The Mathematical Institute, University of Oxford, Eprints Archive

Helices through 3 or 4 points?

Goriely, A. and Neukirch, S. and Hausrath, A. (2011) Helices through 3 or 4 points? Note di Matematica . (Submitted)

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Abstract

How many points in space are needed to define a circular helix? We show here that given 3 distinct points in space there exist continuous families of helices passing through these points. Given 4 generic distinct points there is no helix. However, a discrete family of helices through 3 points can be specified if an additional property of the helix is prescribed. In particular, the case where the helical radius is specified is studied in detail.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1445
Deposited By:Peter Hudston
Deposited On:18 Nov 2011 07:44
Last Modified:09 Feb 2012 13:50

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