Department of Geometry |
Bolyai Institute, Faculty of Science, University of Szeged |
Ball packings in hyperbolic n-space
The Department of Geometry is pleased to divulge that
gives a lecture at the Kerékjártó Seminar with title
Date and place of the lecture is:
Abstract of the lecture:
Ball, horoball and hyperball packings of hyperbolic spaces are extensively discussed in the literature,
however there remain several open problems.
In this talk we study the problem of horo- and hyperball packings in $n$-dimensional
hyperbolic space ($\mathbb N\ni n\ge3$). We discuss horoball packings if we allow ``horoballs of
different types'' centred at the various vertices of given polyhedra. Moreover, we show
some interesting, dense, extendable congruent and non-congruent hyperball packing
arrangements related to truncated regular cube, octahedron and tetrahedron tilings.
Here are some snapshots of the event: