M. Musielak

collaborators

3 papers

math.MG2018

Diameter of reduced spherical convex bodies

Marek Lassak, Michał Musielak

The intersection $L$ of two different non-opposite hemispheres of the unit sphere $S^{2}$ is called a lune. By $Δ (L)$ we denote the distance of the centers of the semicircles boundin…

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.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…