Cyclotomic Aperiodic Substitution Tilings

Cyclotomic Aperiodic Substitution Tilings

The class of Cyclotomic Aperiodic Substitution Tilings (CASTs) is introduced. Its vertices are supported on the 2 n -th cyclotomic field. It covers a wide range of known aperiodic substitution tilings of the plane with finite rotations. Substitution matrices and minimal inflation multipliers...

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Bibliographic Details
Main Author: Stefan Pautze
Format: Article
Language:English
Published: MDPI AG 2017-01-01
Series:Symmetry
Subjects:
cyclotomic aperiodic substitution tiling
discrete metric geometry
quasiperiodic
nonperiodic
minimal inflation multiplier
minimal scaling factor
substitution matrix
Girih tiling
Online Access:http://www.mdpi.com/2073-8994/9/2/19

Internet

http://www.mdpi.com/2073-8994/9/2/19

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