3D illustrations to Chapter 8 of Cromwell's Polyhedra
A Characterization of Sets of Constant Width.
A conjecture of Grünbaum on common transversals.
A correction to my paper:"Some topological extensions of plane geometry"
A Gallai-Type Transversal Problem in the Plane.
A generalization of the Erdös-Szekeres convex n-gon theorem.
A Helly number for unions of two boxes in .
A Linear-Time Algorithm for Computing the Voronoi Diagram of a Convex Polygon.
A linear-time construction of Reuleaux polygons.
A measure of asymmetry for domains of constant width.
A measure of axial symmetry of centrally symmetric convex bodies
Denote by Kₘ the mirror image of a planar convex body K in a straight line m. It is easy to show that K*ₘ = conv(K ∪ Kₘ) is the smallest by inclusion convex body whose axis of symmetry is m and which contains K. The ratio axs(K) of the area of K to the minimum area of K*ₘ over all straight lines m is a measure of axial symmetry of K. We prove that axs(K) > 1/2√2 for every centrally symmetric convex body and that this estimate cannot be improved in general. We also give a formula for axs(P) for...
A measure of symmetry for ovals
A New Necessary Condition for the Vertex Visibility Graphs of Simple Polygons.
A non local quantitative characterization of ellipses leading to a solvable differential relation.
A normed space with the Beckman-Quarles property.
A note on convexly independent subsets of an infinite set of points.
A Note on the Circle Containment Problem.
A point set everywhere dense in the plane.
A Polynomial Solution for the Potato-peeling Problem.
A seperation property of plane convex sets.