## My mathematical drawings and animations (page under construction, regularly changing)

### Profile graphs

Two profile graphs of Z
Two profile graphs of Z/6Z
A profile graph of PSL(2,Z)
A profile graph of F_2
Profile graphs of Z^2
### Hyperbolicity

Geodesic space
Thin triangles
Thin triangles in H^2
Thin triangles in PSL(2,Z)
Thin triangles in F_2
Thin and fat triangles in Z^2
### The fundamental group

Fundamental group
Inverse in the fundamental group
Trivial loop
A non-trivial loop
A non-trivial loop and its inverse
### Universal covers

Z*Z^2 (the universal cover of a torus wedge a circle) final picture
Amalgamated product of a surface group with Z^2 (Relative hyperbolicity, displayed at ICERM)
final picture
### Hyperbolic 3-space

Truncated hyperbolic space, with explanations, this is an enhanced version of Neutered space that has been featured in the AMS book Illustrating mathematics.
Elliptic isometry in H^3 (inspired by Roice Nelson)
Elliptic isometry 2 in H^3 (inspired by Roice Nelson)
Hyperbolic isometry in H^3 (inspired by Roice Nelson)
Hyperbolic isometry 2 in H^3 (inspired by Roice Nelson)
Parabolic isometry in H^3
### Surfaces

A torus
A torus with a trivial loop on it
A genus 2 surface
A genus 2 surface with a trivial loop on it
A non-compact surface quasi-isometric to a wedge of half-lines

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