13 citations · 30 across the 11 of their papers we have counts for
4 papers · 1 filter
On equilibria of tetrahedra
Gergő Almádi, Robert J. MacG. Dawson, Gábor Domokos +1
The monostatic property of polyhedra (i.e. the property of having just one stable or unstable static equilibrium point) has been in a focus of research ever since Conway and Guy \c…
The smallest mono-unstable convex polyhedron with point masses has 8 faces and 11 vertices
Dávid Papp, Krisztina Regős, Gábor Domokos +1
In the study of monostatic polyhedra, initiated by John H. Conway in 1966, the main question is to construct such an object with the minimal number of faces and vertices. By distin…
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…
Balancing polyhedra
Gábor Domokos, Flórián Kovács, Zsolt Lángi +2
We define the mechanical complexity of a convex polyhedron interpreted as a homogeneous solid, as the difference between the total number of its faces, edges and vertic…