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- W2913294107 abstract "The class of Cyclotomic Aperiodic Substitution Tilings (CAST) whose vertices are supported by the $2n$-th cyclotomic field $mathbb{Q}left(zeta_{2n}right)$ is extended to cases with Dense Tile Orientations (DTO). It is shown that every CAST with DTO has an inflation multiplier $eta$ with irrational argument so that $frac{kpi}{2n}neqargleft(etaright)notinmathbb{pi Q}$. The minimal inflation multiplier $eta_{min.irr.}$ is discussed for $ngeqq2$. Examples of CASTs with DTO, minimal inflation multiplier $eta_{min.irr.}$ and individual dihedral symmetry $D_{2n}$ are introduced for $ninleft{ 2,3,4,5,6,7right} $. The examples for $ninleft{ 2,3,4,5,6right} $ also yield finite local complexity (FLC)." @default.
- W2913294107 created "2019-02-21" @default.
- W2913294107 creator A5047188818 @default.
- W2913294107 date "2019-01-22" @default.
- W2913294107 modified "2023-09-27" @default.
- W2913294107 title "Cyclotomic Aperiodic Substitution Tilings with Dense Tile Orientations" @default.
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