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THE EXOPLOREREndless Center Pattern
Endless Center Pattern
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Description: HPDZ Buffalo is fascinating since it has a clear center pattern, which can be zoomed into endlessly without finding any minibrot.
It seems the pattern is unique at all depths, since even though the density seems to grow with depth, the rate of increase seems to be slowing.

<a href="http://www.youtube.com/v/NbGrRy8FrPQ&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/NbGrRy8FrPQ&rel=1&fs=1&hd=1</a>

The movie was rendered with Kalles Fraktaler 2.10, which includes "unlimited" zooming capabilities in 63 different formulas.
Get it for free from http://www.chillheimer.de/kallesfraktaler

Total Favorities: 0 View Who Favorited
Filesize: 187.88kB
Height: 360 Width: 640
Discussion Topic: View Topic
Keywords: HPDZ 
Posted by: Kalles Fraktaler May 08, 2016, 01:24:31 PM

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By: Imagyx

Comments (5) rss
Posts: 66

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June 26, 2016, 09:21:36 AM
Sam than thargor6, i'am not into this mainly in 2d fractal but i must admit it's impressive.
Fractal Molossus
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June 05, 2016, 01:48:46 AM
I usually do not like zoom-movies, but this one is great, 5 stars!
Fractalist Chemist
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Fractal Iambus
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May 09, 2016, 11:33:00 AM
These are very interesting. How exactly can I find them?
Fractal Bachius
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May 09, 2016, 11:11:43 AM
I mentioned this in another thread, but the HPDZ buffalo is a quadratic fractal, having both second and first order components. A hypothetical "1st order" fractal would have periodicity at wholes rather than halves (2nd order) or thirds (3rd order) of the zoom depth. One whole squared, cubed, etc is still one whole, so the an infinite series of terms will never converge on a minibrot. The HPDZ buffalo seems to share this property. Patterns appear to repeat themselves with subtle variation. I did a test zoom up to e500 or so from a relatively shallow fork depth of e12 and the patterns do not appear to get more dense or complex. Very odd behavior this one has.
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Fractal Iambus
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May 09, 2016, 10:58:22 AM
Very interesting idea. I guess this could be a very interesting way to create screensavers.

Aren't these found in the normal burning ship as well? I think I have seen some in there as well.

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