Journal article
Helices through 3 or 4 points?
- 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.
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Authors
- Publication date:
- 2011-01-01
- UUID:
-
uuid:53c050cc-0746-4710-a4d5-b11833f319e6
- Local pid:
-
oai:eprints.maths.ox.ac.uk:1445
- Deposit date:
-
2011-11-19
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- Copyright date:
- 2011
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