Karl Anders wrote:
> Me too, absolutely!
> 
> I just got a minor problem with posting on cgsphere.com...
> 
> Since a bit more than a week, I can't reach that site. Are they having problems
> or do I have problems?

Thanks!  I do recall I wasn't able to get connected to the site last 
week, but then the next day I was.  I haven't tried in a few days. 
Perhaps they are fiddling with the hardware.

-- 
// The Mildly Infamous Blue Herring
#version 3.61;#include"functions.inc"global_settings{assumed_gamma
2.2}isosurface{function{-f_strophoid(x/2-.45,y,z*3,1,1.2,1,1.5)-.05}
contained_by{box{<-2.1,-1,-1/3>,<1.4,1,1/3>}}max_gradient 12inverse
hollow pigment{rgbf 1}interior{media{samples 8 emission<3,80,150>/255
density{crackle metric 1color_map{[0rgb 6][.03rgb 0][1rgb 0]}scale<1,
2,1>warp{turbulence<.5,.75,.5>}scale 1/3}}}translate z*3}

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Thomas de Groot wrote:
> He He!! Reminds me of my image back in 2005.
> 
> (My previous message got the wrong address. Should be:
>
http://news.povray.org/povray.binaries.images/thread/%3C42f0bd88%40news.povray.org%3E/?mtop=6
> 
> Nice!

Thanks, I knew this had been done before, but hadn't yet seen yours yet. 
  Very nice.  Glad I'm just shooting for a cgsphere, I think you've set 
the bar for a Kepler scene :)

-- 
// The Mildly Infamous Blue Herring
#version 3.61;#include"functions.inc"global_settings{assumed_gamma
2.2}isosurface{function{-f_strophoid(x/2-.45,y,z*3,1,1.2,1,1.5)-.05}
contained_by{box{<-2.1,-1,-1/3>,<1.4,1,1/3>}}max_gradient 12inverse
hollow pigment{rgbf 1}interior{media{samples 8 emission<3,80,150>/255
density{crackle metric 1color_map{[0rgb 6][.03rgb 0][1rgb 0]}scale<1,
2,1>warp{turbulence<.5,.75,.5>}scale 1/3}}}translate z*3}

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Jörg 'Yadgar' Bleimann wrote:
> High!
> 
> Kepler? Probably I lack some background knowledge on how Kepler found 
> the laws of planetary movement, I just see a rendition of (some) 
> Platonic solids fitted into concentric spheres! What's so Keplerian 
> about it?

That's exactly what it is :)  Kepler noted similarities between how 
these platonic solids were nested and the orbital distances of the 
planets.  He published drawings of  this model in a work called the 
Mysterium Cosmographicum.  I think he wanted a real one to be made, but 
I don't think he ever did.

Check out:
http://en.wikipedia.org/wiki/Mysterium_Cosmographicum
http://en.wikipedia.org/wiki/Kepler#Mysterium_Cosmographicum

-- 
// The Mildly Infamous Blue Herring
#version 3.61;#include"functions.inc"global_settings{assumed_gamma
2.2}isosurface{function{-f_strophoid(x/2-.45,y,z*3,1,1.2,1,1.5)-.05}
contained_by{box{<-2.1,-1,-1/3>,<1.4,1,1/3>}}max_gradient 12inverse
hollow pigment{rgbf 1}interior{media{samples 8 emission<3,80,150>/255
density{crackle metric 1color_map{[0rgb 6][.03rgb 0][1rgb 0]}scale<1,
2,1>warp{turbulence<.5,.75,.5>}scale 1/3}}}translate z*3}

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Blue Herring wrote:

> That's exactly what it is :)  Kepler noted similarities between how 
> these platonic solids were nested and the orbital distances of the 
> planets.  He published drawings of  this model in a work called the 
> Mysterium Cosmographicum.  I think he wanted a real one to be made, but 
> I don't think he ever did.

Kepler struggled for years with this idea, but did use models, probably 
cheaply and simply made by himself, with no success.  I don't remember 
if there was a "prescribed order" to the solids and nesting of same, 
only that each attempt sent him back to another fit of calculation.  It 
was the eccentricity of the orbit of Mars, when he finally got the data 
compiled by Tycho that led him to try to fit the orbit to an ellipse. 
But each of his three laws of planetary motion were many years between 
them.  An admirable and determined man that fully earned the title of 
scientist.

Rich

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"Blue Herring" <pov### [at] bherringcotsenet> schreef in bericht 
news:48da5823$1@news.povray.org...
>  Glad I'm just shooting for a cgsphere, I think you've set the bar for a 
> Kepler scene :)

Oh don't say that! CGSphere demands high quality too!!  :-)
I am very curious to see how your scene is going to evolve.

Thomas

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Interesting.


Any chance you might be willing to share the source?

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Woody wrote:
> Interesting.
> 
> 
> Any chance you might be willing to share the source?
> 

Thanks.  Sure thing, just let me clean up some dependencies.  Be warned, 
  I'm pretty sure there is at least one flaw in my math so far, since a 
couple of those solids are protruding from their spheres.

-- 
// The Mildly Infamous Blue Herring
#version 3.61;#include"functions.inc"global_settings{assumed_gamma
2.2}isosurface{function{-f_strophoid(x/2-.45,y,z*3,1,1.2,1,1.5)-.05}
contained_by{box{<-2.1,-1,-1/3>,<1.4,1,1/3>}}max_gradient 12inverse
hollow pigment{rgbf 1}interior{media{samples 8 emission<3,80,150>/255
density{crackle metric 1color_map{[0rgb 6][.03rgb 0][1rgb 0]}scale<1,
2,1>warp{turbulence<.5,.75,.5>}scale 1/3}}}translate z*3}

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Blue Herring wrote:
> Woody wrote:
>> Interesting.
>>
>>
>> Any chance you might be willing to share the source?
>>
> 
> Thanks.  Sure thing, just let me clean up some dependencies.  Be warned, 
>  I'm pretty sure there is at least one flaw in my math so far, since a 
> couple of those solids are protruding from their spheres.
> 

The source has been posted in p.b.sf.

-- 
// The Mildly Infamous Blue Herring
#version 3.61;#include"functions.inc"global_settings{assumed_gamma
2.2}isosurface{function{-f_strophoid(x/2-.45,y,z*3,1,1.2,1,1.5)-.05}
contained_by{box{<-2.1,-1,-1/3>,<1.4,1,1/3>}}max_gradient 12inverse
hollow pigment{rgbf 1}interior{media{samples 8 emission<3,80,150>/255
density{crackle metric 1color_map{[0rgb 6][.03rgb 0][1rgb 0]}scale<1,
2,1>warp{turbulence<.5,.75,.5>}scale 1/3}}}translate z*3}

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Blue Herring <pov### [at] bherringcotsenet> wrote:
> Blue Herring wrote:
> > Woody wrote:
> >> Interesting.
> >>
> >>
> >> Any chance you might be willing to share the source?
> >>
> >
> > Thanks.  Sure thing, just let me clean up some dependencies.  Be warned,
> >  I'm pretty sure there is at least one flaw in my math so far, since a
> > couple of those solids are protruding from their spheres.
> >
>
> The source has been posted in p.b.sf.
>
> --
> // The Mildly Infamous Blue Herring
> #version 3.61;#include"functions.inc"global_settings{assumed_gamma
> 2.2}isosurface{function{-f_strophoid(x/2-.45,y,z*3,1,1.2,1,1.5)-.05}
> contained_by{box{<-2.1,-1,-1/3>,<1.4,1,1/3>}}max_gradient 12inverse
> hollow pigment{rgbf 1}interior{media{samples 8 emission<3,80,150>/255
> density{crackle metric 1color_map{[0rgb 6][.03rgb 0][1rgb 0]}scale<1,
> 2,1>warp{turbulence<.5,.75,.5>}scale 1/3}}}translate z*3}

Thanks.

I tried using the solids Paul Bourke posted at
http://local.wasp.uwa.edu.au/~pbourke/geometry/platonic/

But I can't seem to get the proportions or position right.

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Woody wrote:
  > Thanks.
> 
> I tried using the solids Paul Bourke posted at
> http://local.wasp.uwa.edu.au/~pbourke/geometry/platonic/
> 
> But I can't seem to get the proportions or position right.
> 

No prob.  On cursory examination of those I couldn't work out whether 
the edge length or radius is uniform, but I didn't do any calculating. 
I cheated and just made the shapes for mine in Wings, mainly because it 
was a quicker way to get the type of hollowing I wanted, and copied the 
edge length of each into the include file for the calculations.  The 
spheres/shapes having non-zero thick walls made things more complicated. 
  However, something still must be wrong, or they wouldn't protrude like 
that.

-- 
// The Mildly Infamous Blue Herring
#include"functions.inc"isosurface{function{-f_strophoid(x/2-.45,y,
z*3,1,1.2,1,1.5)-.05}contained_by{box{<-2.1,-1,-1/3>,<1.4,1,1/3>}}
max_gradient 12inverse hollow pigment{rgbf 1}interior{media{samples
8 emission<3,80,150>/255density{crackle metric 1color_map{[0rgb 6]
[.03rgb 0][1rgb 0]}scale<1,2,1>warp{turbulence<.5,.75,.5>}scale 1/
3}}}translate z*3}

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