Goriely, A. and Neukirch, S. and Hausrath, A. (2011) Helices through 3 or 4 points? Note di Matematica . (Submitted)
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.
|Subjects:||D - G > General|
|Research Groups:||Oxford Centre for Collaborative Applied Mathematics|
|Deposited By:||Peter Hudston|
|Deposited On:||18 Nov 2011 07:44|
|Last Modified:||29 May 2015 19:08|
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