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math.DS2023
Geometry of Integrable Linkages
Ron Perline, Sergei Tabachnikov
In analogy with the well-known 2-linkage tractor-trailer problem, we define a 2-linkage problem in the plane with novel non-holonomic ``no-slip'' conditions. Using constructs from…
math.DS2023★ 3 cited
Monotone twist maps and Dowker-type theorems
Peter Albers, Serge Tabachnikov
Given a planar oval, consider the maximal area of inscribed -gons resp. the minimal area of circumscribed -gons. One obtains two sequences indexed by , and one of Dowker's…