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Message from discussion Polyhedron

I.N. Galidakis

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More options Oct 6 2008, 6:53 am

Newsgroups: sci.math, comp.soft-sys.math.maple

From: "I.N. Galidakis" <morph...@olympus.mons>

Date: Mon, 6 Oct 2008 13:53:01 +0300

Local: Mon, Oct 6 2008 6:53 am

Subject: Polyhedron

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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.

Many thanks,
--
I.N. Galidakis

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