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math.MG2019
Equipartitions and Mahler volumes of symmetric convex bodies
Matthieu Fradelizi, Alfredo Hubard, Mathieu Meyer +2
Following ideas of Iriyeh and Shibata we give a short proof of the three-dimensional Mahler conjecture {\mf for symmetric convex bodies}. Our contributions include, in particular,…
math.MG2017
Shadows of a Closed Curve
Michael Gene Dobbins, Heuna Kim, Luis Montejano +1
A shadow of a geometric object in a given direction is the orthogonal projection of on the hyperplane orthogonal to . We show that any topological embedding of a cir…