Symmetry in Projection of 4-Dimensional Regular Polychora

Koji Miyazaki () and Motonaga Ishii ()
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Koji Miyazaki: Professor Emeritus of Kyoto University, Graphic Scientist, Architect, D.Eng.
Motonaga Ishii: Engineer of BANDAI NAMCO Research Inc., Computer Scientist, Physicist, PhD

A chapter in Complex Symmetries, 2021, pp 43-56 from Springer

Abstract: Abstract The ultimate end of this paper is to show the practical usefulness of symmetry seen in a projection of 4-dimensional polychora into 3- or 2-space. The main tools used for this purpose are familiar rotational and reflectional symmetry relating to the simple orthogonal and one-point perspective projections of regular polychora. As a result, some unique aperiodic planar patterns and spherical structures are derived.

Keywords: 4-dimensional space; Projection; Symmetry; Regular Polychora (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-88059-0_5

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DOI: 10.1007/978-3-030-88059-0_5

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