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math.MG2024
Autopolar conic bodies and polyhedra
Maxim Makarov, Vladimir Yu. Protasov
An antinorm is a concave analogue of a norm. In contrast to norms, antinorms are not defined on the entire space but on a cone . They are applied in the matrix…
math.MG2023
Closed simple geodesics on a polyhedron
Vladimir Yu. Protasov
It is well-known that every isosceles tetrahedron (disphenoid) admits infinitely many simple closed geodesics on its surface. They can be naturally enumerated by pairs of co-prime…