13 citations · 30 across the 11 of their papers we have counts for
11 papers
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…
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…
Soft cells and the geometry of seashells
Gábor Domokos, Alain Goriely, Ákos G. Horváth +1
A central problem of geometry is the tiling of space with simple structures. The classical solutions, such as triangles, squares, and hexagons in the plane and cubes and other poly…
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…
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…
A two-vertex theorem for normal tilings
Gábor Domokos, Ákos G. Horváth, Krisztina Regős
We regard a smooth, -dimensional manifold and its normal tiling , the cells of which may have non-smooth or smooth vertices (at the latter, two edges meet at…
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…