Factorization of Platonic Polytopes into canonical spheres

Abstract

Factorization into spheres is achieved for skeleta of the simplex, cube, and cross-polytope, both explicitly and using Keevash's proof of existence of designs.

arXiv comment5 pages, 1 figure

References in corpus (3)

• The existence of designs
• A new view of hypercube genus
• Partitioning the triangles of the cross polytope into surfaces