A Computer Search for Planar Substitution Tilings with n-Fold Rotational Symmetry

被引：0

作者：

Gaehler, Franz ^{[1
]}

Kwan, Eugene E. ^{[2
]}

Maloney, Gregory R. ^{[3
]}

机构：

[1] Univ Bielefeld, Fak Math, Univ Str 25, D-33615 Bielefeld, Germany

[2] Harvard Univ, Dept Chem & Chem Biol, Cambridge, MA 02138 USA

[3] Newcastle Univ, Sch Math & Stat, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2015年 / 53卷 / 02期

关键词：

Polygon; Substitution; Tiling; Computer; RULES;

D O I：

10.1007/s00454-014-9659-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We describe a computer algorithm that searches for substitution rules on a set of triangles, the angles of which are all integer multiples of . We find new substitution rules admitting -fold rotational symmetry at many different inflation factors.

引用

页码：445 / 465

页数：21

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