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arXiv.org e-Print Archive
Preprint . 2025
Data sources: arXiv.org e-Print Archive
https://doi.org/10.2139/ssrn.5...
Article . 2025 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2025
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Preprint . 2025
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Hypo-Paradoxical Linkages: Linkages that Should Move - But Don't

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2025Embargo end date: 01 Jan 2025Publisher:Elsevier BV
Authors: Nir Shvalb; Oded Medina;

doi: 10.2139/ssrn.5372925 , 10.48550/arxiv.2507.20371

arXiv: 2507.20371

Hypo-Paradoxical Linkages: Linkages that Should Move - But Don't

Abstract

While paradoxical linkages famously violate the Chebyshev-Grubler-Kutzbach criterion by exhibiting unexpected mobility, we identify an opposing phenomenon: a class of linkages that appear mobile according to the same criterion, yet are in fact rigid. We refer to these as hypo-paradoxical linkages, and proceed to analyze and illustrate their behavior. We use the same tools to further explain the unexpected positive mobility of Bennet mechanism.

15 pages, 8 figures

Related Organizations
Keywords

FOS: Computer and information sciences, FOS: Physical sciences, 70B15, Robotics, Physics and Society (physics.soc-ph), Physics and Society, Robotics (cs.RO)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green