File:Brunnian-4loops.svg
Original file (SVG file, nominally 588 × 600 pixels, file size: 2 KB)
Captions
Summary
[edit]DescriptionBrunnian-4loops.svg | 4-loop Brunnian link — no two loops are directly linked, but all four are collectively linked, and cutting any loop frees all the other loops. |
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Source |
Redrawn version of illustration in Hermann Brunn's 1892 article "Über Verkettung", by way of Dale Rolfsen's 1976 book Knots and Links (p. 67). SVG version of Image:Brunnian.png . Converted from the following PostScript code: %! .1 dup scale 105 setlinewidth/c{rcurveto}def/m{moveto}def/l{rlineto}def/x {gsave 135 setlinewidth 0 setgray stroke grestore stroke}def 0 .6 0 setrgbcolor 4000 3960 m 0 276.14 -447.72 500 -1000 500 c -552.28 0 -1000 -223.86 -1000 -500 c 0 -276.14 447.72 -500 1000 -500 c 552.28 0 1000 223.86 1000 500 c closepath x 0 0 1 setrgbcolor 2787.38 5338.86 m 121.9 121.9 287.23 190.38 459.62 190.38 c 130 0 l 172.39 0 337.72 -68.48 459.62 -190.38 c 919.24 -919.24 l 121.9 -121.9 190.38 -287.23 190.38 -459.62 c 0 -172.39 -68.48 -337.72 -190.38 -459.62 c -919.24 -919.24 l -121.9 -121.9 -287.23 -190.38 -459.62 -190.38 c -130 0 l -172.39 0 -337.72 68.48 -459.62 190.38 c -1206.5 1206.5 l -45.71 45.71 -71.39 107.71 -71.39 172.36 c 0 64.65 25.68 126.65 71.39 172.36 c closepath x 1 0 0 setrgbcolor 2163.38 5338.86 m 121.9 121.9 287.23 190.38 459.62 190.38 c 130 0 l 172.39 0 337.72 -68.48 459.62 -190.38 c 1206.5 -1206.5 l 45.71 -45.71 71.39 -107.71 71.39 -172.36 c 0 -64.65 -25.68 -126.65 -71.39 -172.36 c -1206.5 -1206.5 l -121.9 -121.9 -287.23 -190.38 -459.62 -190.38 c -130 0 l -172.39 0 -337.72 68.48 -459.62 190.38 c -919.24 919.24 l -121.9 121.9 -190.38 287.23 -190.38 459.62 c 0 172.39 68.48 337.72 190.38 459.62 c closepath x 1 1 0 setrgbcolor 3690 5260 m 0 381.08 -308.92 690 -690 690 c -381.08 0 -690 -308.92 -690 -690 c 0 -2600 l 0 -381.08 308.92 -690 690 -690 c 381.08 0 690 308.92 690 690 c closepath x 135 setlinewidth 0 setgray 2000.15 3951.27 m 9.52 -272.7 454.37 -491.27 999.85 -491.27 c 545.48 0 990.33 218.57 999.85 491.27 c stroke 105 setlinewidth 0 .6 0 setrgbcolor 2000 3960 m 0 -276.14 447.72 -500 1000 -500 c 552.28 0 1000 223.86 1000 500 c stroke 135 setlinewidth 0 setgray 3388.34 5529.14 m 164.52 -2.87 321.82 -68.03 440.18 -182.33 c stroke 3828.53 2573.19 m -118.36 -114.3 -275.67 -179.46 -440.18 -182.33 c stroke 1881.14 4432.62 m 624 624 l stroke 1881.14 3487.38 m 624 -624 l stroke 105 setlinewidth 0 0 1 setrgbcolor 3377 5529.24 m 172.39 0 337.72 -68.48 459.62 -190.38 c stroke 3836.62 2581.14 m -121.9 -121.9 -287.23 -190.38 -459.62 -190.38 c stroke 1868.14 4419.62 m 650 650 l stroke 1868.14 3500.38 m 650 -650 l stroke showpage %EOF |
Author | AnonMoos |
SVG development InfoField | This vector image was created with a text editor by v. |
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. |
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 13:30, 11 April 2013 | 588 × 600 (2 KB) | AnonMoos (talk | contribs) | simplify, slightly adjust margins | |
19:53, 5 September 2006 | 588 × 600 (3 KB) | AnonMoos (talk | contribs) | fixing typo in file comment -- vector data remains unchanged | ||
03:06, 5 September 2006 | 588 × 600 (3 KB) | AnonMoos (talk | contribs) | 4-loop Brunnian link — no two loops are directly linked, but all four are collectively linked, and cutting any loop frees all the other loops. SVG version of Image:Brunnian.png . Converted from the following PostScript code: <pre>%! .1 dup scale |
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Short title | 4-component Brunnian link - no two loops are directly linked, but all are collectively linked, and cutting any loop releases the other three. By AnonMoos (public domain) |
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Width | 588 |
Height | 600 |