The Fibonacci-Penrose semigroup formalism and morphogenetic synthesis of quasicrystal mosaics

DOI10.1007/s11232-011-0039-5zbMath1282.52016OpenAlexW2054821987MaRDI QIDQ376924

E. S. Startzev, I. G. Permyakova, V. V. Yudin

Publication date: 6 November 2013

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-011-0039-5

zbMATH Keywords

inverse semigroupsmorphogenesisbihexagonal latticeFibonacci generatorPenrose generatorquasicrystal mosaicssquare-octagonal lattice

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Inverse semigroups (20M18) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (1)

The Fibonacci fractal is a new fractal type

Cites Work

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• Percolation of entropy functionals on Cayley tree graphs as a method of order-disorder character diagnostics of complex structures
• Entropic measure of the order-disorder character in lattice systems in the representation of coordination Cayley tree graphs

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