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Regular Polygonal Complexes of Higher Ranks in E^3

Published 2 Mar 2014 in math.MG and math.CO | (1403.0251v1)

Abstract: The paper establishes that the rank of a regular polygonal complex in 3-space E3 cannot exceed 4, and that the only regular polygonal complexes of rank 4 in 3-space are the eight regular 4-apeirotopes.

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