Hypo-paradoxical Linkages: Linkages That Should Move-But Don't
July 27, 2025 Β· Declared Dead Β· π arXiv.org
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Authors
Nir Shvalb, Oded Medina
arXiv ID
2507.20371
Category
physics.soc-ph
Cross-listed
cs.RO
Citations
0
Venue
arXiv.org
Last Checked
4 months ago
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.
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