File:3D-Leveltorus-Reebgraph.png

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Original file (915 × 700 pixels, file size: 131 KB, MIME type: image/png)

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Description Reeb graph for levels of z for two-torus
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This is a retouched picture, which means that it has been digitally altered from its original version. Modifications: Added Reeb graph. The original can be viewed here: 3D-Leveltorus.png: . Modifications made by Ilya Voyager.

I, the copyright holder of this work, hereby publish it under the following license:
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Original upload log

This image is a derivative work of the following images:

  • File:3D-Leveltorus.png licensed with PD-self
    • 2007-01-03T11:34:19Z Kieff 700x700 (178222 Bytes) brighter and blue
    • 2007-01-03T11:28:16Z Kieff 700x700 (159242 Bytes) Illustrations for Morse Theory

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image/png

checksum

86a25a715b94b9a4f374c7c05731208b9c07a928

determination method or standard: SHA-1

data size

134,516 byte

height

700 pixel

width

915 pixel

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Date/TimeThumbnailDimensionsUserComment
current18:05, 5 July 2015Thumbnail for version as of 18:05, 5 July 2015915 × 700 (131 KB)wikimediacommons>CmdrjamesonCompressed with pngout. Reduced by 61kB (32% decrease).

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Retrieved from "https://en.wiki.beta.math.wmflabs.org/wiki/File:3D-Leveltorus-Reebgraph.png"