William F Pokorny <ano### [at] anonymousorg> wrote:

> It is a cool shape.

Yes, and relatively simple, so I was surprised there wasn't a lot more out there
about it, and that I hadn't come across it in my broad and extensive reading
about Dupin cylcides, Clifford tori, geometric inversion, embedding in 3-space,
Villarceau circles, etc.

> "I couldn't resist trying it..."

lol - well of course not.  :D

> What were you using for settings and seeing for run times?


I have some actual parametric code in the scene that stays commented out, so I
didn't use that.   I use Paul Nylander's method of calculating stepwise points
on a grid of the function and fill in those quadrilaterals with 2 triangles.
This was run in steps of Theta/240 and phi/60

I suppose I ought to calculate some vertex normals and upgrade the code to use
smooth_triangles.   And the face normals seemed to be inverted from what I
expected - so it totally needs work.  But I can mark all the vertices and draw
the grid just by setting the flags to run those code blocks.

And it's - FAST.  :)



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