165 citations · 499 across the 53 of their papers we have counts for
57 papers
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…
Pebbles, graphs and equilibria: higher order shape descriptors for sedimentary particles
Balázs Ludmány, Gábor Domokos
While three-dimensional measurement technology is spreading fast, its meaningful application to sedimentary geology still lacks content. Classical shape descriptors (such as axis r…
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…
An evolution model for polygonal tessellations as models for crack networks and other natural patterns
Péter Bálint, Gábor Domokos, Krisztina Regős
We introduce and study a general framework for modeling the evolution of crack networks. The evolution steps are triggered by exponential clocks corresponding to local micro-events…
Polygonal tessellations as predictive models of molecular monolayers
Krisztina Regős, Rémy Pawlak, Xing Wang +6
Molecular self-assembly plays a very important role in various aspects of technology as well as in biological systems. Governed by the covalent, hydrogen or van der Waals interacti…
A discrete time evolution model for fracture networks
Gábor Domokos, Krisztina Regős
We examine geophysical crack patterns using the mean field theory of convex mosaics. We assign the pair of average corner degrees to each crack pattern and we…