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Author Topic: Glowing Cube Divided  (Read 1602 times)
Description: Classic palette burning ship zoom
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youhn
Fractal Molossus
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Shapes only exists in our heads.


« on: September 06, 2014, 08:34:10 PM »


Source: http://jeroensnake.deviantart.com/art/Glowing-cube-divided-480635196

From a distance it looks like a cube. A little closer and you can see it's open (diagonally cut in half). Zoom even further and it will all fall apart. Lines to cubes, cubes to dust.
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Kalles Fraktaler
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« Reply #1 on: September 06, 2014, 09:13:22 PM »

Hexagon? smiley
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youhn
Fractal Molossus
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Posts: 696


Shapes only exists in our heads.


« Reply #2 on: September 08, 2014, 06:27:02 PM »

No, No, No...

Cube.  confused



Well, sort of ...

This is about what I thought I was seeing imagining.
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stardust4ever
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« Reply #3 on: September 11, 2014, 07:19:01 AM »

Awesome...

I've got a long assed KF zoom movie on the backburner right now (burning ship to 1e360)

Tip I learned, Burning ship always replicates the part of the image on the lower half of the zoom point via reflection, deleting the top half, so always zoom in above the centroid if you want the image to get more complex. This is also why there are no miniships below the needle.
 afro
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youhn
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Posts: 696


Shapes only exists in our heads.


« Reply #4 on: September 15, 2014, 06:32:37 PM »

Thanks for the tips. There is a more general topic on the Burning Ship somewhere around here ... let me find it now ...

Here it is:

http://www.fractalforums.com/general-discussion-b77/burning-ship-fractal/15/

 I think it has the first post with the 3D Burning Ship. I tried to start a post with the differences and similarities between the burning ship and mandelbrot set. Maybe we can add some points to that list. Of course there are more things the same than different, since the formula only has the abs() thing on top of the mandelbrot formula. I would love to see a video with the points flying around in 3D space that our administrator cKleinhuis made for the mandelbrot set:

<a href="https://www.youtube.com/v/bR_oq4tszuU&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/bR_oq4tszuU&rel=1&fs=1&hd=1</a>

The original palette of Glowing Cube Divided had so many stripes close together, that the cycling produced some (unwanted) stroboscope effect. That's why the video is different:

http://www.fractalforums.com/movies-showcase-%28rate-my-movie%29/burning-ship-zoom-hexacubes-and-ringlines/

Well, enough references and links for now.
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cKleinhuis
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« Reply #5 on: September 15, 2014, 07:01:52 PM »

haha, nice you mention it, so someone really got something out of it wink

 the "abs" function would be visualised as a folding around the x/y axis exactly wink
perhaps i include it in a following session, in fact i was thinking about publishing the visualisation software itself, but it is not event command line driven by now, just enter numbers and recompile wink

the thing is i am planning to continue with hybrids visualised but i may include other raw fractals beforehand, did i mention that the folding operation reminds of paper-plane folding? when visualised?
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divide and conquer - iterate and rule - chaos is No random!
youhn
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Shapes only exists in our heads.


« Reply #6 on: September 15, 2014, 07:48:51 PM »

I'm an engineer, so I only know some basic math (compared to some on the forum here). The abs() operation is pretty basic, so I know what it does. But while the same goes for operation on complex numbers, seeing it happen on a whole array of points jumping up and down from the complex plane was a kind of suprise anyway.
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cKleinhuis
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« Reply #7 on: September 15, 2014, 09:03:40 PM »

cool, will do a burning ship animation until tomorrow (i hope)

and it does not only help understanding the transforms somehow it is veery relaxing just viewing it and it performs fantastic motion smiley

i am preparing a visualisation right now, just checking out my project and setting up the scene
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divide and conquer - iterate and rule - chaos is No random!
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