The theory of polyhedral surfaces and, more generally, the field of discrete differential
geometry are presently emerging on the border of differential and discrete geometry …

The subject of Discrete Geometry and Convex Polytopes has received much attention in
recent decades, with an explosion of the work in the field. This book is an introduction …

A bstract We study 4d superconformal indices for a large class of\(\mathcal {N}= 1\)
superconformal quiver gauge theories realized combinatorially as a bipartite graph or a set …

The Faddeev–Volkov solution of the star-triangle relation is connected with the modular
double of the quantum group Uq (sl2). It defines an Ising-type lattice model with positive …

Conformal geometry is at the core of pure mathematics. Conformal structure is more flexible
than Riemaniann metric but more rigid than topology. Conformal geometric methods have …

We use a variational principle to prove an existence and uniqueness theorem for planar
weighted Delaunay triangulations (with non-intersecting site-circles) with prescribed …

Mesh parameterization is a fundamental technique in computer graphics. Our paper focuses
on solving the problem of finding the best discrete conformal mapping that also minimizes …

A circle pattern is a configuration of circles in the plane whose combinatorics is given by a
planar graph G such that to each vertex of G corresponds a circle. If two vertices are …

For n≥ 3 distinct points in the d-dimensional unit sphere there exists a Möbius
transformation such that the barycenter of the transformed points is the origin. This Möbius …

In the search for appropriate discretizations of surface theory it is crucial to preserve
fundamental properties of surfaces such as their invariance with respect to transformation …