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

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

Summary

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  العربية  беларуская (тарашкевіца)  български  বাংলা  català  нохчийн  čeština  dansk  Deutsch  Ελληνικά  English  British English  Esperanto  español  eesti  euskara  فارسی  suomi  français  Frysk  galego  Alemannisch  עברית  hrvatski  magyar  հայերեն  Bahasa Indonesia  Ido  italiano  日本語  ქართული  한국어  lietuvių  македонски  മലയാളം  Bahasa Melayu  norsk bokmål  Plattdüütsch  Nederlands  norsk nynorsk  norsk  occitan  polski  prūsiskan  português  português do Brasil  română  русский  sicilianu  Scots  slovenčina  slovenščina  српски / srpski  svenska  தமிழ்  ไทย  Türkçe  татарча / tatarça  українська  vèneto  Tiếng Việt  中文  中文(中国大陆)  中文(简体)  中文(繁體)  中文(马来西亚)  中文(新加坡)  中文(臺灣)  中文(臺灣)  /−
New SVG image

Licensing

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

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)

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

24 December 2004

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(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~commonswikiImage of The Banach-Tarski Theorem ("paradox")

The following page uses this file:

Global file usage

The following other wikis use this file:

Metadata