{"ID":2889986,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2507.20371","arxiv_id":"2507.20371","title":"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.","short_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 analyz...","url_abs":"https://arxiv.org/abs/2507.20371","url_pdf":"https://arxiv.org/pdf/2507.20371v2","authors":"[\"Nir Shvalb\",\"Oded Medina\"]","published":"2025-07-27T18:04:20Z","proceeding":"physics.soc-ph","tasks":"[\"physics.soc-ph\",\"cs.RO\"]","methods":"[]","has_code":false}