Hyperbolic Icosahedral Tilings by Buckyballs

被引：0

作者：

Lueck, R. ^{[1
]}

Frettloeh, D. ^{[1
]}

机构：

[1] Univ Bielefeld, Tech Fac, D-33501 Bielefeld, Germany

来源：

ACTA PHYSICA POLONICA A | 2014年 / 126卷 / 02期

关键词：

COLORS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Hyperbolic icosabedral filings by Hockyballs with 4 or 8 Buckyballs sharing a vertex are considered as an example of tilings by Archimedean polyhedra. Representation requires Poincare balls; colour symmetry may be derived by GAP. Colour symmetries preserving both rotation and reflection symmetry as well as only rotation symmetry are discussed.

引用

页码：524 / 526

页数：3

共 9 条

[1]

[Anonymous], GAP SYST COMP DISCR

[2] Combinatorial aspects of colour symmetries [J].

Baake, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (08) :2687-2698

[3]

de las Penas M.L.A.N., 2010, Z KRISTALLOGR, V225, P313

[4]

de las Penas M.L.A.N., 2011, PHILOS MAG, V91, P2700

[5]

de las Penas M.L.A.N., 2006, Z KRISTALLOGR, V221, P665

[6] Counting perfect colourings of plane regular tilings [J].

Frettloeh, Dirk .

ZEITSCHRIFT FUR KRISTALLOGRAPHIE, 2008, 223 (11-12) :773-776

[7]

Humphreys Jamesa E, 2012, Cambridge Studies in Advanced Mathematics: Reflection Groups and Coxeter Groups Series, V29

[8] Colour symmetry of 25 colours in quasiperiodic patterns [J].

Lueck, R. .

PHILOSOPHICAL MAGAZINE, 2008, 88 (13-15) :2049-2058

[9] Ten colours in quasiperiodic and regular hyperbolic tilings [J].

Lueck, Reinhard ;

Frettloeh, Dirk .

ZEITSCHRIFT FUR KRISTALLOGRAPHIE, 2008, 223 (11-12) :782-784

← 1 →