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arxiv: 1403.0251 · v1 · pith:LMDAYB2Knew · submitted 2014-03-02 · 🧮 math.MG · math.CO

Regular Polygonal Complexes of Higher Ranks in E³

classification 🧮 math.MG math.CO
keywords regularpolygonalcomplexesrankspaceapeirotopescannotcomplex
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The paper establishes that the rank of a regular polygonal complex in 3-space E^3 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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