Jump to content

File:Borromean-chainmail-tile.png

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Borromean-chainmail-tile.png (800 × 600 pixels, file size: 49 KB, MIME type: image/png)

Summary

Description

"Borromean chain-mail" -- an indefinitely extended pattern in which each small circle is part of four Borromean rings configurations, and each large circle is part of eight Borromean rings configurations (so that every area contained within circles of three different colors is at the center of a Borromean rings configuration, and no two circles are directly linked).

To free a yellow or blue loop, two red loops or two green loops must be cut. To free a red or green loop, four other loops must be cut.

For a five-circle configuration which is a subpart of this pattern, see Image:Borromean-cross.png / Image:Borromean-cross.svg .
Date
Source

Own work -- Generated by means of the following PostScript code:

%!
.6 dup scale 306 396 translate/A{87.5 C}def/B{60 C}def 8 setlinewidth
600 400 moveto -800 0 rlineto 0 -600 rlineto 800 0 rlineto closepath clip newpath
/C{0 360 arc closepath gsave 0 setgray 11 setlinewidth stroke grestore stroke}def
0 0 1 setrgbcolor 0 0 B 0 -200 B 0 200 B 0 400 B -200 0 B -200 -200 B -200 200 B
-200 400 B 200 0 B 200 200 B 200 400 B 200 -200 B 400 0 B 400 200 B 400 400 B 400
-200 B 600 0 B 600 200 B 600 400 B 600 -200 B
1 1 0 setrgbcolor -100 -100 B -100 100 B -100 300 B 100 -100 B 100 100 B 100 300
B 300 -100 B 300 100 B 300 300 B 500 -100 B 500 100 B 500 300 B
1 0 0 setrgbcolor -100 0 A -100 200 A -100 -200 A -100 400 A 100 400 A 100 200 A
100 -200 A 100 0 A 300 400 A 300 200 A 300 0 A 300 -200 A 500 200 A 500 0 A 500
400 A 500 -200 A
0 .6 0 setrgbcolor -200 100 A -200 -100 A -200 300 A 0 -100 A 0 100 A 0 300 A 200
-100 A 200 100 A 200 300 A 400 -100 A 400 100 A 400 300 A 600 -100 A 600 100 A
600 300 A
0 setgray 10.5 setlinewidth 0 0 1 setrgbcolor/bluecirc{/y exch def/x exch def
x y 60 23.5 44 arc 0 setgray 11 setlinewidth stroke
x y 60 22.5 45 arc 0 0 1 setrgbcolor 8 setlinewidth stroke
x y 60 -44 -23.5 arc 0 setgray 11 setlinewidth stroke
x y 60 -45 -22.5 arc 0 0 1 setrgbcolor 8 setlinewidth stroke
x y 60 136 156.5 arc 0 setgray 11 setlinewidth stroke
x y 60 135 157.5 arc 0 0 1 setrgbcolor 8 setlinewidth stroke
x y 60 -156.5 -136 arc 0 setgray 11 setlinewidth stroke
x y 60 -157.5 -135 arc 0 0 1 setrgbcolor 8 setlinewidth stroke}def
0 0 bluecirc 0 -200 bluecirc 0 200 bluecirc 0 400 bluecirc -200 0 bluecirc -200
-200 bluecirc -200 200 bluecirc -200 400 bluecirc 200 0 bluecirc 200 200 bluecirc
200 400 bluecirc 200 -200 bluecirc 400 0 bluecirc 400 200 bluecirc 400 400
bluecirc 400 -200 bluecirc 600 0 bluecirc 600 200 bluecirc 600 400 bluecirc 600
-200 bluecirc
1 1 0 setrgbcolor/ylocirc{/y exch def/x exch def
x y 60 46 66.5 arc 0 setgray 11 setlinewidth stroke
x y 60 45 67.5 arc 1 1 0 setrgbcolor 8 setlinewidth stroke
x y 60 -66.5 -46 arc 0 setgray 11 setlinewidth stroke
x y 60 -67.5 -45 arc 1 1 0 setrgbcolor 8 setlinewidth stroke
x y 60 113.5 134 arc 0 setgray 11 setlinewidth stroke
x y 60 112.5 135 arc 1 1 0 setrgbcolor 8 setlinewidth stroke
x y 60 -134 -113.5 arc 0 setgray 11 setlinewidth stroke
x y 60 -135 -112.5 arc 1 1 0 setrgbcolor 8 setlinewidth stroke}def
-100 -100 ylocirc -100 100 ylocirc -100 300 ylocirc 100 -100 ylocirc 100 100
ylocirc 100 300 ylocirc 300 -100 ylocirc 300 100 ylocirc 300 300 ylocirc 500 -100
ylocirc 500 100 ylocirc 500 300 ylocirc
showpage
%EOF
Author AnonMoos
Other versions

Licensing

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.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

image/png

de0d410befc28d5099b0c3b261c45cebf1625500

50,133 byte

600 pixel

800 pixel

File history

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

Date/TimeThumbnailDimensionsUserComment
current23:16, 3 May 2006Thumbnail for version as of 23:16, 3 May 2006800 × 600 (49 KB)AnonMoos"Borromean chain-mail" -- an indefinitely extended pattern in which each small circle is part of four Borromean rings configurations, and each large circle is part of eight Borromean rings configurations (every area contained
No pages on the English Wikipedia use this file (pages on other projects are not listed).