M. Lassak

activity

20162022

most citedWhen a spherical body of constant diameter is of constant width?

1 citations · 2 across the 5 of their papers we have counts for

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Showing 2019Show all

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math.MG2019★ 1 cited

When a spherical body of constant diameter is of constant width?

Marek Lassak

{\bf Abstract.} Let $D$ be a convex body of diameter $δ$ , where $0 < δ < \frac{π}{2}$ , on the $d$ -dimensional sphere. We prove that $D$ is of constant diameter $δ$ if and only if it i…

math.MG2019

Application of spherical convex bodies to Wulff shape

Marek Lassak

We present some relationships between the diameter, width and thickness of a reduced convex body on the $d$ -dimensional sphere. We apply the obtained properties to recognize if a W…