60 citations · 97 across the 5 of their papers we have counts for
6 papers
Phyllotaxis: a framework for foam topological evolution
Nicolas Rivier, Jean-François Sadoc, Jean Charvolin
Phyllotaxis describes the arrangement of florets, scales or leaves in composite flowers or plants (daisy, aster, sunflower, pinecone, pineapple). As a structure, it is a geometrica…
Phyllotaxis on surfaces of constant Gaussian curvature
Jean-François Sadoc, Jean Charvolin, Nicolas Rivier
A close packed organization with circular symmetry of a large number of small discs on a plane is obtained when the centres of the discs are distributed according to the algorithm…
Phyllotaxis: a non conventional crystalline solution to packing efficiency in situations with radial symmetry
Jean-François Sadoc, Nicolas Rivier, Jean Charvolin
Phyllotaxis, the search for the most homogeneous and dense organizations of small disks inside a large circular domain, was first developed to analyze arrangements of leaves or flo…
Space-filling bearings in three dimensions
R. Mahmoodi Baram, H. J. Herrmann, N. Rivier
We present the first space-filling bearing in three dimensions. It is shown that a packing which contains only loops with even number of spheres can be constructed in a self-simila…
Stratifications of cellular patterns
C. Oguey, N. Rivier, T. Aste
Geometrically, foams or covalent graphs can be decomposed into successive layers or strata. Disorder of the underlying structure imposes a characteristic roughening of the layers.…
From one cell to the whole froth: a dynamical map
Tomaso Aste, Dominique Boose, Nicolas Rivier
We investigate two and three-dimensional shell-structured-inflatable froths, which can be constructed by a recursion procedure adding successive layers of cells around a germ cell.…