A large dihedral symmetry of the set of alternating sign matrices.
A Linear-Time Algorithm for Computing the Voronoi Diagram of a Convex Polygon.
A linear-time construction of Reuleaux polygons.
A literature review on circle and sphere packing problems: models and methodologies.
À l'ombre de Loewner
A lower bound on packing density.
A Markoff-Type Chain for the View-Obstruction Problem for Spheres in R4.
A mean-square bound for the lattice discrepancy of bodies of rotation with flat points on the boundary
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 methodologically pure proof of a convex geometry problem.
A metric inequality associated with valuated fields
A model for Toepliz operators in the space of entire functions of exponential type
A modification of Graham's algorithm for determining the convex hull of a finite planar set.
A nearly uniformly convex space which is not a -space
A new algebraic criterion for shellability.
A new algorithm for approximating the least concave majorant
The least concave majorant, , of a continuous function on a closed interval, , is defined by We present an algorithm, in the spirit of the Jarvis March, to approximate the least concave majorant of a differentiable piecewise polynomial function of degree at most three on . Given any function , it can be well-approximated on by a clamped cubic spline . We show that is then a good approximation to . We give two examples, one to illustrate, the other to apply our algorithm.
A New Bound on the Local Density of Sphere Packings.
A new class of stuck unknots in .