New results on the regular polytopes and the theory of N-dimensional finite rotation group

Kaida Shi; Lizhuang Ma

New results on the regular polytopes and the theory of N-dimensional finite rotation group

Kaida Shi^*
, Lizhuang Ma

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Based on the research for the regular polytope, the theory of N-dimensional finite rotation group is developed, some new formulas, results and a new theorem are given. Especially, the methods for calculating the unit elements number (when N > 3) in both N-dimensional finite rotation group and its stability group are found. At the same time, correctness of new formulas and theorem are verified, the computer simulating results of the regular polytopes in E⁴ to E⁵ are presented.

Original language	English
Pages (from-to)	745-746
Number of pages	2
Journal	Progress in Natural Science: Materials International
Volume	9
Issue number	10
State	Published - Oct 1999
Externally published	Yes

Keywords

Cardinal of orbit
Computer simulating model
Finite rotation group
Regular polytopes
Stability group
Unit element numbers

Cite this

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title = "New results on the regular polytopes and the theory of N-dimensional finite rotation group",

abstract = "Based on the research for the regular polytope, the theory of N-dimensional finite rotation group is developed, some new formulas, results and a new theorem are given. Especially, the methods for calculating the unit elements number (when N > 3) in both N-dimensional finite rotation group and its stability group are found. At the same time, correctness of new formulas and theorem are verified, the computer simulating results of the regular polytopes in E4 to E5 are presented.",

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AU - Shi, Kaida

AU - Ma, Lizhuang

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N2 - Based on the research for the regular polytope, the theory of N-dimensional finite rotation group is developed, some new formulas, results and a new theorem are given. Especially, the methods for calculating the unit elements number (when N > 3) in both N-dimensional finite rotation group and its stability group are found. At the same time, correctness of new formulas and theorem are verified, the computer simulating results of the regular polytopes in E4 to E5 are presented.

AB - Based on the research for the regular polytope, the theory of N-dimensional finite rotation group is developed, some new formulas, results and a new theorem are given. Especially, the methods for calculating the unit elements number (when N > 3) in both N-dimensional finite rotation group and its stability group are found. At the same time, correctness of new formulas and theorem are verified, the computer simulating results of the regular polytopes in E4 to E5 are presented.

KW - Cardinal of orbit

KW - Computer simulating model

KW - Finite rotation group

KW - Regular polytopes

KW - Stability group

KW - Unit element numbers

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M3 - 文章

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SN - 1002-0071

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JO - Progress in Natural Science: Materials International

JF - Progress in Natural Science: Materials International

IS - 10

ER -

New results on the regular polytopes and the theory of N-dimensional finite rotation group

Abstract

Keywords

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