File:Closed-five-link-chain-knots.svg
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![File:Closed-five-link-chain-knots.svg](https://upload.wikimedia.org/wikipedia/commons/thumb/5/59/Closed-five-link-chain-knots.svg/600px-Closed-five-link-chain-knots.svg.png?20090812164946)
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[edit]DescriptionClosed-five-link-chain-knots.svg | Various decorative depictions of the "L10a174" link of mathematical knot theory (i.e. a closed 5-link chain), including interlinked circles and pentagons, and interlaced "yin-yang" type shapes... |
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Self-made graphic, converted from a version of the following vector PostScript source code: %! gsave 152 432 translate .55 dup scale 12.5 setlinewidth/plr{.25 sub 2.47213472 12.5 mul mul dup 3 2 roll 72 mul 90 add dup 3 1 roll cos mul 3 1 roll sin mul}def/P{4 4 plr 3 4 plr 2 4 plr 1 4 plr 0 4 plr moveto 4{lineto}repeat closepath stroke}def gsave 0.5 5 plr translate P grestore gsave 4.5 5 plr translate P grestore gsave 3.5 5 plr translate P grestore gsave 2.5 5 plr translate P grestore gsave 1.5 5 plr translate P grestore grestore gsave 152 132 translate .55 dup scale 12.5 setlinewidth gsave 2 5 plr translate P grestore gsave 3 5 plr translate P grestore gsave 4 5 plr translate P grestore gsave 0 5 plr translate P grestore gsave 1 5 plr translate P grestore grestore gsave 452 432 translate .825 dup scale/plr{dup 3 2 roll 72 mul 90 add dup 3 1 roll cos mul 3 1 roll sin mul}def 10 setlinewidth 0 1 4{100 plr 75 0 360 arc closepath stroke} for grestore gsave/archim{ %%%%%%%%%%%%%%%% % PostScript program to display an Archimedean spiral by approximating % it with Bezier curves. %%% Parameters: % centerx = horizontal coordinate of center of spiral % centery = vertical coordinate of center of spiral % rotf = degrees to rotate % sepwid = width separating successive turnings of spiral % incrm = insert a curve point every these degrees /sweeps swp2 def % number of 360 degree turnings to show % double - 0 to display single spiral, else double /pi 3.1415926535898 def/radians 57.295779513082 def /sepwid sepwid pi div 2 div def gsave centerx centery translate rotf rotate /aspiral{/first 1 def lower incrm sweeps 360 mul{8{dup}repeat phase add cos/costh exch def phase add sin/sinth exch def costh mul radians div/thcosth exch def sinth mul radians div/thsinth exch def thcosth sepwid mul/x exch def thsinth sepwid mul/y exch def 0 eq phase 90 eq phase 270 eq or and{/slope 999999999 def}{/slope sinth thcosth add costh thsinth sub div def}ifelse sinth 0 gt sinth 0 eq costh -1 eq and or{/flag -1 def}{/flag 1 def}ifelse /A exch def phase 0 eq phase 180 eq or {A 49.29348 lt A 180 gt A 196.273450852 lt and A 360 gt A 368.8301 lt and A 540 gt A 545.9907 lt and A 720 gt A 724.5217 lt and A 900 gt A 903.6281968 lt and or or or or or{/flag flag neg def}if}if phase 120 eq phase 300 eq or{A 10 lt A 80 gt A 100 lt and or{/flag flag neg def}if}if incrm sub 3{dup}repeat phase add cos sepwid mul mul radians div /prevx exch def phase add sin sepwid mul mul radians div /prevy exch def incrm add 3{dup}repeat phase add cos sepwid mul mul radians div /nextx exch def phase add sin sepwid mul mul radians div /nexty exch def /prevdist x prevx sub dup mul y prevy sub dup mul add sqrt pi div def /nextdist x nextx sub dup mul y nexty sub dup mul add sqrt pi div def /normaliz slope slope mul 1 add sqrt def 0 eq{0 0 moveto/prevbezx phase cos nextdist mul def/prevbezy phase sin nextdist mul def/first 0 def}{first 1 eq{x y moveto/first 0 def}{prevbezx prevbezy x 1 flag mul normaliz div prevdist mul sub y slope flag mul normaliz div prevdist mul sub x y curveto}ifelse /prevbezx x 1 flag mul normaliz div nextdist mul add def /prevbezy y slope flag mul normaliz div nextdist mul add def}ifelse} for stroke}def /phase 0 def aspiral grestore}def 460 150 translate .2875 dup scale 56 setlinewidth 0 224 224 270 90 arcn stroke 1 224 plr 224 342 162 arcn stroke 2 224 plr 224 54 234 arcn stroke 3 224 plr 224 126 306 arcn stroke 4 224 plr 224 198 18 arcn stroke 0 setgray 32 setlinewidth 1 224 plr 236 186.8118 341 arc 3 224 plr 212 125 306 arcn stroke 2 224 plr 236 258.8118 53 arc 4 224 plr 212 197 18 arcn stroke 3 224 plr 236 330.8118 125 arc 0 224 212 269 90 arcn stroke 4 224 plr 236 42.8118 197 arc 1 224 plr 212 341 162 arcn stroke 0 224 236 114.8118 269 arc 2 224 plr 212 53 234 arcn stroke gsave 1 -1 scale/centerx 0 def/centery 0 def/incrm 18 def /sepwid 120 def/rotf -318 def/lower 1308 def/swp2 4.0334 def archim /sepwid 120 def/rotf -390 def archim /sepwid 120 def/rotf -462 def archim /sepwid 120 def/rotf -534 def archim /sepwid 120 def/rotf -606 def archim grestore 16 setlinewidth 1 0 0 setrgbcolor 1 224 plr 236 186.8118 341 arc 3 224 plr 212 125 306 arcn stroke .8 0 .8 setrgbcolor 2 224 plr 236 258.8118 53 arc 4 224 plr 212 197 18 arcn stroke 0 .5 1 setrgbcolor 3 224 plr 236 330.8118 125 arc 0 224 212 269 90 arcn stroke 0 .9 0 setrgbcolor 4 224 plr 236 42.8118 197 arc 1 224 plr 212 341 162 arcn stroke 1 1 0 setrgbcolor 0 224 236 114.8118 269 arc 2 224 plr 212 53 234 arcn stroke 1 0 0 setrgbcolor 1 224 plr 236 341 331 arcn stroke 1 -1 scale 0 .5 1 setrgbcolor /sepwid 120 def/rotf -318 def/lower 1308 def/swp2 4.0334 def archim 0 .9 0 setrgbcolor/sepwid 120 def/rotf -390 def archim 1 1 0 setrgbcolor/sepwid 120 def/rotf -462 def archim 1 0 0 setrgbcolor/sepwid 120 def/rotf -534 def archim .8 0 .8 setrgbcolor/sepwid 120 def/rotf -606 def archim 0 .5 1 setrgbcolor /sepwid 120 def/rotf -318 def/lower 1344 def/swp2 3.8334 def archim 0 .9 0 setrgbcolor/sepwid 120 def/rotf -390 def archim 1 1 0 setrgbcolor/sepwid 120 def/rotf -462 def archim 1 0 0 setrgbcolor/sepwid 120 def/rotf -534 def archim .8 0 .8 setrgbcolor/sepwid 120 def/rotf -606 def archim grestore grestore showpage %EOF |
Author | AnonMoos |
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[edit]Public domainPublic domainfalsefalse |
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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 | 16:49, 12 August 2009 | ![]() | 720 × 720 (17 KB) | AnonMoos (talk | contribs) | Various decorative depictions of the "L10a174" link of mathematical knot theory (i.e. a closed 5-link chain), including interlinked circles and pentagons, and interlaced "yin-yang" type shapes... Self-made graphic, converted from a version of the followi |
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Short title | Decorative closed 5-link chain knots |
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