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math.MG2021★ 6 cited
Mono-monostatic polyhedra with uniform point masses have at least 8 vertices
Sándor Bozóki, Gábor Domokos, Flórián Kovács +1
The monostatic property of convex polyhedra (i.e. the property of having just one stable or unstable static equilibrium point) has been in the focus of research ever since Conway a…
math.MG2013★ 7 cited
Seven mutually touching infinite cylinders
Sándor Bozóki, Tsung-Lin Lee, Lajos Rónyai
We solve a problem of Littlewood: there exist seven infinite circular cylinders of unit radius which mutually touch each other. In fact, we exhibit two such sets of cylinders. Our…