The configuration space of arachnoid mechanisms

Nir Shvalb; Moshe Shoham; David Blanc

doi:10.1515/form.2005.17.6.1033

The configuration space of arachnoid mechanisms

Nir Shvalb
, Moshe Shoham
, David Blanc

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	1033-1042
Number of pages	10
Journal	Forum Mathematicum
Volume	17
Issue number	6
DOIs	https://doi.org/10.1515/form.2005.17.6.1033
State	Published - 18 Nov 2005

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1515/form.2005.17.6.1033

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The configuration space of arachnoid mechanisms

Abstract

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