Displaying similar documents to “On some properties of explicit toric degenerations”

Conforming simplicial partitions of product-decomposed polytopes

Sergey Korotov, Jon Eivind Vatne (2025)

Applications of Mathematics

Similarity:

We propose some approaches for the generation of conforming simplicial partitions with various regularity properties for polytopic domains that are products or a union of products, thus generalizing our earlier results. The techniques presented can be used for finite element simulations of higher-dimensional problems.

Rigidity and flexibility of virtual polytopes

G. Panina (2003)

Open Mathematics

Similarity:

All 3-dimensional convex polytopes are known to be rigid. Still their Minkowski differences (virtual polytopes) can be flexible with any finite freedom degree. We derive some sufficient rigidity conditions for virtual polytopes and present some examples of flexible ones. For example, Bricard's first and second flexible octahedra can be supplied by the structure of a virtual polytope.