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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 87-103 |
| Number of pages | 17 |
| Journal | Note di Matematica |
| Volume | 32 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2012 |
ASJC Scopus subject areas
- General Mathematics