Convex polytopes, dihedral angles, mean curvature and scalar curvature
This deep and interesting paper derives lower bounds on the dihedral angles of polytopes in \(\mathbb{R}^d\) by applying techniques from differential geometry to smooth approximating bodies, and constructs some interesting examples of polytopes with nontrivial upper bounds on their dihedral angles.\N\NThe reader is warned that the notation is sometimes nonconventional (\textit{e.g.}, bullet points with subscripts) and challenging to follow (both the regular hexagon and the regular octagon appear as symbols, at a point size that makes them hard to distinguish.) The word ``complement[ary]'' is used where ``supplement[ary]'' would be customary.
scientific article; zbMATH DE number 7931803
scientific article