"Ben T. Scheele" <sch### [at] tcumnedu> wrote in message
news:40917e61$1@news.povray.org...
>
>       I also came across that form, in a book actually.  It is
called
> the "tanglecube", which you can find on Mathworld, at
> mathworld.wolfram.com/Tanglecube.html .  It is neat to see it again.
I
> used it in MegaPOV I think, so now I'll try it in POV 3.5.

I had not realised how easy it could be converting an expression to
use in an isosurface.

This was my first attempt:

<Mathsworld>
A quartic surface given by the implicit equation
x^4 - 5x^2 + y^4 - 5y^2 + z^4 - 5z^2 + 11.8 = 0
</Mathsworld>

#declare Tanglecube =
function{ pow(x,4) + pow(y,4) + pow(z,4)
        - pow(x,2)*5 - pow(y,2)*5 - pow(z,2)*5
        + 11.8 }

isosurface { function{ Tanglecube(x,y,z)-1 }
    contained_by { box { -3, 3 } }
    max_gradient 86
}

Alf

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