Helices through 3 or 4 points?

Alain Gorielyi, Sébastien Neukirch, Andrew Hausrath

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 languageEnglish (US)
Pages (from-to)87-103
Number of pages17
JournalNote di Matematica
Volume32
Issue number1
DOIs
StatePublished - Dec 1 2012

ASJC Scopus subject areas

  • Mathematics(all)

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