SOOLGA JO

A Defect–Convexity Filtration for Regular-Simplex-Faceted Polytopes: Exact spectra, gaps, re-entry, and quantitative realization thresholds

We propose a two-parameter framework for organizing convex polytopes whose facets are regular simplices or controlled perturbations thereof. The framework separates metric regularity of the edge set from strict convexity of the gluing. For a convex simplicial polytope P, we intro...

A Defect–Convexity Filtration for Regular-Simplex-Faceted Polytopes: Exact spectra, gaps, re-entry, and quantitative realization thresholds

We propose a two-parameter framework for organizing convex polytopes whose facets are regular simplices or controlled perturbations thereof. The framework separates metric regularity of the edge set from strict convexity of the gluing. For a convex simplicial polytope P, we intro...