The Geometry of the Tangent Developable

Pal Hermunn Johansen ()
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Pal Hermunn Johansen: University of Oslo, Centre of Mathematics for Applications & Department of Mathematics

A chapter in Computational Methods for Algebraic Spline Surfaces, 2005, pp 95-106 from Springer

Abstract: Abstract The tangent developable of a curve C ⊂ ℙ3 is a singular surface with a cuspidal edge along C and the flex tangents of C. It also contains a multiple curve, typically double, and we express the degree of this curve in terms of the invariants of C. In many cases we can calculate the intersections of C with the multiple curve, and pictures of these cases are provided.

Date: 2005
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DOI: 10.1007/3-540-27157-0_7

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