The configuration space of arachnoid mechanisms

Nir Shvalb, Moshe Shoham, David Blanc

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

The configuration spaces of arachnoid mechanisms are analyzed in this paper. These mechanisms consist of k branches each of which has an arbitrary number of links and a fixed initial point, while all branches end at one common end-point. It is shown that generically, the configuration spaces of such mechanisms are manifolds, and the conditions for the exceptional cases are determined. The configuration space of planar arachnoid mechanisms having k branches, each with two links is analyzed for both the non-singular and the singular cases.

Original languageEnglish
Pages (from-to)1033-1042
Number of pages10
JournalForum Mathematicum
Volume17
Issue number6
DOIs
StatePublished - 18 Nov 2005
Externally publishedYes

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