c2openalex-snapshot
Modélisation micromécanique de l’endommagement ductile par une approche cohésive-volumique : application à l’UO2 irradié.
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