Nested Polytopes with Non-Crystallographic Symmetry Induced by Projection

Year: 2015 Authors: Briony Thomas; Reidun Twarock; Motiejus Valiunas; Emilio Zappa

Core claim

Higher-dimensional projection of lattice points can generate nested polytopes with non-crystallographic symmetry useful for scientific visualization and design.

Topics

nested polytopes, non-crystallographic symmetry, projection methods, virus and fullerene geometry

Domains

group theory, polytope geometry, quasicrystals, Coxeter groups, computational art, design geometry, scientific visualization, architecture

Methods

cut-and-project method, higher-dimensional projection, numerical computation, orbit construction

Media

Python, PyMol, polyhedral models, geometric diagrams

Source status

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