5 papers
Steiner symmetrization on the sphere
Bushra Basit, Steven Hoehner, Zsolt Lángi +1
The aim of this paper is to introduce a generalization of Steiner symmetrization in Euclidean space for spherical space, which is the dual of the Steiner symmetrization in hyperbol…
On a Dowker-type problem for convex disks with almost constant curvature
Bushra Basit, Zsolt Lángi
A classical result of Dowker (Bull. Amer. Math. Soc. 50: 120-122, 1944) states that for any plane convex body , the areas of the maximum (resp. minimum) area convex -gons ins…
Dowker-type theorems for disk-polygons in normed planes
Bushra Basit, Zsolt Lángi
A classical result of Dowker (Bull. Amer. Math. Soc. 50: 120-122, 1944) states that for any plane convex body in the Euclidean plane, the areas of the maximum (resp. minimum) a…
Discrete isoperimetric problems in spaces of constant curvature
Bushra Basit, Zsolt Langi
The aim of this paper is to prove isoperimetric inequalities for simplices and polytopes with vertices in Euclidean, spherical and hyperbolic -space. In particular, we fin…
On monohedral tilings of a regular polygon
Bushra Basit, Zsolt Lángi
A tiling of a topological disc by topological discs is called monohedral if all tiles are congruent. Maltby (J. Combin. Theory Ser. A 66: 40-52, 1994) characterized the monohedral…