Pentaplexity A Class of Non-Periodic Tilings of the Plane

1979/03/01 by Roger Penrose, R. Penrose · 1 voice · 12 citations
Computer Science · Engineering · Materials Science · #Cellular Automata and Applications #Quasicrystal Structures and Properties #graph theory and CDMA systems

paper · doi:10.1007/bf03024384

openalex publication_date 1979/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Cited by

• Penrose tilings, infinite friezes, and the A_∞-singularity
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• Exact eigenstates of tight-binding Hamiltonians on the Penrose tiling
• An aperiodic tiling made of one tile, a triangle
• Reframing Pattern: A Comprehensive Approach to a Composite Visual Variable
• Optimally dense packings of hyperbolic space
• Observation of Magnetic Devil's Staircase-Like Behavior in Quasiperiodic Qubit Lattices
• Non-Robustness of the Zero-Temperature-Limit Gibbs Measures to Perturbations of the Potential
• Pattern Complexity of Aperiodic Substitutive Subshifts
• Direct Imaging of Complex Spin Ice Behavior and Ordered Sublattices in Artificial Ferromagnetic Quasicrystals
• Properties of Böröczki tilings in high dimensional hyperbolic spaces
• Grout: A 1-Dimensional Substitution Tiling Space Program

Discussions

• Penrose, R. Pentaplexity A Class of Non-Periodic Tilings of the Plane. The Mathematical Intelligencer 2, 32–37 (1979). doi.org/10.1007/BF03... [bsky, 0 points, 1 comments]