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File:3 utilities problem moebius.svg




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This is a file from the Wikimedia Commons

From Wikipedia, the free encyclopedia
  

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 File:3 utilities problem moebius.svg
Size of this PNG preview of this SVG file: 512 × 384 pixels. Other resolutions: 320 × 240 pixels | 640 × 480 pixels | 1,024 × 768 pixels | 1,280 × 960 pixels | 2,560 × 1,920 pixels.

Original file ‎(SVG file, nominally 512 × 384 pixels, file size: 3 KB)





Summary

Description Connecting three utilities directly to three houses on a real projective plane can be done without crossing, as drawn by CMG Lee.
Source Own work
Author Cmglee
Other versions
3 utilities problem blank.svg
3 utilities problem proof.svg
3 utilities problem plane.svg
3 utilities problem moebius.svg
3 utilities problem torus.svg
4 utilities problem torus.svg
edit template

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 4.0 International 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.

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    author name string: Cmglee
    Wikimedia username: Cmglee
    URL: https://commons.wikimedia.org/wiki/User:Cmglee

    copyrighted

    Creative Commons Attribution-ShareAlike 4.0 International

    GNU Free Documentation License, version 1.2 or later

    original creation by uploader

    image/svg+xml

    235046152ac8a38e4db8dae0adfe1da37aa6b3df

    determination method: SHA-1

    3,333 byte

    384 pixel

    512 pixel

    File history



    Click on a date/time to view the file as it appeared at that time.
    Date/TimeThumbnailDimensionsUserComment
    current00:30, 24 October 2021Thumbnail for version as of 00:30, 24 October 2021512 × 384 (3 KB)CmgleeFix kink and overlap // Editing SVG source code using c:User:Rillke/SVGedit.js
    00:12, 24 October 2021Thumbnail for version as of 00:12, 24 October 2021512 × 384 (3 KB)CmgleeDarken background to more closely match File:3_utilities_problem_torus.svg // Editing SVG source code using c:User:Rillke/SVGedit.js
    23:56, 23 October 2021Thumbnail for version as of 23:56, 23 October 2021512 × 384 (3 KB)Cmglee{{Information |Description=Connecting three utilities directly to three houses on a real projective plane can be done without crossing, as drawn by CMG Lee. |Source={{own}} |Date= |Author= Cmglee |Permission= |other_versions= }} Category:Three utilities problem Category:Moebius surfaces



    The following pages on the English Wikipedia use this file (pages on other projects are not listed):
    ●Möbius strip
    ●Three utilities problem
    ●Wikipedia:Reference desk/Archives/Mathematics/2021 October 22

    Global file usage


    The following other wikis use this file:

    ●Usage on id.wikipedia.org

    ●Pengguna:Dedhert.Jr/Uji halaman 01/18

    ●Usage on www.wikidata.org

    ●Q32918


    Metadata

    This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.

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    Retrieved from "https://en.wikipedia.org/wiki/File:3_utilities_problem_moebius.svg"






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