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DCG
2006
63views more  DCG 2006»
13 years 4 months ago
Common Tangents to Spheres in R3
We prove that four spheres in R3 have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.
Ciprian Borcea, Xavier Goaoc, Sylvain Lazard, Sylv...
CCCG
2004
13 years 6 months ago
On the number of line tangents to four triangles in three-dimensional space
We establish upper and lower bounds on the number of connected components of lines tangent to four triangles in R3 . We show that four triangles in R3 may admit at least 88 tangent...
Hervé Brönnimann, Olivier Devillers, S...
TCS
2008
13 years 4 months ago
Swept regions and surfaces: Modeling and volumetric properties
We consider "swept regions" and "swept hypersurfaces"B in Rn+1 (and especially R3) which are a disjoint union of subspaces t = t or Bt = Bt obtained from a va...
James N. Damon