3 papers
cs.CG2025
Soft cells, Kelvin's foam and the minimal surfaces of Schwarz
Gábor Domokos, Alain Goriely, Ãkos 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. RegÅs, 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…
physics.app-ph2024
Soft cells and the geometry of seashells
Gábor Domokos, Alain Goriely, Ãkos 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…