Arnoux-Yoccoz surface(s) hmm, this page seems very empty... References ARNOUX (P.) et YOCCOZ (J.C.). — Construction de difféomorphismes pseudo-Anosov, C. R. Acad ...
Billiard with wall A billiard table that looks like the one of the computer game Blobby Volley and whose associated translation surface is such that the set of minimal ...
Bouillabaisse Surfaces Definition A translation surface is said to be bouillabaisse if it Veech group admits at least two parabolic elements that do not commute. ...
Complete periodicity Definition A surface is said to be completely periodic if for each direction that contains a periodic trajectory, the surface can be fully decomposed ...
Double covered regular octagon A branched covering of the translation surface obtained when we identify the opposite sides of a regular octagon, whose Veech group ...
An extraordinary origami curve Description: This origami curve is defined by an origami W consisting of 8 squares. Properties: genus of W: 3 stratum: 4 zeroes The ...
Finite blocking property A translation surface S is said to have the finite blocking property if for every pair (O,A) of points in S, there exists a finite number ...
L-shaped translation surfaces Description of the surface It is in fact a familiy of surfaces P(a,b) that depend on two parameters: The opposite lines are identified ...
Lattice property Brief definition Since $SL(2,\mathbb{R})$ acts on $\mathbb{R}^2$ , it also acts on the space of translation surfaces (in the charts). For any translation ...
Definition A surface is said to have NoGeodesicFromASingularityToItself if every geodesic going from a singularity to itself has to meet first another singularity ...
A surface S is said to have NoOneCylinderDecomposition if there is no direction such that S is equal to one cylinder in that direction. The SquaredSnakeSurface and ...
The Regular Decagon Description and basic facts genus : 2 stratum : $\mathcal{H}(1,1)$ Veech surface (Veech) Veech group : Properties up to SL(2,R), this is the only ...
Simple J-invariant property A surface $\mathcal{S}$ is said to have the SimpleJinvariantProperty if there exists two vectors $v 1$ and $v 2$ in R^2 such that $J( ...
The squared snake surface TOC Description of the surface The opposite vertical lines are identified by horizontal translation, the vertical lines with the same style ...
In his notes ``On the geometry and dynamics of diffeomorphisms of surfaces'', Thurston describes a method for constructing surfaces (generally half-translation surfaces ...
Torus branched coverings A surface S is said to be a torus branched covering if there exists a flat branched covering from S to a flat torus. Such surfaces have a ...
The two-directions surface Description Identify the horizontal lines by vertical translation, and identify the vertical lines with the same style by translation. ...
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