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Open AccessArticle

Aesthetic Patterns with Symmetries of the Regular Polyhedron

1
School of Mathematics & Physics, Jinggangshan University, Ji’an 343009, China
2
School of Water Conservancy and Electric Power, Hebei University of Engineering, Handan 056021, China
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Author to whom correspondence should be addressed.
Academic Editor: Egon Schulte
Symmetry 2017, 9(2), 21; https://doi.org/10.3390/sym9020021
Received: 14 December 2016 / Revised: 18 January 2017 / Accepted: 22 January 2017 / Published: 3 February 2017
(This article belongs to the Special Issue Polyhedral Structures)
A fast algorithm is established to transform points of the unit sphere into fundamental region symmetrically. With the resulting algorithm, a flexible form of invariant mappings is achieved to generate aesthetic patterns with symmetries of the regular polyhedra. View Full-Text
Keywords: regular polyhedra; reflection group; fundamental region; invariant mapping regular polyhedra; reflection group; fundamental region; invariant mapping
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MDPI and ACS Style

Ouyang, P.; Wang, L.; Yu, T.; Huang, X. Aesthetic Patterns with Symmetries of the Regular Polyhedron. Symmetry 2017, 9, 21.

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