Correction to the paper: Packing of 180 equal circles on a sphere. Elemente der Mathematik. Vol. 38, 1983, 119-122.
Correction to the paper: Sets invariant under projections onto one dimensional subspaces
Corrections to my paper "On the geometry of convex reflectors" (Banach Center Publ. 57 (2002), 155-169)
Corrigendum to "Preassigning the Shape for Bodies of Constant Width".
Countably convex sets
We investigate countably convex subsets of Banach spaces. A subset of a linear space is countably convex if it can be represented as a countable union of convex sets. A known sufficient condition for countable convexity of an arbitrary subset of a separable normed space is that it does not contain a semi-clique [9]. A semi-clique in a set S is a subset P ⊆ S so that for every x ∈ P and open neighborhood u of x there exists a finite set X ⊆ P ∩ u such that conv(X) ⊈ S. For closed sets this condition...
Covering a disk by disks.
Covering a plane convex body with five smaller homothetical copies
Covering a Square by Small Perimeter Rectangles.
Covering belt bodies by smaller homothetical copies.
Covering large balls with convex sets in spherical space.
Curvature and -strict convexity.
Curvatures of conflict surfaces in Euclidean 3-space
This article extends to three dimensions results on the curvature of the conflict curve for pairs of convex sets of the plane, established by Siersma [3]. In the present case a conflict surface arises, equidistant from the given convex sets. The Gaussian, mean curvatures and the location of umbilic points on the conflict surface are determined here. Initial results on the Darbouxian type of umbilic points on conflict surfaces are also established. The results are expressed in terms of the principal...
Curve shortening makes convex curves circular.
Curves and lattices of points in the Minkowski plane
Cutting Disjoint Disks by Straight Lines.
Damping oscillatory integrals.
Dark clouds on spheres and totally non-spherical bodies of constant breadth.
Das gemischte Volumen als Distribution.
Das Umkugelproblem und lineare semiinfinite Optimierung
Das Volumen spezieller konvexer Polytope