>> I am trying to visualize what looks like a particular polyhedron(?), but I
>> am
>> having a bout of stupidity and cannot figure something simple about it.

>> I am describing the shape, section-wise:

>> Consider the unit circle on the xy-plane. Put vertexes at exp(2*k*Pi/8*i),
>> k \in
>> {0,1,...,7}

>> Rotate the unit circle around the x-axis by Pi/4.

>> Consider the new unit circle on the xy-plane. Put again vertexes on the new
>> unit
>> circle at exp(2*k*Pi/8*i), k \in {0,1,...,7} (vertex duplicity allowed).

>> Rotate the new unit circle around the x-axis by Pi/4 (this will make the
>> first
>> unit circle perpendicular to the xy-plane).

>> Repeat 7 times, until the first unit circle rotates back to its initial
>> position.

>> What is the name of the resultant polyhedron? It has a total of 26
>> vertexes.

>> If anyone has any online refs of the resultant polyhedron or can cook up
>> some
>> Maple code to visualize this polyhedron (preferably with rotational
>> animation),
>> I'd appreciate it.

> plot3d(1, theta=0..2*Pi,phi=0..Pi,coords=spherical,grid=[9,5]);
> P:= %:
> plots[display]([seq(plottools[rotate](P, 0, 0, 10*i),
>    i=0..35)],insequence=true);

> <http://www.math.ubc.ca/~israel/problems/poly.gif>