S. Myroshnychenko

activity

20162026

most citedFunctional Response Designs via the Analytic Permutation Test

7 citations · 9 across the 15 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.MG2016

On a functional equation related to a pair of hedgehogs with congruent projections

Sergii Myroshnychenko

Hedgehogs are geometrical objects that describe the Minkowski differences of arbitrary convex bodies in the Euclidean space $E^{n}$ . We prove that two hedgehogs in $\mathbb{…

math.MG2016

Star bodies with completely symmetric sections

Sergii Myroshnychenko, Dmitry Ryabogin, Christos Saroglou

We say that a star body $K$ is completely symmetric if it has centroid at the origin and its symmetry group $G$ forces any ellipsoid whose symmetry group contains $G$ , to be a ball…

math.MG2016

On polytopes with congruent projections or sections

Sergii Myroshnychenko, Dmitry Ryabogin

Let $2 \leq k \leq d - 1$ and let $P$ and $Q$ be two convex polytopes in $E^{d}$ . Assume that their projections, $P ∣ H$ , $Q ∣ H$ , onto every $k$ -dimensional subspace $H$ , are congru…