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JULIA MAPS

The following images are formed by Julia sets sorted for showing a map equivalent to the graphic obtained with the Mandelbrot method.

ESCAPE TIME

Burning Ship 35-E - 1585 impresiones

Name: Burning Ship 35-E.
Type: Mapa de julias - Burning Ship.
Size: 5285 x 5285
Zip download (11.43 Mb)

Mandelbrot 35-E - 1662 impresiones

Name: Mandelbrot 35-E.
Type: Mapa de julias - Mandelbrot.
Size: 5285 x 5285
Zip download (9.04 Mb)

Seahorse 35-E - 1718 impresiones

Name: Seahorse 35-E.
Type: Mapa de julias - Mandelbrot.
Size: 5285 x 5285
Zip download (12.59 Mb)

ORBIT TRAP

Burning ship 35-O - 1600 impresiones

Name: Burning ship 35-O.
Type: Mapa de julias - Burning ship.
Size: 5285 x 5285
Zip download (24.7 Mb)

Mandelbrot 35-O - 1679 impresiones

Name: Mandelbrot 35-O.
Type: Mapa de julias - Mandelbrot.
Size: 5285 x 5285
Zip download (23.86 Mb)

Seahorse 35-O - 1583 impresiones

Name: Seahorse 35-O.
Type: Mapa de julias - Mandelbrot.
Size: 5285 x 5285
Zip download (31.07 Mb)



The Mandelbrot set represents a map of all Julia sets. In this set every pixel is coloured in at different way, depending on the corresponding Julia set to that point, if it is closed or opened:

A closed Julia set is built in one piece that can be toured without exit. Closed Julia set
On the other hand, an opened Julia set is built in several unconnected pieces. Opened Julia set
We obtain the Mandelbrot set by using the black colour to represent closed Julia sets and the white colour to represent opened Julia sets. Black and white Mandelbrot

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What to see next?
If you want to learn more about the Mandelbrot method, you can visit the laboratory.
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Quotes
« La madre naturaleza no asistió a clases de geometría en el instituto ni leyó los libros de Euclides de Alejandría. Su geometría es irregular, pero tiene una lógica propia y fácil de comprender »
Investigador financiero y matemático Nassim Nicholas Taleb
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