Non-periodic rhomb substitution tilings that admit order n rotational symmetry

被引：0

作者：

Harriss, EO ^{[1
]}

机构：

[1] Univ London, Queen Mary, London E1 4N5, England

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2005年 / 34卷 / 03期

关键词：

D O I：

10.1007/s00454-005-1175-1

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

For each n is an element of N we construct a substitution rule using the set of rhombs with angles (pi k)/n. These substitution rules generate a local isomorphism class of tilings closed under rotation of order 2n, and also admit singular tilings fixed under a rotation of order n. The scaling factors for this set of substitution rules includes algebraic numbers of every rank.

引用

页码：523 / 536

页数：14

共 50 条

[1] Non-Periodic Rhomb Substitution Tilings that Admit Order n Rotational Symmetry
E. O. Harriss
Discrete & Computational Geometry, 2005, 34 : 523 - 536
[2] Non-periodic Tilings of ℝn by Crosses
Peter Horak
Bader AlBdaiwi
Discrete & Computational Geometry, 2012, 47 : 1 - 16
[3] On non-periodic 3-Archimedean tilings with 6-fold rotational symmetry
Kinoshita, Naoko
Komatsu, Kazushi
HIROSHIMA MATHEMATICAL JOURNAL, 2015, 45 (02) : 137 - 146
[4] On substitution tilings of the plane with n-fold rotational symmetry
Maloney, Gregory R.
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 2015, 17 (01): : 397 - 414
[5] QUASI-PERIODIC TILINGS WITH LOW-ORDER ROTATIONAL SYMMETRY
CLARK, DS
SURYANARAYAN, ER
ACTA CRYSTALLOGRAPHICA SECTION A, 1991, 47 : 498 - 502
[6] Non-periodic Tilings of Rn by Crosses
Horak, Peter
AlBdaiwi, Bader
DISCRETE & COMPUTATIONAL GEOMETRY, 2012, 47 (01) : 1 - 16
[7] On Non-Periodic Tilings of the Real Line by a Function
Kolountzakis, Mihail N.
Lev, Nir
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2016, 2016 (15) : 4588 - 4601
[8] A Computer Search for Planar Substitution Tilings with n-Fold Rotational Symmetry
Gaehler, Franz
Kwan, Eugene E.
Maloney, Gregory R.
DISCRETE & COMPUTATIONAL GEOMETRY, 2015, 53 (02) : 445 - 465
[9] Substitution tilings with dense tile orientations and n-fold rotational symmetry
Frettloeh, D.
Say-awen, A. L. D.
De Las Penas, M. L. A. N.
INDAGATIONES MATHEMATICAE-NEW SERIES, 2017, 28 (01): : 120 - 131
[10] Substitution Discrete Plane Tilings with 2n-Fold Rotational Symmetry for Odd n
Kari, Jarkko
Lutfalla, Victor H.
DISCRETE & COMPUTATIONAL GEOMETRY, 2023, 69 (02) : 349 - 398

← 1 2 3 4 5 →