M. Lassak

activity

20162018

collaborators

3 papers

math.MG2018

Spherical bodies of constant width

Marek Lassak, Michał Musielak

The intersection $L$ of two different non-opposite hemispheres $G$ and $H$ of a $d$ -dimensional sphere $S^{d}$ is called a lune. By the thickness of $L$ we mean the distance of the c…

math.MG2017

Approximation of convex bodies by polytopes with respect to minimal width and diameter

Marek Lassak

Denote by $K^{d}$ the family of convex bodies in $E^{d}$ and by $w (C)$ the minimal width of $C \in K^{d}$ . We ask for the greatest number $Λ_{n} (K^{d})$ suc…

math.MG2016

Reduced Spherical Convex Bodies

Marek Lassak, Michał Musielak

The aim of this paper is to present some properties of reduced spherical convex bodies on the two-dimensional sphere $S^{2}$ . The intersection of two different non-opposite hemispher…