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File:Brunnian-3-not-Borromean.svg

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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 ).
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Own work - Converted from the following PostScript vector source 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 (first vectorization by Amada44)

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Public domain This work has been released into the public domain by its author, AnonMoos. This applies worldwide.

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AnonMoos grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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Date/TimeThumbnailDimensionsUserComment
current22:56, 29 April 2013Thumbnail for version as of 22:56, 29 April 2013654 × 600 (1 KB)AnonMoos (talk | contribs)redoing conversion from PostScript source from scratch for smaller filesize, increased default display size, slight exactness improvement, and adding slight margins
10:39, 21 December 2006Thumbnail for version as of 10:39, 21 December 2006569 × 523 (4 KB)Amada44 (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
13:37, 20 December 2006Thumbnail for version as of 13:37, 20 December 2006569 × 523 (40 KB)Amada44 (talk | contribs){{Convert to SVG}} == 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-

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