13 citations · 16 across the 6 of their papers we have counts for
7 papers
Building a monostable tetrahedron
Gergő Almádi, Robert J. MacG. Dawson, Gábor Domokos
In this short note we describe what we believe to be the first working model of a monostable tetrahedron.
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…
The smallest mono-unstable, homogeneous convex polyhedron has at least 7 vertices
Sándor Bozóki, Gábor Domokos, Dávid Papp +1
We prove that every homogeneous convex polyhedron with only one unstable equilibrium (known as a mono-unstable convex polyhedron) has at least vertices. Although it has been lo…
Diverse patterns of pebbles on sand on Mars and Earth
Zheng Zhu, Bernard Hallet, András A. Sipos +3
On Mars, fields of sand dunes contrast with the general cratered, rocky terrain commonly seen from orbit. Near the equator, in Gale Crater, images from the rover, Curiosity, also r…
Same average in every direction
Imre Bárány, Gábor Domokos
Given a polytope and a non-zero vector , the plane intersects in convex polygon for where $t^-=\min \{z…