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math.MG2021
A dynamical system in the space of convex quadrangles
Yury Kochetkov
Let us consider a family of convex quadrangles in the plane with given angles and with the perimeter . Such quadrangle can be consi…
math.MG2021
Two dynamical systems in the space of triangles
Yury Kochetkov
Let be the space of triangles, defined up to shifts, rotations and dilations. We define two maps and . The map corresponds to a triangle of perimeter $…