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Concept

Regular 4-polytope

Publications associées (23)

A linear equation for Minkowski sums of polytopes relatively in general position

Christophe Weibel

The objective of this paper is to study a special family of Minkowski sums, that is of polytopes relatively in general position. We show that the maximum number of faces in the sum can be attained by this family. We present a new linear equation that is sa ...

2010

How regular is a regular-interval timetable? From theory to application

Panagiotis Tzieropoulos, Daniel Emery, David Tron

Initially, choice of regular-interval timetable was mostly addressing operational concerns, aiming to increase the network throughput and to smooth the day-today tasks of the personnel. Separation between infrastructure management and train operations, ind ...

Wit Press, Ashurst Lodge, Southampton So40 7Aa, Ashurst, England2010

Tangencies between families of disjoint regions in the plane

János Pach

Let C be a family of n convex bodies in the plane, which can be decomposed into k subfamilies of pairwise disjoint sets. It is shown that the number of tangencies between the members of C is at most O(kn), and that this bound cannot be improved. If we only ...

2010