File:Doubling of a sphere, as per the Banach-Tarski Theorem.png

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Doubling_of_a_sphere,_as_per_the_Banach-Tarski_Theorem.png ‎(655 × 186 pixels, file size: 18 KB, MIME type: image/png)

Captions

Captions

Add a one-line explanation of what this file represents

Summary[edit]

Description
English: Description: The Banach-Tarski Theorem ("paradox"): a solid sphere can be decomposed into pieces and reassembled into two spheres of the same size.
Date 24 December 2004 (original upload date)
Source Author: Sean Kelly. If you want me to make changes, just tell me; I still have the original psd.
Author Sean Kelly at English Wikipedia
Other versions
File:Banach-Tarski Paradox.svg is a vector version of this file. It should be used in place of this PNG file.
File:Doubling of a sphere, as per the Banach-Tarski Theorem.png → File:Banach-Tarski Paradox.svg
For more information, see Help:SVG.
In other languages
Alemannisch ∙ Bahasa Indonesia ∙ Bahasa Melayu ∙ British English ∙ català ∙ čeština ∙ dansk ∙ Deutsch ∙ eesti ∙ English ∙ español ∙ Esperanto ∙ euskara ∙ français ∙ Frysk ∙ galego ∙ hrvatski ∙ Ido ∙ italiano ∙ lietuvių ∙ magyar ∙ Nederlands ∙ norsk bokmål ∙ norsk nynorsk ∙ occitan ∙ Plattdüütsch ∙ polski ∙ português ∙ português do Brasil ∙ română ∙ Scots ∙ sicilianu ∙ slovenčina ∙ slovenščina ∙ suomi ∙ svenska ∙ Tiếng Việt ∙ Türkçe ∙ vèneto ∙ Ελληνικά ∙ беларуская (тарашкевіца) ∙ български ∙ македонски ∙ нохчийн ∙ русский ∙ српски / srpski ∙ татарча/tatarça ∙ українська ∙ ქართული ∙ հայերեն ∙ বাংলা ∙ தமிழ் ∙ മലയാളം ∙ ไทย ∙ 한국어 ∙ 日本語 ∙ 简体中文 ∙ 繁體中文 ∙ עברית ∙ العربية ∙ فارسی ∙ +/−
New SVG image

Licensing[edit]

Sean Kelly at the English-language Wikipedia, the copyright holder of this work, hereby publishes it under the following license:
w:en:Creative Commons
attribution share alike 		This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. Subject to disclaimers.
Attribution: Sean Kelly at the English-language Wikipedia
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.
This licensing tag was added to this file as part of the GFDL licensing update.
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. Subject to disclaimers.

Original upload log[edit]

The original description page was here. All following user names refer to en.wikipedia.
  • 2007-02-17 06:29 Uscg20110 655×186× (18702 bytes) Reverted to earlier revision
  • 2004-12-24 06:57 Sean Kelly 653×205× (44220 bytes)
  • 2004-12-24 06:47 Sean Kelly 655×186× (18702 bytes)

File history

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

Date/TimeThumbnailDimensionsUserComment
current02:27, 18 June 2012Thumbnail for version as of 02:27, 18 June 2012655 × 186 (18 KB)OgreBot (talk | contribs)(BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2004-12-24 06:47:26 by Sean Kelly
23:41, 18 February 2005Thumbnail for version as of 23:41, 18 February 2005653 × 205 (43 KB)Zaraki~commonswiki (talk | contribs)Image of The Banach-Tarski Theorem ("paradox")

You cannot overwrite this file.

The following page uses this file:

File usage on other wikis

The following other wikis use this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Doubling_of_a_sphere,_as_per_the_Banach-Tarski_Theorem.png&oldid=486491596"