Delaunay cells for arrangements of flats in hyperbolic space
Andrew Przeworski · Pacific Journal of Mathematics · 2012
For n+1 disjoint flats of dimension k in ވ n , we produce a Delaunay cell that is a generalization of the Delaunay simplex associated to n + 1 points in ވ n .Combinatorially, these Delaunay cells resemble truncated n-dimensional simplices.For certain classes of arrangements of flats in ވ n , we prove that these Delaunay cells can be glued together to form a Delaunay complex, with the result that almost every point of ވ n is in a total of one Delaunay cell, counting with multiplicities and orientations.