8 citations · 19 across the 13 of their papers we have counts for
5 papers · 1 filter
On the Average Complexity of the -Level
Man-Kwun Chiu, Stefan Felsner, Manfred Scheucher +3
Let be an arrangement of lines in the Euclidean plane. The \emph{-level} of consists of all vertices of the arrangement which have exactly line…
Equipartitions with Wedges and Cones
Patrick Schnider
A famous result about mass partitions is the so called \emph{Ham-Sandwich theorem}. It states that any mass distributions in can be simultaneously bisected by a…
Bisecting three classes of lines
Alexander Pilz, Patrick Schnider
We consider the following problem: Let be an arrangement of lines in colored red, green, and blue. Does there exist a vertical plane such that…
Sharing a pizza: bisecting masses with two cuts
Luis Barba, Alexander Pilz, Patrick Schnider
Assume you have a pizza consisting of four ingredients (e.g., bread, tomatoes, cheese and olives) that you want to share with your friend. You want to do this fairly, meaning that…
Ham-Sandwich cuts and center transversals in subspaces
Patrick Schnider
The Ham-Sandwich theorem is a well-known result in geometry. It states that any mass distributions in can be simultaneously bisected by a hyperplane. The result…