david sharp wrote:
>
> This is an example of a 'parametric surface' from
> pure POV-Ray 3.1
>
> The scene file and include file are posted in
> povray.text.scene-files under the thread name
> 'parametric surfaces'.
Hi David,
In response to your question as to what the heck is it I can
only tell provide you with the incredibly short description of
the function that I can remember from a few months ago. The
function had no detailed description available and only vague
references were given for it at the site I visited. I'm doing
this from memory so please forgive me my inaccuracies.
The cycloid shape is a derivative of the classic klien bottle.
In this form very small changes in the parameters for this
function will result in several exciting and beautiful patterns
that have the repeatable trait of always looping back onto
themselves. This can be witnessed by the behaviour of the
function in the images provided below.
When I copied the function down a few months ago I also
copied the images while there. See below for other instances
of this mathematically generated shape.
One thing I find personally interesting is that your example does not
match any of the those in the image below. I seems this shape has
many different faces it can wear.
--
Ken Tyler
mailto://tylereng@pacbell.net
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