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Modelirovanie i Analiz Informatsionnykh Sistem, 2013, Volume 20, Number 6, Pages 103–110
(Mi mais346)
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Regular Polygonal Complexes of Higher Ranks in $\mathbb{E}^3$
Egon Schulte Northeastern University, Department of Mathematics,
360 Huntington Avenue, Boston, MA 02115, USA
Abstract:
The paper establishes that the rank of a regular polygonal complex in $\mathbb{E}^3$ cannot exceed $4$, and that the only regular polygonal complexes of rank $4$ in $\mathbb{E}^3$ are the eight regular $4$-apeirotopes in $\mathbb{E}^3$.
The article is published in the author's wording.
Keywords:
polygonal complex, abstract polytopes, regularity.
Received: 15.10.2013
Citation:
Egon Schulte, “Regular Polygonal Complexes of Higher Ranks in $\mathbb{E}^3$”, Model. Anal. Inform. Sist., 20:6 (2013), 103–110
Linking options:
https://www.mathnet.ru/eng/mais346 https://www.mathnet.ru/eng/mais/v20/i6/p103
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Abstract page: | 290 | Full-text PDF : | 61 | References: | 43 |
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