M. Lassak

activity

20162024

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

collaborators

Showing 2020Show all

3 papers · 1 filter

math.MG2020

Spherical geometry -- a survey on width and thickness of convex bodies

Marek Lassak

We present a survey article about the geometry of convex bodies on the $d$ -dimensional sphere $S^{d}$ . We concentrate on the results based on the notion of the width of a convex body…

math.MG2020

Banach-Mazur distances between parallelograms and other affinely regular even-gons

Marek Lassak

We show that the Banach-Mazur distance between the parallelogram and the affine-regular hexagon is $\frac{3}{2}$ and we conclude that the diameter of the family of centrally-symmet…

math.MG2020

Complete Spherical Convex Bodies

Marek Lassak

Similarly to the classic notion in $E^{d}$ , a subset of a positive diameter below $\frac{π}{2}$ of a hemisphere of the sphere $S^{d}$ is called complete, provided adding any extra point…