Image:Burning Ship Fractal Zoom 2.png

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Description

A view of the Burning Ship fractal. This is a fractal generated by iterating the following equation for each point with coordinates c in the complex plane:

Z_{n+1}=\left( |\Re \left( {Z_n} \right)|- i|\Im\left( {Z_n} \right)| \right)^2 + c, \quad Z_0=0

This image is in the complex plane with lower left corner (-1.67, -0.002i) and upper right corner (-1.65, 0.013i). Some descriptions of this fractal give the equation with an addition rather than a subtraction. This produces a reflection in the real-axis, which means that it is hard to see the "burning ship".

If the iteration "escapes" to large numbers, it is coloured according to how long it took to reach a cutoff point (here, 40). If it does not escape after 100 iteration, the point is coloured black.

This image was made in Ultrafractal 4.

Source

self-made

Date

02/11/07

Author

Inductiveload

Permission
(Reusing this image)
Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.


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File history

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Date/TimeDimensionsUserComment
current02:09, 2 November 20072,000×1,500 (289 KB)Inductiveload (wrong file)
02:08, 2 November 20072,000×1,500 (1.04 MB)Inductiveload ({{Information |Description=A view of the w:Burning Ship fractal. This is a fractal generated by iterating the following equation for each point with coordinates ''c'' in the complex plane: ::<math>Z_{n+1}=\left( |\Re \left( {Z_n} \right)|- i|\Im\left)
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