Vertex-Facet Assignments For Polytopes
share
For polytopes in R^d with at least as many facets as vertices, we prove that vertices can be mapped injectively to non-incident facets when 1≤ d≤ 5 and give counterexamples for d≥ 7.
READ FULL TEXTFor polytopes in R^d with at least as many facets as vertices, we prove that vertices can be mapped injectively to non-incident facets when 1≤ d≤ 5 and give counterexamples for d≥ 7.
READ FULL TEXT