Christian Richter

collaborators

3 papers

math.CO2026

Self-affine quadrangles

Christian Richter, Felix Zimmermann

A quadrangle in the Euclidean plane is called $n$ -self-affine if it has a dissection into $n$ affine images of itself. All convex quadrangles are known to be $n$ -self-affine for ev…

math.MG2024

Canal Classes and Cheeger Sets

Nico Lombardi, Christian Richter, Eugenia SaorÃn GÃ³mez

Giannopoulos, Hartzoulaki and Paouris asked in \cite{GHP} whether the best ratio between volume and surface area of convex bodies sharing a given orthogonal projection onto a fixed…

math.CO2024

Self-affinity of discs under glass-cut dissections

Christian Richter

A topological disc is called $n$ -self-affine if it has a dissection into $n$ affine images of itself. It is called $n$ -gc-self-affine if the dissection is obtained by successive gl…