Brunnian.png
Summary
Description Brunnian.png | 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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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). Current file version generated by means of 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 |
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Author | Original version by Maksim, subsequent versions by AnonMoos | |||||
Other versions |
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Licensing
Public domain Public domain false false |
This work has been released into the
public domain
by its author,
AnonMoos
. This applies worldwide.
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