File:Self-affine set.png

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file(957 × 477 pixels, file size: 18 KB, MIME type: image/png)

Summary

Description
English: A self-affine fractal set. Build iteratively from a array with . Its Hausdorff dimension equals with and is the number of elements in the column. Here it is 1.8272. The box-countig dimension yields a different formula, therefore, a different value. Unlike self-similar sets, the Hausdorff dimension of self-affine sets depends on the position of the iterated elements and there is no formula, so far, for the general case
Date
Source Own work
Author Prokofiev

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
You may select the license of your choice.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

6 June 2009

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current09:50, 6 June 2009Thumbnail for version as of 09:50, 6 June 2009957 × 477 (18 KB)Prokofiev{{Information |Description={{en|1=A self-affine fractal set. Build from a <math>\scriptstyle{p \times q}</math> array with <math>\scriptstyle{p \ge q}</math>. Its Hausdorff dimension equals <math>\log{\left (\sum_{k=1}^p n_k^a \right )} / \log{p}</math> w
The following pages on the English Wikipedia use this file (pages on other projects are not listed):

Global file usage

The following other wikis use this file: