File:Brunnian-3-not-Borromean.png

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

Brunnian-3-not-Borromean.png ‎(651 × 600 pixels, file size: 13 KB, MIME type: image/png)

Captions

Captions

Add a one-line explanation of what this file represents

Summary[edit]

Description

A three-component link which is a Brunnian link (i.e. cutting any loop frees the other two loops), but which is not the same as the Borromean rings. For another three-component Brunnian link which is not the same as the Borromean rings, see Image:Three-triang-18crossings-Brunnian.png . For a visually more decorative and ornate version of this, see File:Brunnian-link-12crossings-nonBorromean-quasi-Arabesque.svg

A version of this was found in the ancient roman mosaics at Villa del Casale (Piazza Armerina) (see external link http://www.liv.ac.uk/%7Espmr02/rings/maths.html ).
Date originally uploaded 15:48, 29 April 2006
Source

Generated by means of the following PostScript code: 

%!
306 396 translate 15 setlinewidth
/A{30000 sqrt neg 0 100 90 270 arc 30000 sqrt 0 100
270 90 arc closepath gsave B stroke}def
/B{22.5 setlinewidth 0 setgray stroke grestore}def
0 0 1 setrgbcolor A -120 rotate
1 0 0 setrgbcolor A -120 rotate
1 1 0 setrgbcolor A -120 rotate
0 0 1 setrgbcolor
gsave 10 100 moveto 80 0 rlineto B
0 100 moveto 100 0 rlineto stroke
gsave -10 -100 moveto -80 0 rlineto B
0 -100 moveto -100 0 rlineto stroke
gsave 30000 sqrt 0 100 290 270 arcn -40 0 rlineto B
30000 sqrt 0 100 300 270 arcn -50 0 rlineto stroke
gsave 30000 sqrt neg 0 100 110 90 arcn 40 0 rlineto B
30000 sqrt neg 0 100 120 90 arcn 50 0 rlineto stroke
showpage
%EOF
Author AnonMoos
Other versions
File:Brunnian-3-not-Borromean.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.
File:Brunnian-3-not-Borromean.png → File:Brunnian-3-not-Borromean.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]

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.

File history

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

Date/TimeThumbnailDimensionsUserComment
current13:03, 19 September 2007Thumbnail for version as of 13:03, 19 September 2007651 × 600 (13 KB)AnonMoos (talk | contribs)==Summary== A three-component link which is a Brunnian link (i.e. cutting any loop frees the other two loops), but which is not the same as the Borromean rings. For another three-component Brunnian l

You cannot overwrite this file.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Brunnian-3-not-Borromean.png&oldid=869910404"