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math.MG2024
The Complex Illumination Problem
Liran Rotem, Alon Schejter, Boaz A. Slomka
We formulate a complex analog of the celebrated Levi-Hadwiger-Boltyanski illumination (or covering) conjecture for complex convex bodies in C^n, as well as its (non-comparable) fra…
math.MG2024
Vertex generated polytopes
Shiri Artstein-Avidan, Tomer Falah, Boaz A. Slomka
In this paper we define and investigate a class of polytopes which we call "vertex generated" consisting of polytopes which are the average of their and dimensional faces.…