3 papers
cs.CG2024
Soft cells, Kelvin's foam and the minimal surfaces of Schwarz
Gábor Domokos, Alain Goriely, Ákos G. Horváth +1
Recently, we introduced a new class of shapes, called soft cells which fill space as soft tilings without gaps and overlaps while minimizing the number of sharp corners. We introdu…
physics.geo-ph2024
Decoding planetary surfaces by counting cracks
S. Silver, K. Regős, G. Domokos +1
Planets are often covered with thin cracked shells. From mud films to lithospheres of rock or ice, fracture networks form two-dimensional (2D) tessellations of convex polygons whos…
math.MG2021
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…