1 citations · 1 across the 6 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.MG2020
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…
math.CO2020
Coprime Ehrhart theory and counting free segments
Sebastian Manecke, Raman Sanyal
A lattice polytope is "free" (or "empty") if its vertices are the only lattice points it contains. In the context of valuation theory, Klain (1999) proposed to study the functions…
math.CO2020
Angle sums of simplicial polytopes
Sebastian Manecke
The interior angle vector (-vector) of a polytope is a metric analogue of the -vector in which faces are weighted by their solid angle. For simplicial polytopes, Dehn…