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DCG
2006
13 years 5 months ago
2006
We propose an algorithm to compute a conforming Delaunay mesh of a bounded domain specified by a piecewise linear complex. Arbitrarily small input angles are allowed, and the inpu...
DCG
2006
13 years 5 months ago
2006
Let B be a Borel set in Ed with volume V (B) = . It is shown that almost all lattices L in Ed contain infinitely many pairwise disjoint d-tuples, that is sets of d linearly indepen...
DCG
2006
13 years 5 months ago
2006
This paper gives n-dimensional analogues of the Apollonian circle packings in Parts I and II. Those papers considered circle packings described in terms of their Descartes configur...
DCG
2010
13 years 5 months ago
2010
Abstract. The Kepler conjecture asserts that no packing of congruent balls in three-dimensional Euclidean space has density greater than that of the face-centered cubic packing. Th...
DCG
2006
13 years 5 months ago
2006
In a 1967 paper, Banchoff stated that a certain type of polyhedral curvature, that applies to all finite polyhedra, was zero at all vertices of an odd-dimensional polyhedral manifo...