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| Keywords: Wheeled-Triskelion-basic.png One basic version of a wheeled form of a Triskelion or Triple Spiral symbol containing three double spirals which branch out into partial circular arcs which enclose the whole figure Inspired by various Celtic decorative motifs but this version is constructed from mathematical Archimedean spirals For a more ornate wheeled triskelion with an enclosing spiral instead of a partially enclosing circle see Image Triskelion-spiral-threespoked-inspiral png For other versions see Image Roissy triskelion iron ring signet png or Image Triple-spiral-wheeled-simple png For other non-wheel versions of the triskelion or triple-spiral symbols see Image Triskele-Symbol-spiral-five-thirds-turns png Image Triple-Spiral-Symbol-filled png Image Triple-Spiral-Symbol-4turns-filled png Image Triskele-Symbol-spiral png or Image Triple-Spiral-Symbol png For a spiral triskelion with a hollow triangle in the center see Image Triskele-hollow-triangle png For versions of a triple-spiral labyrinth see Image Triple-Spiral-labyrinth png and Image Triple-Spiral-labyrinth-variant png own - Generated by means of the following PostScript code <pre> /archimdouble PostScript program to display an Archimedean spiral by approximating it with Bezier curves Can display a double spiral two spirals rotated by 180 degrees with respect to each other Parameters centerx horizontal coordinate of center of spiral centery vertical coordinate of center of spiral rotf degrees to rotate /sepwid 110 def width separating successive turnings of spiral half this if double spiral is selected /incrm 15 def insert a curve point after this number of degrees CHANGED TO 30 FOR INNER SPIRALS /double 1 def change to 0 to display single spiral /quadruple 1 def change to 0 to display single/double spiral only Procedures /pi 3 1415926535898 def/radians 57 295779513082 def /sepwid sepwid pi div 2 div def gsave centerx centery translate rotf rotate /aspiral /prevbezy 0 def/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 90 eq phase 270 eq or not 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 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/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 x y moveto x 1 flag mul normaliz div nextdist mul pi mul const mul add y slope flag mul normaliz div nextdist mul pi mul const mul add lineto stroke def /sweeps 1 1714 def number of 360 degree turnings to show /const 3 7453 def /phase 0 def aspiral double 0 ne /sweeps 0 958514 def /const 2 2743 def /phase 90 def aspiral if quadruple 0 ne /const 0 def /sweeps 1 344446 def /phase 180 def aspiral /sweeps 1 083617 def /phase 270 def aspiral if grestore def /curvedge /const 0 def/lower 503 407 def/incrm 10 092 def /sweeps 1 45648 def/phase 90 def gsave centerx centery translate rotf rotate aspiral grestore def -40 30 translate gsave 807 -103 translate -0 825 0 825 scale -9 rotate /lower 0 def /disp 27 5 rotf 11 05 sub def/trnslx disp sin neg mul disp cos mul translate def gsave /centerx 304 def/centery 550 def/rotf 285 67 def trnslx gsave archimdouble grestore curvedge grestore /lower 0 def gsave /centerx 634 def/centery 550 def/rotf 45 67 def trnslx gsave archimdouble grestore curvedge grestore /lower 0 def gsave /centerx 469 def/centery 835 7884 def/rotf 165 67 def trnslx gsave archimdouble grestore curvedge grestore grestore 0 825 setlinewidth 341 567 362 2645 11 34375 360 0 arcn stroke 341 567 362 2645 234 173 1 2853 90 arc stroke 341 567 362 2645 256 716 90 -8 arcn stroke 341 567 362 2645 234 173 121 2853 210 arc stroke 341 567 362 2645 256 716 210 112 arcn stroke 341 567 362 2645 234 173 241 2853 330 arc stroke 341 567 362 2645 256 716 330 232 arcn stroke showpage EOF</pre> 2006 AnonMoos Wheeled-Triskelion-basic svg thumb center Triple spiral Archimedean spirals Images with PostScript source code | ||||
