On substitution tilings of the plane with n-fold rotational symmetry

被引：0

作者：

Maloney, Gregory R. ^{[1
]}

机构：

[1] Newcastle Univ, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

来源：

DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE | 2015年 / 17卷 / 01期

关键词：

Rhombs; Tiling; Algorithm; PATTERNS; ORDER;

D O I：

暂无

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A method is described for constructing, with computer assistance, planar substitution tilings that have n-fold rotational symmetry. This method uses as prototiles the set of rhombs with angles that are integer multiples of pi/n, and includes various special cases that have already been constructed by hand for low values of n. An example constructed by this method for n = 11 is exhibited; this is the first substitution tiling with elevenfold symmetry appearing in the literature.

引用

页码：397 / 414

页数：18

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