Last edited 21dec97 by
Here are three eversions from the rtica ``five''
followed by some new eversions, and finally a real treat:
This new project is based on Ken Brakke's Polycut and deals
with branched coverings.
everts a cylinder. It
is based on Bernard Morin's 1977 formulas.
The next two are sphere eversions made by Francois Apery and
Chris Hartman in the summer of 1992. The
is a piecewise linear version of the
An admittedly still poor
minimax sphere eversion is fresh out of the film can.
If you have trouble viewing it, please let us know. It was
encoded with mpeg_encode, and we know that mpeg_play does not
do a good job decoding it. But most other mpeg decoders work
There will be more here on these and other homotopies here soon.
And, hopefully, better mpegs.
Here are two eversions of the sphere that will be part of the
Optiverse (stay tuned).
takes a double cover of Boy's surface to a sphere down the minimax Willmore energy
gradient, while Bivert
is a remake of earlier eversion. It takes Morin's surface down the minimax Willmore