Sections of Coxeter Orbihedra

Year: 2016 Authors: Motiejus Valiunas; Emilio Zappa; Briony Thomas

Core claim

Coxeter orbihedra can be systematically sliced along symmetry-preserving hyperplanes to produce lower-dimensional sections with structured symmetry and visualizable scans.

Topics

high-dimensional geometry, Coxeter groups, polytopal sections, visualization, educational outreach

Domains

group theory, polytope theory, reflection groups, root systems, combinatorial geometry, mathematical visualization, public engagement, educational graphics

Methods

hyperplane slicing, orbit convex hulls, scan parameterization, face lattice analysis, symmetry reduction

Media

four-dimensional 120-cells, four-dimensional 600-cells, icosahedron, figures, animations

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.