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Title: Stereographic Visualization of 5-Dimensional Regular Polytopes
Authors: Wang, Xingchang
Yu, Tao
Chung, Kwokwai
Gdawiec, Krzysztof
Ouyang, Peichang
Keywords: five-dimensional regular polytopes; fundamental root systems; stereographic projection; kaleidoscope principle
Issue Date: 2019
Citation: Symmetry, Vol. 11, iss. 3 (2019), 391
Abstract: Regular polytopes (RPs) are an extension of 2D (two-dimensional) regular polygons and 3D regular polyhedra in n-dimensional (n≥4) space. The high abstraction and perfect symmetry are their most prominent features. The traditional projections only show vertex and edge information. Although such projections can preserve the highest degree of symmetry of the RPs, they can not transmit their metric or topological information. Based on the generalized stereographic projection, this paper establishes visualization methods for 5D RPs, which can preserve symmetries and convey general metric and topological data. It is a general strategy that can be extended to visualize n-dimensional RPs (n>5).
DOI: 10.3390/sym11030391
ISSN: 2073-8994
Appears in Collections:Artykuły (WNŚiT)

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