Regular Polygonal Complexes of Higher Ranks in E³

Abstract

The paper establishes that the rank of a regular polygonal complex in E³ cannot exceed 4, and that the only regular polygonal complexes of rank 4 in E³ are the eight regular 4-apeirotopes in E³ . The article is published in the author’s wording.

Keywords

• полигональные комплексы
• абстрактные многогранники
• регулярность