Distance Geometry for Kissing Balls

Details Distance Geometry for Kissing Balls Distance Geometry for Kissing Balls

2012-03-09

arxiv.org/abs/1203.2131v1

Mathematics

Metric Geometry

12 pages, draft

Scientific paper

A kissing ball is a ball that is tangent to a fixed reference ball. In this paper, we will treat kissing balls with techniques from the Euclidean distance geometry. This turns out to be more general than the classical Euclidean distance geometry. We will show that the distance matrix for the kissing balls plays, at the same time, the role of Cayley-Menger matrix. Thus classical problems in Euclidean distance geometry will have new versions for kissing balls.

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