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- W4286233208 abstract "A $configuration$ of a linkage $Gamma$ is a possible positioning of $Gamma$ in $mathbb{R}^d$ and the collection of all such forms the configuration space $mathcal{C}(Gamma)$ of $Gamma$. We here introduce the notion of the $symmetric configuration space$ of a linkage, in which we identify configurations which are geometrically indistinguishable. We show that the symmetric configuration space of a planar polygon has a regular cell structure, provide some principles for calculating this structure, and give a complete description of the symmetric configuration space of all quadrilaterals and of the equilateral pentagon." @default.
- W4286233208 created "2022-07-21" @default.
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- W4286233208 date "2022-07-17" @default.
- W4286233208 modified "2023-09-23" @default.
- W4286233208 title "Symmetric Configuration spaces of linkages" @default.
- W4286233208 doi "https://doi.org/10.48550/arxiv.2207.08173" @default.
- W4286233208 hasPublicationYear "2022" @default.
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