76 citations · 542 across the 72 of their papers we have counts for
77 papers
Pentagonal bipyramids lead to the smallest flexible embedded polyhedron
Matteo Gallet, Georg Grasegger, Jan Legerský +1
Steffen's polyhedron was believed to have the least number of vertices among polyhedra that can flex without self-intersections. Maksimov clarified that the pentagonal bipyramid wi…
Representing Piecewise-Linear Functions by Functions with Minimal Arity
Christoph Koutschan, Anton Ponomarchuk, Josef Schicho
Any continuous piecewise-linear function can be represented as a linear combination of functions of at most affine-linear functi…
Irreducible components of sets of points in the plane that satisfy distance conditions
Niels Lubbes, Mehdi Makhul, Josef Schicho +1
For a given graph whose edges are labeled with general real numbers, we consider the set of functions from the vertex set into the Euclidean plane such that the distance between th…
Phylogenetic Trees and the Moduli Space of n Points on the Projective Line
Herwig Hauser, Jiayue Qi, Josef Schicho
This is an expository paper. The geometry of phylogenetic trees is used to present in an accessible and pleasant fashion the results of Deligne, Mumford, and Knudsen about the modu…
Calibrating Figures
Niels Lubbes, Josef Schicho
It is known that a camera can be calibrated using three pictures of either squares, spheres, or surfaces of revolution. We give a new method to calibrate a camera with the picture…
Calligraphs and sphere realizations
Matteo Gallet, Georg Grasegger, Niels Lubbes +1
We introduce a recursive procedure for computing the number of realizations of a minimally rigid graph on the sphere up to rotations. We accomplish this by combining two ingredient…