4 papers
Chasing rotational symmetry in the spectre tiling
Marianne Imperor-Clerc, Jean-Francois Sadoc
We identify the rotational symmetry centers in the spectre tiling. We find that both 2-fold and 3-fold symmetry centers are coexisting. Local and global symmetry operations are dis…
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…