How to decide whether two convex octahedra are affinely equivalent using their natural developments only

Abstract

Given two convex octahedra in Euclidean 3-space, we find conditions on their natural developments which are necessary and sufficient for these octahedra to be affinely equivalent to each other.

10 pages, 1 figure

Cited by in corpus (2)

• Recognition of affine-equivalent polyhedra by their natural developments
• On the existence of two affine-equivalent frameworks with prescribed edge lengths in Euclidean $d$-space