Jump to content

File:6Loops-Brunnian-link.svg

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

Original file (SVG file, nominally 680 × 280 pixels, file size: 2 KB)

Summary

Description 6-loop Brunnian link — no two loops are directly linked, but all six are collectively linked, and cutting any loop frees all the other loops.
Date in this form
Source

The abstract pattern of crossings derives from an illustration in Hermann Brunn's 1892 article "Über Verkettung", by way of Dale Rolfsen's 1976 book Knots and Links (p. 67). The specific visual appearance of this image is quite different from those illustrations...

Converted from the following vector PostScript source code:

%!
/l{lineto}def 5 400 translate .875 dup scale 16 16 translate
16 16 scale .25 setlinewidth/s{gsave 0 setgray .5 setlinewidth
stroke grestore}def/S{closepath s}def
0 1 moveto 41 1 l 41 16 l 0 16 l S 0 0 1 setrgbcolor stroke
1 3 moveto 40 3 l 40 15 l 1 15 l S 0 .6 0 setrgbcolor stroke
2 5 moveto 39 5 l 39 14 l 2 14 l S 1 .6 0 setrgbcolor stroke
3 7 moveto 38 7 l 38 13 l 3 13 l S .8 0 0 setrgbcolor stroke
4 9 moveto 37 9 l 37 12 l 4 12 l S .9 0 .75 setrgbcolor stroke
5 0 moveto 6 0 l 6 4 l 7 4 l 7 0 l 8 0 l 8 6 l 9 6 l 9 0 l
10 0 l 10 4 l 11 4 l 11 0 l 12 0 l 12 8 l 13 8 l 13 0 l 14
0 l 14 4 l 15 4 l 15 0 l 16 0 l 16 6 l 17 6 l 17 0 l 18 0
l 18 4 l 19 4 l 19 0 l 20 0 l 20 10 l 21 10 l 21 0 l 22 0
l 22 4 l 23 4 l 23 0 l 24 0 l 24 6 l 25 6 l 25 0 l 26 0 l
26 4 l 27 4 l 27 0 l 28 0 l 28 8 l 29 8 l 29 0 l 30 0 l 30
4 l 31 4 l 31 0 l 32 0 l 32 6 l 33 6 l 33 0 l 34 0 l 34 4
l 35 4 l 35 0 l 36 0 l 36 11 l 5 11 l S .95 .95 0 setrgbcolor
stroke
5.5 1 moveto 7.5 1 l 9.5 1 moveto 11.5 1 l 13.5 1 moveto
15.5 1 l 17.5 1 moveto 19.5 1 l 21.5 1 moveto 23.5 1 l
25.5 1 moveto 27.5 1 l 29.5 1 moveto 31.5 1 l 33.5 1
moveto 35.5 1 l s 0 0 1 setrgbcolor stroke
6.5 3 moveto 10.5 3 l 14.5 3 moveto 18.5 3 l 22.5 3 moveto
26.5 3 l 30.5 3 moveto 34.5 3 l s 0 .6 0 setrgbcolor stroke
8.5 5 moveto 16.5 5 l 24.5 5 moveto 32.5 5 l s 1 .6 0
setrgbcolor stroke
12.5 7 moveto 28.5 7 l s .8 0 0 setrgbcolor stroke
20.5 9 moveto 36.5 9 l s .9 0 .75 setrgbcolor stroke showpage
%EOF
Author AnonMoos based on publicly-available information
Other versions
Version of the Borromean rings drawn in this style
For further variations, see [1]

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/svg+xml

5df3f9d46b19a929703de60de51946a7754c7479

2,298 byte

280 pixel

680 pixel

File history

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

Date/TimeThumbnailDimensionsUserComment
current11:06, 2 February 2015Thumbnail for version as of 11:06, 2 February 2015680 × 280 (2 KB)AnonMoosadjust margins
13:18, 3 December 2009Thumbnail for version as of 13:18, 3 December 2009688 × 288 (3 KB)AnonMoos6-loop Brunnian link — no two loops are directly linked, but all four are collectively linked, and cutting any loop frees all the other loops. Redrawn version of illustration in Hermann Brunn's 1892 article "Über Verkettung", by way of Dale Rolfsen's

The following page uses this file:

Global file usage

The following other wikis use this file:

Metadata