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[edit]

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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Date/TimeThumbnailDimensionsUserComment
current17:05, 5 July 2015Thumbnail for version as of 17:05, 5 July 2015915 × 700 (131 KB)Cmdrjameson (talk | contribs)Compressed with pngout. Reduced by 61kB (32% decrease).
18:12, 14 June 2010Thumbnail for version as of 18:12, 14 June 2010915 × 700 (193 KB)Ilya Voyager (talk | contribs)Added some arrows
21:16, 13 June 2010Thumbnail for version as of 21:16, 13 June 2010915 × 700 (191 KB)Ilya Voyager (talk | contribs)Fix
21:16, 13 June 2010Thumbnail for version as of 21:16, 13 June 2010700 × 700 (174 KB)Ilya Voyager (talk | contribs)A bit brighter outline
21:08, 13 June 2010Thumbnail for version as of 21:08, 13 June 2010915 × 700 (192 KB)Ilya Voyager (talk | contribs){{Information |Description=Reeb graph for levels of z for two-torus |Source=*File:3D-Leveltorus.png |Date=2010-06-13 21:04 (UTC) |Author=*File:3D-Leveltorus.png: Kieff *derivative work: ~~~ |Permission=see below |other_versions=

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