Publications Influence

Share This Author

Convex and Discrete Geometry

- G. Agnarsson, J. Dunham,
+6 authors B. Carrigan - Mathematics
- 2009

Geir Agnarsson, Jill Bigley Dunham.* George Mason University, Fairfax, VA. Extremal coin graphs in the Euclidean plane. A coin graph is a simple geometric intersection graph where the vertices are… Expand

Geometric Methods and Optimization Problems

- V. G. Bolti︠a︡nskiĭ, H. Martini, V. Soltan
- Mathematics
- 31 December 1998

I. Nonclassical Variational Calculus. II. Median Problems in Location Science. III. Minimum Convex Partitions of Polygonal Domains.

The geometry of Minkowski spaces — A survey. Part I

- H. Martini, K. Swanepoel, G. Weiss
- Mathematics
- 21 August 2007

Excursions into Combinatorial Geometry

- V. Boltyanski, H. Martini, P. Soltan
- Mathematics
- 14 November 1996

The book deals with the combinatorial geometry of convex bodies in finite-dimensional spaces. A general introduction to geometric convexity is followed by the investigation of d-convexity and… Expand

Antinorms and Radon curves

- H. Martini, K. Swanepoel
- Mathematics
- 13 September 2004

Summary.A Radon curve can be used as the unit circle of a norm, with the corresponding normed plane called a Radon plane. An antinorm is a special case of the Minkowski content of a measurable set in… Expand

Combinatorial problems on the illumination of convex bodies

- H. Martini, V. Soltan
- Mathematics
- 1 May 1999

Summary. This is a review of various problems and results on the illumination of convex bodies in the spirit of combinatorial geometry. The topics under review are: history of the… Expand

On the Number of Maximal Regular Simplices Determined by n Points in Rd

- Zvi Schur, M. Perles, H. Martini, Y. Kupitz
- Mathematics
- 2003

A set V = {x 1,…, x n } of n distinct points in Euclidean d-space ℝ d determines 2 n distances ∥x j − x i ∥ (1 ≤ i < j ≤ n). Some of these distances may be equal. Many questions concerning the… Expand

Maximal sections and centrally symmetric bodies

- E. Makai, H. Martini, T. Ódor
- Mathematics
- 1 December 2000

Let d ≥2 and let K ⊂ℝ d be a convex body containing the origin 0 in its interior. For each direction ω, let the ( d −l)-volume of the intersection of K and an arbitrary hyperplane with normal ω… Expand

Orthocentric simplices and their centers

- A. Edmonds, Mowaffaq Hajja, H. Martini
- Mathematics
- 1 May 2005

A simplex is said to be orthocentric if its altitudes intersect in a common point, called its orthocenter. In this paper it is proved that if any two of the traditional centers of an orthocentric… Expand

Geometric Inequalities

- H. Martini, L. Montejano, D. Oliveros
- MathematicsBodies of Constant Width
- 2019

Notation and Basic Facts a, b, and c are the sides of ∆ABC opposite to A, B, and C respectively. [ABC] = area of ∆ABC s = semi-perimeter =) c b a (2 1 + + r = inradius R = circumradius Sine Rule: R 2… Expand

...

1

2

3

4

5

...