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BASIC Developer & Support Resources => Open Forum => Topic started by: John on November 21, 2013, 10:05:49 PM

Title: Deepest Mandelbrot Set Zoom Animation ever - a New Record!
Post by: John on November 21, 2013, 10:05:49 PM

Quote

Supposedly it's the deepest zoom-in animation on record. It's computed on a machine with 12 CPUs for 6 months, in 2010.

Title: Re: Deepest Mandelbrot Set Zoom Animation ever - a New Record!
Post by: Charles Pegge on November 22, 2013, 01:06:41 AM

A sense of Scale:

http://www.falstad.com/scale/

From the smallest known particle to the distance of the farthest known object: 10^-15 .. 4x10^26.

A span of 4x10^41

So at 10^275, the zoom spans this cosmic scale about 7 times over!

Title: Re: Deepest Mandelbrot Set Zoom Animation ever - a New Record!
Post by: John on November 22, 2013, 11:50:54 AM

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The limit isn't the math, it's a limit on how many decimal places our computers can process. In the first level, it is showing integers from 0-99, with one integer represented by 1 pixel. Then it zooms in and shows integers 0-9, with each of those pixels representing 1/10 of an integer. The next level of zoom shows integers from 0-1, with each pixel representing 1/100 of an integer. This animation ends with each pixel representing 1/10^275 or a decimal with 275 zeros before reaching a 1.

Title: Hunting the hidden dimension
Post by: John on January 16, 2014, 12:44:17 PM

I noticed this (http://mandelbrot-dazibao.com/) on the FreeBASIC forum (http://www.freebasic.net/forum/viewtopic.php?f=8&t=21585) which expands on this existing topic.