Tangency among three cylinders a hyperboloid and a torus

Paul Zsombor-Murray (1)

1 CIM - Centre for Intelligent Machines

A challenging exercise in solid modeling is examined and developed as an opportunity to raise students' consciousness in “geometric thinking” by considering how to extract additional, required design parameters from an initial specification. This involves the formulation and solution of a variety of problems in analytical geometry and inevitable digression into some simple application of polynomial discriminants and the notion that pitfalls as well as advantages accompany symmetric configuration.

Mots clés: Cylinder; Hyperbola; Torus; Tangency

Domaines: Géométrie algorithmique [cs.CG]; Géométrie différentielle [math.DG]

Paul Zsombor-Murray. Tangency among three cylinders a hyperboloid and a torus. 2008. ⟨hal-00365577⟩