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- AGH University of KrakowPL12 papers
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5 papers · 1 filter
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 and we conclude that the diameter of the family of centrally-symmet…
Complete Spherical Convex Bodies
Marek Lassak
Similarly to the classic notion in , a subset of a positive diameter below of a hemisphere of the sphere is called complete, provided adding any extra point…
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 -dimensional sphere. We apply the obtained properties to recognize if a W…
Diameter of reduced spherical convex bodies
Marek Lassak, Michał Musielak
The intersection of two different non-opposite hemispheres of the unit sphere is called a lune. By we denote the distance of the centers of the semicircles boundin…
Approximation of convex bodies by polytopes with respect to minimal width and diameter
Marek Lassak
Denote by the family of convex bodies in and by the minimal width of . We ask for the greatest number suc…