File:Mandeltree.svg

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Original file(SVG file, nominally 1,000 × 1,000 pixels, file size: 118 KB)

Summary

Fractal curve created by Benoit Mandelbrot and published in "Penser les mathématiques", éditions du Seuil (1982) as an example of a space-filling curve. Its Hausdorff dimension is 2 and it fills the von Koch snowflake. It is built from 7 similarities of ratio 1/3 and 6 similarities of ratio \scriptstyle{1/3\sqrt{3}}. This image displays the curve after 3 iterations.

Copyright status:

GNU Free Documentation License, Version 1.2

Source:

https://commons.wikimedia.org/wiki/User:Prokofiev

File history

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Date/TimeThumbnailDimensionsUserComment
current04:45, 10 July 2017Thumbnail for version as of 04:45, 10 July 20171,000 × 1,000 (118 KB)Thales (talk | contribs)Fractal curve created by Benoit Mandelbrot and published in "Penser les mathématiques", éditions du Seuil (1982) as an example of a space-filling curve. Its Hausdorff dimension is 2 and it fills the von Koch snowflake. It is built from 7 similarities...
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