# Wachspress Geometry

**Wachspress Geometry** is a young subject in the intersection of geometry, combinatorics and algebra. It is at the core of my SPP 2458 project *“Wachspress Coordinates – a bridge betwen Algebra, Geometry and Combinatorics”*.

Wachspress Geometry is …

- … the study of the
**Wachspress objects**, a somewhat mysterious family of constructions on convex polytopes. Those emerge in a wide range of seemingly unrelated contexts, and the goal is to explain and exploit these connections and to work towards a unifying explanation for the ubiquity of “Wachspress phenomena”. - … among the best understood instances of
**Positive Geometry**. The goal is to extend tools of Wachspress Geometry to more general positive geometries.

Perhaps you have already come across some construction from Wachspress Geometry, whether in the shape of a canonical form, a stress in a framework, a model in algebraic statistics, cone volumes or volume differentials.

Below I will write an introduction to Wachspress Geometry, coming soon …

If you are interested, Rainer Sinn and I are organizing a workshop “Wachspress Geometry” in Leipzig on September 24th/25th 2024.

more coming soon …