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Author Topic: Mission Mandelbrot  (Read 1402 times)
Description: A java-program to explore the 3D-Mandelbrot set
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Applemanikin
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Apfelmaennchen


« on: November 30, 2012, 08:57:54 AM »

Hi community,

allow me to present my program: It is an expedition into the world of a 3-dimensional computed Mandelbrot set. It is a simple "flight simulator" which allows you to control a probe through the impressive scene.

To make it a little more funny I placed a small statue. This statue must be found  wink. I do not think it is possible, though the statue is actually not very hidden. The Mandelbrot set is simply too complex.

For more information and the download click here:
http://www.carpe-retem.com/MissionMandelbrot/

The site is unfortunately only in German, but I have placed a link at the top to translate fast.
I look forward to your opinions and criticisms of my program.

Thank you for your interest.
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In German the Mandelbrot set is often called "Apfelmaennchen" - in my translation Applemanikin
cKleinhuis
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« Reply #1 on: November 30, 2012, 01:44:11 PM »

lols, great program, i would love to have more mandelbrot games

ever thought about making a boat trip ? i was thinking .... you start over with a little boat in a minibrot, and
your aim for your expedition is to swim to the main mandelbrot, since all minibrots are connected you could make
a path, and if you reach the circumfence of the main cardioid you did it wink
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divide and conquer - iterate and rule - chaos is No random!
Applemanikin
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Apfelmaennchen


« Reply #2 on: November 30, 2012, 03:58:55 PM »

Hi cKleinhuis,

great idea! But are you sure it works? Is there a proven theorem that all minibrots are connected to the mainbrot? And if, so it may be that it still does not work in a program. Once I flew straight the x-axis (y = 0)  to the angle 180 at a height of 5 units to the minibrot at the left. My probe has a size of 0.000005 (in reality). But I crashed to the surface!

An interesting question: how wide are the connections. This certainly depends on the number of iterations which you calculate.

Greets Hans
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In German the Mandelbrot set is often called "Apfelmaennchen" - in my translation Applemanikin
cKleinhuis
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« Reply #3 on: November 30, 2012, 04:16:25 PM »

yes, it is proven that all minibrots are connected, through infinitely thin lines, but this you can control with your iteration count,
http://www.fractalforums.com/general-discussion-b77/is-the-mandelbrot-set-connected/
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divide and conquer - iterate and rule - chaos is No random!
Applemanikin
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Posts: 7


Apfelmaennchen


« Reply #4 on: November 30, 2012, 05:11:30 PM »

yes, it is proven that all minibrots are connected, through infinitely thin lines, but this you can control with your iteration count,
That's what I thought too, theoretically the connection is there, but it is sometimes just infinitesimal. And yes, the boat must have an extension in a program.

Regards Hans
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In German the Mandelbrot set is often called "Apfelmaennchen" - in my translation Applemanikin
Applemanikin
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Posts: 7


Apfelmaennchen


« Reply #5 on: December 02, 2012, 07:01:17 PM »

Hi cKleinhuis ,

I simulated your "boat-idea" with my probe. I modified the program a little bit and made a "journey" to the "west" of the Mandelbrot set. The resolution of my program, and especially the number range of double in java (min. 4,94065645841246544e-324) is the reason, that the width of the "ravine" becomes (approximately) zero in practice.

You may see the result in this video: <a href="http://www.youtube.com/v/um0UKyeW994&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/um0UKyeW994&rel=1&fs=1&hd=1</a>

Greetings Hans
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In German the Mandelbrot set is often called "Apfelmaennchen" - in my translation Applemanikin
cKleinhuis
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formerly known as 'Trifox'


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« Reply #6 on: December 02, 2012, 07:25:14 PM »

you simply control the width of the channel by the iteration count, lower your iterations !!!
and lols, use a more interesting location, and make it the other way round wink travel from a minibrot to the main cardioid cheesy
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divide and conquer - iterate and rule - chaos is No random!
cKleinhuis
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« Reply #7 on: December 02, 2012, 07:30:58 PM »

 
you could as well make the iteration depth depending on the distance to the center, using slightly higher iterations at a mini brot

i attached an image with a lower iteration count where you can see that you have a full open path wink


* Fractal1.jpg (51.01 KB, 640x480 - viewed 265 times.)
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divide and conquer - iterate and rule - chaos is No random!
Applemanikin
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Posts: 7


Apfelmaennchen


« Reply #8 on: December 03, 2012, 04:54:15 PM »

What a fantastic world where the water has stages  crazy eyes
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In German the Mandelbrot set is often called "Apfelmaennchen" - in my translation Applemanikin
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