M. Lassak

collaborators

3 papers

math.MG2024

Reduced polygons in the hyperbolic plane

Marek Lassak

For a hyperplane $H$ supporting a convex body $C$ in the hyperbolic space $H^{d}$ we define the width of $C$ determined by $H$ as the distance between $H$ and a most distant…

math.MG2024

An estimate of the centroid Banach-Mazur distance between planar convex bodies

Marek Lassak

We consider the variant of the Banach-Mazur distance $I^´_{B M}^{cen} (C, D)$ of two convex bodies $C, D$ of $E^{d}$ with the additional requirement that the centroids of them coin…

math.MG2024

Applications of equidistant supporting surfaces of a convex body in the hyperbolic space

Marek Lassak

For a hyperplane $H$ supporting a convex body $C$ in the hyperbolic space $H^{d}$ we define the width of $C$ determined by $H$ as the distance between $H$ and a most distant…