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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