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9.
IEEE Comput Graph Appl ; 25(3): 84-93, 2005.
Article in English | MEDLINE | ID: mdl-15943092
11.
IEEE Comput Graph Appl ; 24(3): 92-100, 2004.
Article in English | MEDLINE | ID: mdl-15628077

ABSTRACT

Three mutually skew lines in space K, L, and M determine a unique hyperbolic paraboloid in which they are all embedded. The implicit equation for this is Q = KML-LMK = LKM - MKL = MLK - KLM. And a parametric equation for one of the two families (the one containing K, L, and M) of embedded lines sweeping out the surface is J = (cos(theta) + sin(theta) + 1)(LM) K +(-cos(theta) + sin(theta) + 1) (MK) L -sin(theta(KL)M. Looking at these two- and three- line constructions was so much fun that next time I will pursue the geometric patterns formed from four mutually skew lines in space.


Subject(s)
Algorithms , Computer Graphics , Numerical Analysis, Computer-Assisted
13.
IEEE Comput Graph Appl ; 24(5): 100-6, 2004.
Article in English | MEDLINE | ID: mdl-15628105
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