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File:Brunnian-3-not-Borromean.svg

From Wikipedia, the free encyclopedia

Summary

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
Source Own work - Converted from the following PostScript vector source code:
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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
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gsave 10 100 moveto 80 0 rlineto B
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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 (first vectorization by Amada44)

Licensing

Public domain This work has been released into the public domain by its author, AnonMoos. This applies worldwide.
In some countries this may not be legally possible; if so:
AnonMoos grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Basis of this page is in Wikipedia. Text is available under the CC BY-SA 3.0 Unported License. Non-text media are available under their specified licenses. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc. WIKI 2 is an independent company and has no affiliation with Wikimedia Foundation.