Mandelbrot Set - Deep Zoom Through the Universe of a Fractal (1080p HD)
This is a deep zoom into the Mandelbrot Set. The final magnification at the end is 2^106, or 81,129,638,414,606,681,695,789,005,144,064. To put this into perspective, let's say that the original frame is the size of the observable universe (radius = 13.787 billion light years, diameter = 27.574 billion light years). The image doubles in size every three seconds. Therefore, the size of the field of view at the following points are:
0:00 - Observable Universe (27.574 Billion Light Years)
0:24 - Virgo Supercluster (110 Million Light Years)
0:34 - Local Group (10 Million Light Years)
0:54 - Milky Way Galaxy (105,700 Light Years)
1:04 - Length of the Orion Arm (10,000 Light Years)
1:38 - Sun to Proxima Centauri (4.243 Light Years, 40.142 Trillion km)
1:44 - 1 Light Year (9,460,730,472,580.8 km)
2:11 - Sun to Heliopause (18 Billion km)
2:36 - Earth to Mars at Closest Point (57.6 Million km)
2:58 - Earth to the Moon (384,500 km)
3:12 - Diameter of the Earth (12,756 km)
3:44 - Height of Mt. Everest (8,848 m)
4:04 - Height of the World's Tallest Tree (90 m)
4:21 - Average Height of a Human Being (1.65 m)
4:39 - Diameter of a Quarter (24.26 mm)
5:03 - Size of a Grain of Sand (0.10 mm)
5:18 - Size of a Single Bacterium (0.003 mm)
Therefore, if the first frame were the size of the observable universe, the last frame would be the size of a single bacterium, and the final baby Mandelbrot Set shown would be approximately 0.02 mm in diameter, which is microscopic to the naked eye! Even more remarkable, this barely even scratches the surface of the infinite depths of the Mandelbrot Set!
The exact location on the complex plane is:
-1.295,324,977,789,490,119,260,980,246,122,643,3
+0.441,335,324,086,816,525,023,129,942,895,931,9 i