Regular Polygonal Complexes of Higher Ranks in E³

Modelirovanie i Analiz Informacionnyh Sistem. 2013;20(6):103-110 DOI d

 

Journal Homepage

Journal Title: Modelirovanie i Analiz Informacionnyh Sistem

ISSN: 1818-1015 (Print); 2313-5417 (Online)

Publisher: Yaroslavl State University

Society/Institution: P.G. Demidov Yaroslavl State University

LCC Subject Category: Technology: Technology (General): Industrial engineering. Management engineering: Information technology

Country of publisher: Russian Federation

Language of fulltext: Russian, English

Full-text formats available: PDF

 

AUTHORS

Egon Schulte (Северо-Восточный университет США)

EDITORIAL INFORMATION

Double blind peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 8 weeks

 

Abstract | Full Text

<p>The paper establishes that the rank of a regular polygonal complex in E<span style="line-height: 150%; font-family: 'Calibri','sans-serif'; font-size: 11pt; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: RU; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">³</span> cannot exceed 4, and that the only regular polygonal complexes of rank 4 in E<span style="line-height: 150%; font-family: 'Calibri','sans-serif'; font-size: 11pt; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: RU; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">³</span> are the eight regular 4-apeirotopes in E<span style="line-height: 150%; font-family: 'Calibri','sans-serif'; font-size: 11pt; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: RU; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">³</span> . The article is published in the author’s wording.</p>