On a characterization of circles and spheres.
On a covering problem in the plane.
On a measure of axiality for triangular domains.
On a special family of compact convex sets in the Euclidean plane .
On area and side lengths of triangles in normed planes
Let be a d-dimensional normed space with norm ||·|| and let B be the unit ball in . Let us fix a Lebesgue measure in with . This measure will play the role of the volume in . We consider an arbitrary simplex T in with prescribed edge lengths. For the case d = 2, sharp upper and lower bounds of are determined. For d ≥ 3 it is noticed that the tight lower bound of is zero.
On Barbier's theorem
On boundary arcs joining antipodal points of a planar convex body.
On coverings of plane convex sets by translates of strips.
On Gnomons
On local and global moduli of convexity
On maximal ot-subsets of the Euclidean plane.
On minimum area quadrilaterals and triangles circumscribed about convex plane regions.
On minimum kissing numbers of finite translative packings of a convex body.
On parametric density of finite circle packings.
On Reuleaux triangles in Minkowski planes.
On Separating Two Simple Polygons by a Single Translation.
On seven points in the boundary of a plane convex body in large relative distances.
On the affine convexity of convex curves and hypersurfaces.
On the area sum of a convex polygon and its polar reciprocal.
On the area sum of a convex set and its polar reciprocal.