Skeletal Geometric Complexes and Their Symmetries

Egon Schulte; Asia Ivić Weiss

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arXiv · 1610.02619

Skeletal Geometric Complexes and Their Symmetries

Egon Schulte·Asia Ivić Weiss

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Abstract

Skeletal polyhedra and polygonal complexes are finite or infinite periodic structures in 3-space with interesting geometric, combinatorial, and algebraic properties. These structures can be viewed as finite or infinite periodic graphs (nets) equipped with a polyhedral superstructure imposed by the faces, allowed to be skew, zigzag, or helical. The article describes skeletal structures with maximal symmetry.

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Egon Schulte, Asia Ivić Weiss. 2016-10-09. Skeletal Geometric Complexes and Their Symmetries. https://arxiv.org/abs/1610.02619

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