Cameloid
The Cameloid is a one-parameter deformation of the fournoid of Jorge-Meeks
(see postscript-files below).
It contains a minimal surface that has all symmetries of a tetrahedron
(see third ps-file).
In general there are four points where 180-degree rotation around the normals
is a nontrivial symmetry of the surface. Additionally there are two
perpendicular planes of reflectional symmetry.
The four catenoid-ends of this surface intersect, so the family is not
embedded. In the limit you get two touching catenoids.
How do I get the complete surface from the symmetries when using
GRAPE?
The input file name of these surfaces is cameloid.am.
The fundamental piece has two planar geodesic lines and one point
where 180-degree rotation around the normal is a symmetry.
First of all, you have to find the point with rotational symmetry.
After rotational-reflection you have to reflect along the two planar symmetry
lines.
For further information see also the article "Das Cameloid",
which was published in the
GRAPE newsletter volume 2.
Return to the surface list.
Return to the project list.
Go back to the main menu.
grape@iam.uni-bonn.de
