4 papers
Tropical Carathéodory with Matroids
Georg Loho, Raman Sanyal
Bárány's colorful generalization of Carathéodory's Theorem combines geometrical and combinatorial constraints. Kalai-Meshulam (2005) and Holmsen (2016) generalized Bárány's theorem…
Tropical Ehrhart Theory and Tropical Volume
Georg Loho, Matthias Schymura
We introduce a novel intrinsic volume concept in tropical geometry. This is achieved by developing the foundations of a tropical analog of lattice point counting in polytopes. We e…
MatchTheNet -- An Educational Game on 3-Dimensional Polytopes
Michael Joswig, Georg Loho, Benjamin Lorenz +1
We present an interactive game which challenges a single player to match 3-dimensional polytopes to their planar nets. It is open source, and it runs in standard web browsers
Signed tropical convexity
Georg Loho, László A. Végh
We establish a new notion of tropical convexity for signed tropical numbers. We provide several equivalent descriptions involving balance relations and intersections of open halfsp…