2 papers
math.MG2022
Towards a Geometric Understanding of the 4-Dimensional Point Groups
Laith Rastanawi, Günter Rote
We classify the finite groups of orthogonal transformations in 4-space, and we study these groups from the viewpoint of their geometric action, using polar orbit polytopes. For one…
math.MG2020
On the Dimensions of the Realization Spaces of Polytopes
Laith Rastanawi, Rainer Sinn, Günter M. Ziegler
Robertson (1988) suggested a model for the realization space of a convex d-dimensional polytope and an approach via the implicit function theorem, which -- in the case of a full ra…