Construction of Polyhedra with Tetravalent Nodes as an Analogue to Graphitic Systems

Year: 2023 Authors: Hou-Hsun Ho; Yung-Hsi Chang; Chern Chuang; Bih-Yaw Jin

Core claim

A trivalent-style construction method can be adapted to square-lattice tetravalent systems to systematically generate tetravalent Goldberg polyhedra and toroidal polyhedra.

Topics

tetravalent polyhedra, Goldberg polyhedra, toroidal structures, Euler-Poincaré formula, bead models

Domains

topology, polyhedral geometry, graph theory, Euler characteristic, scientific visualization, 3D modeling, structural design

Methods

construction scheme, boundary-vector parametrization, mitering tubes, index classification

Media

computer-generated 3D images, bead models, paper figures

Source status

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