On Spatial Constraint Solving Approaches

  • Authors:
  • Christoph M. Hoffmann;Bo Yuan

  • Affiliations:
  • -;-

  • Venue:
  • ADG '00 Revised Papers from the Third International Workshop on Automated Deduction in Geometry
  • Year:
  • 2000

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Abstract

Simultaneous spatial constraint problems can be approached algebraically, geometrically, or constructively. We examine how each approach performs, using several example problems, especially constraint problems involving lines. We also prove that there are at most 12 real tangents to four given spheres in R3.