Dirichlet domains and limit sets
A quick introduction to Dirichlet domains
These Dirichlet domains were all computed using Jeff Weeks's program SnapPea. The colours and lighting were added using Geomview and the rendering was accomplished using BMRT. Finally, the animated gifs were created using gifsicle.
Dirichlet domain for Vol3, morphing as the basepoint travels around a closed geodesic
The limit set of a discrete group of isometries of the complex hyperbolic plane
animation
Dirichlet domain for the complement of the Turk's Head Knot
animation
Dirichlet domain for the manifold v2678(2,1)
animation
Dirichlet domain for the complement of the figure-eight knot
animation
Dirichlet domain for the double cover of Vol3