File:6Loops-Brunnian-link.svg
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Summary[edit]
Description6Loops-Brunnian-link.svg | 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 | For further variations, see [1] |
Licensing[edit]
Public domainPublic domainfalsefalse |
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. |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 11:06, 2 February 2015 | 680 × 280 (2 KB) | AnonMoos (talk | contribs) | adjust margins | |
13:18, 3 December 2009 | 688 × 288 (3 KB) | AnonMoos (talk | contribs) | 6-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 |
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Short title | Brunnian link (six loops). |
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Width | 680 |
Height | 280 |