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| Keywords: 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 Redrawn version of illustration in Hermann Brunn's 1892 article à ber 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 <pre> 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</pre> 2006 Original version by Maksim subsequent versions by AnonMoos Brunnian-4loops svg AnonMoos 4 component links Brunnian links Knots and links on white background Images with PostScript source code | ||||
