20 citations · 29 across the 7 of their papers we have counts for
7 papers
Chasing rotational symmetry in the spectre tiling
Marianne Imperor-Clerc, Jean-Francois Sadoc, Simon Tatham
We identify the rotational symmetry centers in the spectre tiling. We find that both 2-fold and 3-fold symmetry centers are coexisting, with two different types of 3-fold centers.…
Some attempts toward 3-dimensional Phyllotaxy
Rémy Mosseri, Jean-François Sadoc
This paper investigates several distinct attempts to generalize in higher dimension the standard 2-dimensional phyllotaxy set construction. We first recall known contructions for t…
Homochiral inflation for the aperiodic monotile Tile(1,1)
Marianne Imperor-Clerc, Jean-François Sadoc
The recently discovered chiral monotile Tile(1,1) is tiling the plane in a quasiperiodic fashion by taking twelve different orientations when applying rotation. An homochir…
Some examples of quasiperiodic tilings obtained with a simple grid method
Jean-François Sadoc, Marianne Imperor-Clerc
A grid method using tiling by fundamental domain of simple 2D lattices is presented. It refer to a previous work done by Stampfli in using two tilings by regular hexagons, o…
Conjecture on the lateral growth of type I collagen fibrils
Jean Charvolin, Jean-François Sadoc
Type I collagen fibrils have circular cross sections with radii mostly distributed in between 50 and 100 nm and are characterized by an axial banding pattern with a period of 67 nm…
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…
X-ray Coherent diffraction interpreted through the fractional Fourier transform
David Le Bolloc'h, Jean-Francois Sadoc
Diffraction of coherent x-ray beams is treated through the Fractionnal Fourier transform. The transformation allow us to deal with coherent diffraction experiments from the Fresnel…