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Author Topic: I found a mini-set under the Burning Ship!  (Read 989 times)
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greentexas
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« on: November 09, 2016, 01:52:13 PM »

I am excited to share a new discovery I made!

There are mini-Burning Ships in the negative imaginary axis! I believe stardustforever made a video saying that there are no mini-Burning Ships, but this location proves there are. I think you need to zoom in around at least e100 to get a mini-Burning Ship.

If you don't believe me, enter this data into a fractal program of your choice (preferably Kalles Fraktaler, because that's what I'm most used to):

Real: -1.860556322992095580908947415641734979958253924273815169453300818728477474498936382537509907057079095290736905387398128630657247110271107490619325368156424935376800742886039308458849304766591261318592349902078200617817615498451016474612712628435688804553664392614335848120006674786243999776332640471441393348722555584375

Imaginary: 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000006948787844694328 11872357370179833729879210620442335237610667813870302871775162000393161130854920459876175793375336864155785845752566813 524561734178298046510882979663791199854228869234281679664419279597554906995000718724

Iterations: 265550

Magnification: 1.16798479811E195

The oddest thing about this discovery: Is there a Burning Ship in the Perpendicular Burning Ship?

Since the Heart Mandelbrot is basically a mirrored Burning Ship, this means it may be possible to zoom into the Heart, dodging Julias, and then going over or under the line and into part of a Julia, you should find the Burning Ship.

Since the Perpendicular Mandelbrot is the Mandelbar of the Heart, and there are mini-Hearts there, you should also find Burning Ships in the Perpendicular Mandelbrot.

The Perpendicular Burning Ship has mini-Hearts also. In theory, if the orientation of the Hearts is just right, you should find the Burning Ship there.

Even though I haven't experimented with this yet, putting a Celtic twist on everything means you should find a mini-Buffalo in the Perpendicular Buffalo and Perpendicular Celtic.

Further zooming by greentexas and the remainder of the Fractal Forums community may shed more light on this.
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TheRedshiftRider
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« Reply #1 on: November 09, 2016, 03:17:19 PM »

Yes they are present there:
Code:
https://youtu.be/TI-2DCp0OtM
I think this video is based on this as well.
I have never managed to find a nice one myself.*


The other variants also have certain differences in orientation. I do not know how exactly.


*= This might be interesting:
http://www.fractalforums.com/mandelbrot-and-julia-set/strange-area-in-burning-ship-and-other-asymmetric-sets/
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ellarien
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« Reply #2 on: November 09, 2016, 06:49:50 PM »

Great find! I'd almost convinced myself they didn't exist, after a lot of futile zooming, so well done! I'm running a zoom-out now, just to see how you got there. smiley
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M Benesi
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« Reply #3 on: November 11, 2016, 02:04:01 AM »

  Cool.  ....  mathy explanation??
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greentexas
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« Reply #4 on: November 12, 2016, 12:23:00 AM »

I think the reason for this is that structures tend to be given more time to "grow" with higher depths.

Also, there's a Part Two of this mini-Burning Ship thread. I made a "sequel", which involves the Perpendicular Mandelbrot.
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Kalles Fraktaler
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« Reply #5 on: November 12, 2016, 11:01:50 AM »

This is cool. Very hard to find!!

Regarding Perpendicular Burning Ship and Perpendicular Mandelbrot - they do contain infinite minis, but they don't occur everywhere as in other formulas.

Yes they are present there:
Code:
https://youtu.be/TI-2DCp0OtM
I think this video is based on this as well.
I have never managed to find a nice one myself.*


The other variants also have certain differences in orientation. I do not know how exactly.


*= This might be interesting:
http://www.fractalforums.com/mandelbrot-and-julia-set/strange-area-in-burning-ship-and-other-asymmetric-sets/
Sorry, the Burning Ship in SeryZone's video is upside-down compared to Kalles Fraktaler (even though I think he render the keyframes in KF), so the miniship is ordinary even though the iterations are extremely high.
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TheRedshiftRider
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« Reply #6 on: November 12, 2016, 10:15:42 PM »

Sorry, the Burning Ship in SeryZone's video is upside-down compared to Kalles Fraktaler (even though I think he render the keyframes in KF), so the miniship is ordinary even though the iterations are extremely high.
I must have mistaken it with another video. embarrass
I am still trying to find it.
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PieMan597
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« Reply #7 on: November 12, 2016, 11:12:47 PM »

Slightly off topic, but I once found a completely disconnected minister in the burning ship.

<a href="http://www.youtube.com/v/bNRGMY2PKjA&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/bNRGMY2PKjA&rel=1&fs=1&hd=1</a>
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Kalles Fraktaler
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« Reply #8 on: November 13, 2016, 04:30:48 PM »

Slightly off topic, but I once found a completely disconnected minister in the burning ship.

<a href="http://www.youtube.com/v/bNRGMY2PKjA&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/bNRGMY2PKjA&rel=1&fs=1&hd=1</a>
Your video is really cool. It is kind of an inverted pattern since the "inside" is the "outside". Must have taken a long time to render since most pixels are black inside the set
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Want to create DEEP Mandelbrot fractals 100 times faster than the commercial programs, for FREE? One hour or one minute? Three months or one day? Try Kalles Fraktaler http://www.chillheimer.de/kallesfraktaler
http://www.facebook.com/kallesfraktaler
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