Geometric Realizations of the Abstract Platonic Polyhedra

• Main Author: Loyola, Mark
• Format: text
• Published: Archīum Ateneo 2024
• Subjects: Geometry and Topology; Mathematics; Physical Sciences and Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/250; https://doi.org/10.1063/5.0192096
• Institution: Ateneo De Manila University

The abstract Platonic polyhedra are the abstract regular 3-polytopes whose automorphism groups are the string C-groups of rank 3 arising from the finite irreducible Coxeter groups A3, B3, and H3. The objective of this work is to construct geometric realizations of these abstract polyhedra in the Euc...