POV-Ray : Newsgroups : povray.object-collection : Has this interesting isosurface a common name? : Re: Has this interesting isosurface a common name? Server Time
24 Apr 2024 00:02:31 EDT (-0400)
  Re: Has this interesting isosurface a common name?  
From: Alain
Date: 18 Jan 2012 16:46:26
Message: <4f173db2@news.povray.org>

> I tried to render a 3D version of the quadrifolium
> (http://mathworld.wolfram.com/Quadrifolium.html)
> but my first try of a 3D variant of its formula does not work. So I
> changed the formula arbitrarily and got a nice object, see attachment.
>
> Do anyone know a common name of this nice thing? :-)
>
> 		Lars R.
>
>
> -----<snip>-----
> isosurface
> {
> // does not work:
> //	function { pow(x*x + y*y + z*z  , 3) - 12 * x*x * y*y * z*z }
>
> // works and looks interesting:
>          function { pow(x*x + y*y + z*z  , 3) - 12 * x*y*z }
>          contained_by { box{ -1,+1 } }
>          accuracy 0.001
>          max_gradient 100
>
>
>          pigment { color rgb<0.3,0.6,0.9>  }
>          finish { phong 0.1 reflection 0.2 }
>
>          rotate y*30
> }
>
>
> light_source {<-3,6,-9>  color 1
>          area_light<0.5,0,0>,<0, 0.5, 0>, 4,4 jitter
> }
>
> //light_source {<1,9,-2>  color 0.4 }
>
> box
> {
>          <-9.9,-9.9,-9.9>  ,<+9.9,+9.9, +9.9>
>          pigment { checker color rgb 0.5 color rgb 0.77 }
> }
>
> camera
> {
>          location<0,5,-9>
>          look_at<0,0,0>
>          angle 20.3
> }
>
> -----<snap>-----
It looks like the SP hybrid electron orbitals.

Alain


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