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MichaelJF <fri### [at] t-online de> wrote:
> It took me a while to understand this weird javascript recursion and I
> mixed up some - with + or vice versa:
Excellent!
Now that there's some working SDL, I can try to understand where things went off
the rails, and try to make some variations.
Maybe a nested Appolonian gasket, but also one with circles in between 2
straight lines (circles with infinite radius, curvature of zero, resulting in
"Ford circles)
Thanks so much, Michael!
- BW
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But for now...
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Attachments:
Download 'mjf_appolloniancylinders.png' (119 KB)
Preview of image 'mjf_appolloniancylinders.png'
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And
#macro DrawCircle (C, PigmNr)
//#debug concat( "C = ", vstr(3, C, ", ", 0, 3), " \n")
//torus {abs(C.z), Line texture {pigment {colour Colours[PigmNr]} finish
{emission 1}} rotate x*90 translate <C.x, C.y, 0>}
#if (C.z > 0 & C.z < 0.6)
sphere {0, abs(C.z) scale <1, 1, 1+pow(abs(C.z), 0.001)> texture {pigment
{colour Colours[PigmNr]} finish {specular 0.4}} translate <C.x, C.y, 0>}
#end
#end
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Attachments:
Download 'mjf_appollonianellipsoids.png' (133 KB)
Preview of image 'mjf_appollonianellipsoids.png'
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And of course, because the Appollonian gasket is a foam, . . .
bubbles!
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Attachments:
Download 'mjf_appollonianbubbles.png' (608 KB)
Preview of image 'mjf_appollonianbubbles.png'
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and with a nested gasket, we could do a sort of Sierpinski triangle.
There's some kind of transformation that makes them isomorphic.
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Attachments:
Download 'mjf_appolloniantriangles.png' (64 KB)
Preview of image 'mjf_appolloniantriangles.png'
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On 17/06/2024 23:49, Bald Eagle wrote:
> Excellent!
> Now that there's some working SDL, I can try to understand where things went off
> the rails, and try to make some variations.
I've updated my page and published the code (at the very bottom).
<http://louisbel.free.fr/scenes/scene038.shtml>
Sorry, still in French
--
Kurtz le pirate
Compagnie de la Banquise
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On 18/06/2024 00:50, Bald Eagle wrote:
> And of course, because the Appollonian gasket is a foam, . . .
>
> bubbles!
>
GREAT Bubbles. Very good job.
--
Kurtz le pirate
Compagnie de la Banquise
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Just posting this here for reference.
https://www.johndcook.com/blog/2023/12/19/conformal-map-disk-triangle/
Would be cool to apply this to the gasket to see what pops out - probably a
Sierpinski Triangle.
Search: conformal mapping of circle to a triangle
- BE
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Now with lenses!
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Attachments:
Download 'mjf_appollonianlenses.png' (451 KB)
Preview of image 'mjf_appollonianlenses.png'
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Am 19.06.2024 um 02:36 schrieb Bald Eagle:
> Now with lenses!
somewhat crazy, but very interesting;)
Best regards
Michael
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