Christian Richter

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20222025

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math.CO2025

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.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…

math.CO2022

Covering rectangles by few monotonous polyominoes

Christian Richter

A monotonous polyomino is formed by all lattice unit squares met by the graph of some fixed monotonous continuous function $f : [a, b] \to R$ with $f (k) \in / Z$ wh…