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From: Lars R
Subject: Has this interesting isosurface a common name?
Date: 18 Jan 2012 05:34:54
Message: <4f16a04e@news.povray.org>
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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>-----
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Attachments:
Download 'ok.png' (60 KB)
Preview of image 'ok.png'
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From: Alain
Subject: Re: Has this interesting isosurface a common name?
Date: 18 Jan 2012 16:46:26
Message: <4f173db2@news.povray.org>
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> 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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From: Le Forgeron
Subject: Re: Has this interesting isosurface a common name?
Date: 18 Jan 2012 16:47:46
Message: <4f173e02$1@news.povray.org>
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Le 18/01/2012 11:34, Lars R. nous fit lire :
> Do anyone know a common name of this nice thing? :-)
>
> Lars R.
As a 6th order polynomial, it might (unchecked!) be some aspect of Boy's
Surface.
You might enjoy Goursat's dodecaedric surfaces...
http://www.mathcurve.com/surfaces/goursat/goursat.shtml
Post a reply to this message
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