Norbert Hungerbühler

collaborators

3 papers

math.DG2025

Poncelet Curves

Norbert HungerbÃ¼hler, Micha Wasem

We examine pairs of closed plane curves that have the same closing property as two conic sections in Poncelet's porism. We show how the vertex curve can be computed for a given env…

math.GM2025

Closing Theorems for Circle Chains

Norbert HungerbÃ¼hler

We consider closed chains of circles $C_{1}, C_{2}, \dots, C_{n}, C_{n + 1} = C_{1}$ such that two neighbouring circles $C_{i}, C_{i + 1}$ intersect or touch each other with $A_{i}$ being a common point…

math.NT2024

Pairing Powers of Pythagorean Pairs

Lorenz Halbeisen, Norbert HungerbÃ¼hler, Arman Shamsi Zargar

A pair $(a, b)$ of positive integers is a pythagorean pair if $a^{2} + b^{2}$ is a square. A pythagorean pair $(a, b)$ is called a pythapotent pair of degree $h$ if there is another py…