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:  29 May 2015 19:08 
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