2 papers
math.CO2024
Generalized angle vectors, geometric lattices, and flag-angles
Spencer Backman, Sebastian Manecke, Raman Sanyal
Interior and exterior angle vectors of polytopes capture curvature information at faces of all dimensions and can be seen as metric variants of -vectors. In this context, Gram's…
math.MG2024
Inscribable fans I: Inscribed cones and virtual polytopes
Sebastian Manecke, Raman Sanyal
We investigate polytopes inscribed into a sphere that are normally equivalent (or strongly isomorphic) to a given polytope . We show that the associated space of polytopes, call…