## 658 Citations

### Das elementargeometrische Potential der EULERschen Ungleichung

- Mathematische Semesterberichte
- 2015

Die Beschreibung von Beziehungen zwischen geometrischen Größen beschränkt sich in der Schulgeometrie und auch in der Lehrerbildung auf identische Gleichungen und Formeln. Von den geometrischen…

### Simultaneous packing and covering in the two-dimensional Euclidean plane II

- Mathematics
- 2007

This paper determines the optimal upper bound for the simultaneous packing and covering constants of the two-dimensional centrally symmetric convex domains. It solved a problem opening for more than…

### Plants in Space

- EconomicsFederal Reserve Bank of Richmond Working Papers
- 2020

We study the number, size, and location of a firm's plants. The firm's decision balances the benefit of delivering goods and services to customers using multiple plants with the cost of setting up…

### The Isostatic Conjecture

- MathematicsDiscret. Comput. Geom.
- 2020

We show that a jammed packing of disks with generic radii, in a generic container, is such that the minimal number of contacts occurs and there is only one dimension of equilibrium stresses, which…

### The Isostatic Conjecture

- MathematicsDiscrete & Computational Geometry
- 2019

We show that a jammed packing of disks with generic radii, in a generic container, is such that the minimal number of contacts occurs and there is only one dimension of equilibrium stresses, which…

### On polyhedra inscribed in $S^2$, with approximately equal edges

- Mathematics
- 2019

We consider triangle faced convex polyhedra inscribed in the unit sphere $S^2$ in ${\Bbb{R}}^3$. One way of measuring their deviation from regular polyhedra with triangular faces is to consider the…

### On the angle sum of lines

- Mathematics
- 2016

What is the maximum of the sum of the pairwise (non-obtuse) angles formed by n lines in the Euclidean 3-space? This question was posed by Fejes Tóth in (Acta Math Acad Sci Hung 10:13–19, 1959). Fejes…

### Deposited in DRO : 02 October 2015 Version of attached le : Accepted Version Peer-review status of attached

- Mathematics
- 2015

Motivated by biological questions, we study configurations of equal-sized disks in the Euclidean plane that neither pack nor cover. Measuring the quality by the probability that a random point lies…

### The Tammes Problem for N = 14

- MathematicsExp. Math.
- 2015

A solution is given for the Tammes problem to find the arrangement of N points on a unit sphere which maximizes the minimum distance between any two points and the optimal configuration of 14 points was conjectured more than 60 years ago.