File:Takagi curve.png

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Takagi_curve.png(700 × 474 pixels, file size: 3 KB, MIME type: image/png)

Summary

Takagi curve (or blancmange curve). A special case of a Landsberg curve f(x) = \sum_{n=0}^\infty {w^n s(2^{n}x)}, defined on the unit interval, where w=1/2 and s(x) is the sawtooth function. Its Hausdorff Dimension equals 1.

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
current00:22, 9 July 2017Thumbnail for version as of 00:22, 9 July 2017700 × 474 (3 KB)Thales (talk | contribs)Takagi curve (or blancmange curve). A special case of a Landsberg curve <math>f(x) = \sum_{n=0}^\infty {w^n s(2^{n}x)}</math>, defined on the unit interval, where <math>w=1/2</math> and <math>s(x)</math> is the sawtooth function. Its Hausdorff Dimensio...
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