Twister is a program for building triangulations of
three-manifolds, from the viewpoint of the mapping class group. The
program is now maintained by Mark Bell and can be obtained at his blog. Also available
there are python scripts, using Twister and SnapPy, for generating
censuses of hyperbolic manifolds. Please see CompuTop for material on SnapPy
(maintained by Nathan Dunfield and Marc Culler) and other topological
Other than the genus two census, the material below is out of date.
Here's the download file: twister.tar
posted 13/06/2008 (Unix only).
To unpack it type "tar -xvf twister.tar" at the command line.
For further explanation please read the documentation file format_twister.
We have produced a pair of lists. The first contains (probably) all genus two bundles
over the circle with monodromy of length ten or less. The second does the same for the pure mapping class
group of the twice-holed torus. We used Twister, SnapPea,
and the Python front
end for Snappea.
Please send any questions or comments to
or Tracy Hall.
Lots of other low-dimensional software can be found at CompuTop,
maintained by Nathan Dunfield.
Homepage: To my
Warwick: Up to the
math department webpage.