24 citations · 143 across the 29 of their papers we have counts for
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math.CO2011★ 9 cited
Inscribing a regular octahedron into polytopes
Arseniy Akopyan, Roman Karasev
We prove that any simple polytope (and some non-simple polytopes) in admits an inscribed regular octahedron.
math.CO2011★ 11 cited
Kadets type theorems for partitions of a convex body
Arseniy Akopyan, Roman Karasev
For convex partitions of a convex body we prove that we can put a homothetic copy of into each set of the partition so that the sum of homothety coefficients is . In…