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Author Topic: Amazing fractal  (Read 36103 times)
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Jesse
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« Reply #15 on: February 02, 2010, 11:12:34 PM »

Here is the Scale=3 version, huge cubes.

Thanks Tglad for these, too. Very amazing.


* cath3med.jpg (254.41 KB, 1000x1000 - viewed 325 times.)
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kram1032
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« Reply #16 on: February 03, 2010, 12:57:09 AM »

It's really a nice class of fractals smiley
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msltoe
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« Reply #17 on: February 03, 2010, 01:45:40 AM »

This fractal deserves an animated fly-through.
Here's a zoom of the center of a face of the cube:


* mand.cath_scale3_closeup2.jpg (224.84 KB, 800x800 - viewed 300 times.)
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Tglad
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« Reply #18 on: February 03, 2010, 03:41:34 AM »

Thanks David for the info.
I've attached the ufm, it is using David Makin's latest code, but the non-DE White Mandelbulb formula runs this fractal instead. Look for FoldUp() function for the innards.
So just set DE method to smooth iteration, or hopefully this setup will work... just copy the text and ctrl-c on the fractal view window.

Code:
mandelbrotbox {
::cH4X4jn21h1WPSupS43Xp9/QL/UimdcbwY3uzKeIb6NSRa3kNnV6k3Ojw24uJD+S8lZme+1n
  iL2gdPH/UVA1HfUUUF4qeWxIT+Tv/d72NKGlcaQNrpkLz7bHzbfJY3ziyxL0soodX4izXG1i
  S2Ve/AFpMronXKGHoBjy2n5fEvPePOCF9xTsnEl7+K7RRzHR7RZ6WDe/702qnwCW3oothG8J
  Wxjn7bnaKD212xKEjXpIYaq5jXaLp1TyRRHbYY3YPrZoj1zbGpX5Dv/d1suORzZDcQr8eaUY
  UUUaEJKFhT2ffUYCOO5QcEGleEtrmduhSCjPiPSIHf/7qa7B4ZaAqZvIUIgi21x7LuwLek2W
  VtrSI5Nsaw381v+rPL6iPFOVVHsDmv+r0g/63+W8pkAFCdPMNwH7FnpNtgyIfAcqG5nAHmax
  iCB0fY4S7zimqWTf1tPB+whRF3NwUZ2XGv2xpf1shMJzVdMVembBxOoPB9Q/rLA1XZb8JgvK
  v/u4T7e9/hvrIA6sTONAT6qRSgR+nTMYp3AM0N2hWpoke6z7/NoLmaryYGsL0Z3aC+WroZUt
  v0FY751eBNaf0s2f/oVrtPXMq9vpGYmd3kIV35MhsdaEc+YixFNy6HXwSrZwyYtpBlHDUKab
  GUjF2tjS2HFmN3GYB0Gev3wU2gMY0BBs9UseCq7eunqsrUAbVgPOTbCsfe6z0gvX32OeZ3ij
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  zPM8P9j/wVIDGkF7H/xgdVP8aVDVUCrWXIvstg+l2C9MpAYa0RnfRLpiD+UNUMsuKESv+TQi
  /H+Z5I0m9kPIF+0Dn5N8eRhuY1cbgJQi7q865s0Qr1tlQ1jTin2hS9AYgDHcR4YSSqtFVRVr
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  VAmerTMdLJT9BM1HwUKOLEt1LeYDJPsFwD+AeYjX8ANJMF7zxsN4ltFvMKelXUNgEHiZU0xw
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  ASXNtSBMpqZXdxQ7sLVPNAZGtSGpq3r1ylqr8Zv5kq088FElmrrYsvfWRFRf2XJfRx6RZ1mV
  x/hX3au7Fgq6JWUzjiAV4hOaCaE7dXJy0wZrHwol7pZWQqgzmJz0MMnJUrhcz6TiBRukjsuI
  JSNp4ZpeLoalze3JD5NjSk6Ji0/oqCeRsWf5CqS42p3HbHl6mjoo9kFMAqa3klDXQzopII+G
  CinJIW7VWIC2nlYPviWZhi4NUE7fJXJ2xSsilkk9pGtVUE7TxYLFNQYZZ8MLjtscWelyZflc
  vFT8GWG7ckxOKGviixWKOHNeJ2nlkbckkZKS8oIZd8lW/sfnLOSyGKScUkYo4MErYJZljk4T
  xkboYiLxjMxjlJ+OyEfKm4TxEPKOjijlJOHZyKKmsiiJeeDFLTvhlpzOyUPKm6Tx0NHaS9ZZ
  6GHZqjipOKmuQxZMWxyUD6imB4dPmftn6/mVBJylmHF4+jWfHyWXy6LDnKkL/RrT8K2kcEep
  C8w8FQg3QNo+zc6Kx//REe/DRjmyGLgwznI53P/QvTie4R3B+/UslXE22APffOLq9nMtU9Z5
  XDYzeZrHDFfMS5C2wcCvWvfzRVTxMPnzwb+jMqUiGxpKbpqln47egqzHBvEcW5BzvEKwforf
  R4GcgOVyaINvXcldqnMDeL/hsFA/fXlr1lfcGczYwkZg0bZDaOq9OimS+Lwdq0TANBdkkhjs
  tiQR22zyA54Mb7YiuGtpLyhkDkD2eiPkZb+IGRSJQ1T7Pu1feh9KzwjW+tu4EYo/L0/7aYI=
}
Twinbee "not seen anything really like it..
No nor me, much more man-made looking, and really nothing even like its cousin in the link at the top of the thread.

* MMFwip3D.zip (68.94 KB - downloaded 250 times.)
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David Makin
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« Reply #19 on: February 03, 2010, 05:08:09 AM »

Thanks David for the info.
I've attached the ufm, it is using David Makin's latest code, but the non-DE White Mandelbulb formula runs this fractal instead. Look for FoldUp() function for the innards.


Actually that's just the upr (parameter file) so unless others manage to modify their versions of the ufm it won't render correctly.

@Tglad:
If you send me your modified versions of the ufm itself and the modified version of the ulb then I'll incorporate your method properly in my next update (if you'd like me to do that) - just send them in a zip to makinmagic@tiscali.co.uk
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David Makin
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« Reply #20 on: February 03, 2010, 04:12:14 PM »

Thanks David for the info.
I've attached the ufm, it is using David Makin's latest code, but the non-DE White Mandelbulb formula runs this fractal instead. Look for FoldUp() function for the innards.


Actually that's just the upr (parameter file) so unless others manage to modify their versions of the ufm it won't render correctly.

@Tglad:
If you send me your modified versions of the ufm itself and the modified version of the ulb then I'll incorporate your method properly in my next update (if you'd like me to do that) - just send them in a zip to makinmagic@tiscali.co.uk


:blush: !!! Sorry all, I missed the fact that it had the zip attached smiley
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bib
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« Reply #21 on: February 03, 2010, 06:04:51 PM »

I'm sorry to be such an ignorant, but I get an error: "MMFwip3D.ufm (2596:23): Field or method name expected", that points to the line "point.FoldUp()"
Although the func FoldUp() is at the top of the code.
What did I do wrong?
« Last Edit: February 03, 2010, 06:18:23 PM by bib » Logged

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Tglad
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« Reply #22 on: February 04, 2010, 12:04:40 AM »

Maybe you still have the Vector class defined in the ulb file, so it is finding this one.. without the FoldUp() function.
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bib
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« Reply #23 on: February 04, 2010, 10:35:10 AM »

Maybe you still have the Vector class defined in the ulb file, so it is finding this one.. without the FoldUp() function.

YES!
Now it works. Many thanks smileysmiley
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bib
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« Reply #24 on: February 04, 2010, 05:33:26 PM »


http://www.fractalforums.com/gallery/1/492_04_02_10_5_32_29.jpeg


http://www.fractalforums.com/gallery/1/492_04_02_10_5_31_29.jpeg
« Last Edit: February 04, 2010, 09:18:01 PM by bib » Logged

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Timeroot
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« Reply #25 on: February 04, 2010, 05:38:59 PM »

I love these. And after seeing the code, I finally understand what Tglad means when he's always talking about "folding Polyhedra in on themselves" - I'm curious what the "Amazing fractal" would look like when folded into a tetrahedron/octohedron? Since icosahedra and dodecahedra don't tile the plane, could you make a similar for one those too? I love these so much! The small "incisions" in cubes which are totally flat... and yet it's a fractal, without a doubt. 2 thumbs up! Repeating Zooming Self-Silimilar Thumb Up, by Craig Repeating Zooming Self-Silimilar Thumb Up, by Craig
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Jesse
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« Reply #26 on: February 04, 2010, 05:48:10 PM »

Fine images, bib. Seems to work very good - cant wait to see the next zooming vids  grin

The location of the first one looks very interesting, think thats the location i just wanted to explore further.
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bib
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« Reply #27 on: February 04, 2010, 05:52:26 PM »

The small "incisions" in cubes which are totally flat...
Cubes look flat due to precision. Decreasing solid threshold and zooming reveals more incisions of course. So their surface could be infinite.

Fine images, bib. Seems to work very good - cant wait to see the next zooming vids  grin

The location of the first one looks very interesting, think thats the location i just wanted to explore further.
The first one is special because I used a spherical clip that reveals some feature of the "inside"
« Last Edit: February 04, 2010, 06:06:08 PM by bib » Logged

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Jesse
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« Reply #28 on: February 04, 2010, 06:36:50 PM »

The first one is special because I used a spherical clip that reveals some feature of the "inside"

I already thought of this, because this happens all the time in my program by accident (hard to navigate).

This could be the next cubic death star in the next star wars film, i guess...


* cath2detail2.jpg (251.67 KB, 900x600 - viewed 362 times.)
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bib
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« Reply #29 on: February 04, 2010, 09:04:19 PM »


This could be the next cubic death star in the next star wars film, i guess...



http://www.fractalforums.com/gallery/1/492_04_02_10_8_11_53.jpeg
« Last Edit: February 04, 2010, 09:17:29 PM by bib » Logged

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