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Author Topic: Spheres on spheres  (Read 679 times)
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bib
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« on: March 19, 2012, 12:43:59 PM »

Spheres on spheres



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=10734

Just trying to play with the "spheres on spheres" grail-ish concept. It does not look close to a real 3D Mandelbrot, so please try to improve it!  afro

Mandelbulb3Dv17{
X.....w....o0...w....2....kNbKzFlM8..roex5fYkN1EqCni4EazrzvseHOZ7IIczMZkqM14V9wj
................................Y49TIfhX..2........A./..................y.2.....
................/Q.0/.....U//...O.....E2.....otdcuPjN4pD/Q.........m/dkpXm1....U
z.....kD12..0..........wz..................................u1....y1...sD...../..
.w1...sDcnG8yiXOExXeiDB7x5Txy.gJGz1CXwpjc/OpZ6uJHxPkyPFW58vKzY85oD8a6DojSDmvuZpN
Mx1g/qVvXXPJz6gwGj8MpcoD......oL1...t0........kD/2....sD..E.....................
.............oAnAr1...sD....z./Sk3.gs/L.EZ5Q/.TSk3.Yu/L.kg5Q/.xSk3......A....k1.
..................kz.wzzz1.U..6.P....M4...EB....W....k1....F....8/...I1.....SF52
...U.qFG9yzb2zzzRYoWzz7lz16.0c..zXCc..k18XGQeGyD/sIRhrVAkz1..........2.28.kFrA0.
.Ub96aAIVz9.1se7Umvxz0........../6U0.wzzz1................................E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1...................................2CcN/UvNP6.eeWCNq0.yRii.EJJUk1f..XR
S1.mx3CcN/UvNP6.QsLsUa3.ibhV..bTV1OK.sSq40.ly3CcN/UvNP6.MwLsUa3.ibhV.kqTV1OK.sSq
40.kz3CcN/UvNP6...EsUa3.eeWCNq0.IJ36wk8.wyLsUa3.................................
E....A....E.....I....Y....kQkVKNmJKG4B3.rJaQ..........................U1C.U1Dwk1
0..................wz..........E.............................U.E........kz1.....
...wz.........zD........kz1.....................................................
.....................2.....3....8....EbQVtqQaxaQhZYFH/..........................
....4MU/06U..................................................O3E................
........................kz1..........YNaNaNaN4zD................................
................................/....E/....0....Ex4PtNoPgFKG4B3.................
..............U/4MU..6..........................................................
........................E.24hE2Jv5G0./..................kz1.....................
............................................}

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bib
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« Reply #1 on: March 19, 2012, 01:53:12 PM »

another attempt with Sierpinski style symmetry (see attached)

Mandelbulb3Dv17{
X.....w....o0...8....2....UO0wpZCXCtzeVVZ3D1Ty5EEuGxXWUngzPLG3b10xCczU5z6f3nDGvj
................................V7GF16kvP.2........A./..................C/2.....
................/Q.0/.....EA/...M....2E2.....AFPXvDfRHnD/Q.........m/dkpXm1....U
z.....kD12..0..........wz..................................u1....y1...sD...../..
.w1...sDiXWnQo.SPvPTHNjutUZAzgFw1Aw.SDmDkt6Gxhj2owP5.0wtAbf.z.gWtVJY0HljGhDGljLh
Kw9vc1xTiCp6zKezdPjgN4nD......If....O.........kD/2....sD..E.....................
.............oAnAr1...sD....z./Sk3.gs/L.EZ5Q/.TSk3.Yu/L.kg5Q/.xSk3......7....k1.
..................kz.wzzz1.U..6.P....M4...EB....W....k1....F....8/...I1.....SF52
...U.qFG9yzb2zzzRYoWzz7lz16.0c..zXCc..k18XGQeGyD/sIRhrVAkz1..........2.28.kFrA0.
.Ub96aAIVz9.1se7Umvxz0........../6U0.wzzz1................................E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1...................................2CcN/UvNP6.eeWCNq0.yRii.EJJUk1f..XR
S1.mx3CcN/UvNP6.QsLsUa3.ibhV..bTV1OK.sSq40.ly3CcN/UvNP6.MwLsUa3.ibhV.kqTV1OK.sSq
40.kz3CcN/UvNP6...EsUa3.eeWCNq0.IJ36wk8.wyLsUa3.................................
E....6....E.....I....Y....kQkVKNmJKG4B3.rJaQ..........................U1C.U1Dwk1
0..................uz........U.E.............................U.E........kz1.....
...wz.........zD........kz1.....................................................
.....................2.....3....8.....pPgZbFjl4N3VLG4B3.........................
....4MU/0.U.....................................................................
............../EMo0FIhT67.2........2.VF92FpyVY.E................................
................................}





* Spheres on spheres 3.jpg (43.84 KB, 480x360 - viewed 211 times.)
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Rathinagiri
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« Reply #2 on: March 19, 2012, 05:48:16 PM »

Superb!
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bib
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« Reply #3 on: March 19, 2012, 05:55:51 PM »

Thanks! Please grab the params and try to enhance them to make it look more like the "real 3D-brot" -even if we know this won't be possible to make it for real with IFS smiley
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hobold
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« Reply #4 on: March 19, 2012, 10:14:29 PM »

Please don't be disappointed, but this is not a new idea. Just google for "Sphereflake" to see prior art.
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bib
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« Reply #5 on: March 19, 2012, 10:31:47 PM »

No probs, I knew I had seen that before cheesy, I was just trying to make it with Mandelbulb3D!

I must admit that I still have some hard time understanding how dIFS work, even after having carefully studied Darkbeam's tutorials. For example I don't really understand how the order of the formulas affect the final result. With trial and error one can have fun though!

So, as regards to this "sphereflake", what I'm trying to do is to insert smaller spheres between the large ones (like smaller buds between the large buds in the 2D M-set) but so far I've had no success, because when I try to insert another SphereIFS formula with its own transform (I try with transformIFS and PolyFoldEx-symIFS ad I never know if I should put them before or after!) it affects what I had before...

Help!! cheesy:D
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DarkBeam
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« Reply #6 on: March 20, 2012, 09:42:49 AM »

PolyFoldEx-symIFS -> reflects what's on a slice of the space to the entire space, put at first then other stuff wink

But there is no sure recipe I guess shocked alien
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DarkBeam
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« Reply #7 on: March 20, 2012, 09:43:29 AM »

PolyFoldEx-sym is a Sierpinski-based transform police
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