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Wild Translation Surfaces Project MANY GENERIC RESULTS STOP- LACK OF CONCRETE EXAMPLES STOP- WELCOME HERE STOP- This project aims to create an evolutive encyclopedia ...

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 ...

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 ...

In his notes ``On the geometry and dynamics of diffeomorphisms of surfaces'', Thurston describes a method for constructing surfaces (generally half-translation surfaces ...

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 ...

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. ...

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 ...

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 ...

Obtuse Veech triangle An obtuse triangular table whose associated translation surface is Veech. http://www.math.sunysb.edu/~pat/docs/papers/veech triangle.ps just ...

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 ...

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 ...

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 ...

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 ...

Definition A surface is said to have NoGeodesicFromASingularityToItself if every geodesic going from a singularity to itself has to meet first another singularity ...

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. ...

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 ...

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( ...

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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 ...

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TOPICLIST{" $name "} See also the verbose WebIndex.

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