File:Five-fivefold-spirals-quintuple-pentaskelion.svg
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Summary
DescriptionFive-fivefold-spirals-quintuple-pentaskelion.svg | Abstract pattern with five five-fold spirals (a quintuple "pentaskelion"). This is a loose version of images Image:Triple-Triple-Spiral-triskelion.svg and Image:Triple-Triple-Spiral-Trisk-simple.svg with pentagonal rotational symmetry. For a simpler version ("wheeled" instead of enclosed within an overall spiral), see Image:Five-fivefold-spirals-Pentaskelion-simpler.svg . |
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Own work -- Converted from the following PostScript code: %! /archimdouble{ %%%%%%%%%%%%%%%% % PostScript program to display an Archimedean spiral by approximating % it with Bezier curves. Displays a quintuple spiral (ten spirals % rotated by 36 degree increments). %%% 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 % (a tenth of this between successive spirals) /incrm 18 def % insert a curve point after this number of degrees %%% Procedures: /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 phase 324 eq phase 144 eq or{A 85 lt A 50 gt and{/flag flag neg def}if}if phase 288 eq phase 108 eq or{A 100 lt A 80 gt and{/flag flag neg def}if}if phase 252 eq phase 72 eq or{A 140 lt A 115 gt and{/flag flag neg def}if}if phase 216 eq phase 36 eq or{A 180 lt A 150 gt and{/flag flag neg def}if}if phase 216 eq phase 36 eq or{A 30 lt A 15 gt and{/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 /sweeps .9 def/phase 0 def aspiral /sweeps .8 def/phase 36 def aspiral /sweeps .8 def/phase 72 def aspiral /sweeps .7 def/phase 108 def aspiral /sweeps .9 def/phase 144 def aspiral /sweeps .8 def/phase 180 def aspiral /sweeps 1.051 def/phase 216 def aspiral /sweeps .95 def/phase 252 def aspiral /sweeps .85 def/phase 288 def aspiral /sweeps .75 def/phase 324 def aspiral grestore %%%%%%%%%%%%%%%% }def -5 0 translate /curvedge{gsave centerx centery translate rotf rotate /lower 307.58 def/phase 180 def/incrm 8.745 def/sweeps .9 def aspiral /lower 375.825 def/incrm 13.897 def/sweeps 1.1 def aspiral grestore/lower 0 def}def/extensions{ /lower 288 def/incrm 16.19 def/sweeps 310 360 div def/phase 36 def gsave centerx centery translate rotf rotate aspiral grestore /lower 324 def/incrm 9.238 def/sweeps 334 360 div def/phase 0 def gsave centerx centery translate rotf rotate aspiral grestore /lower 378 def/incrm 11 def/sweeps 395 360 div def/phase 216 def gsave centerx centery translate rotf rotate aspiral grestore /lower 342 def/incrm 13 def/sweeps 359 360 div def/phase 252 def gsave centerx centery translate rotf rotate aspiral grestore /lower 306 def/incrm 12 def/sweeps 323 360 div def/phase 288 def gsave centerx centery translate rotf rotate aspiral grestore /lower 270 def/incrm 14 def/sweeps 289 360 div def/phase 324 def gsave centerx centery translate rotf rotate aspiral grestore /lower 0 def/incrm 18 def}def/lower 0 def /centerx 218 def/centery 276 def/rotf 0 def archimdouble curvedge extensions /centerx 394 def/centery 276 def/rotf 72 def archimdouble curvedge extensions /centerx 163.61300899000925335799635857583 def/centery 443.38594686794702869249332267472 def/rotf 288 def archimdouble curvedge extensions /centerx 448.38699100999074664200364142417 def/centery 443.38594686794702869249332267472 def/rotf 144 def archimdouble curvedge extensions /centerx 306 def/centery 546.83615127142229942618557069118 def/rotf 216 def archimdouble curvedge extensions 306 397.12160900146327136223444320816 translate /quint1{/phase 36 def aspiral/phase 108 def aspiral/phase 180 def aspiral /phase 252 def aspiral/phase 324 def aspiral}def /quint2{/phase 0 def aspiral/phase 72 def aspiral/phase 144 def aspiral /phase 216 def aspiral/phase 288 def aspiral}def gsave 11.89 rotate/sweeps 2.80 def/lower 875 def quint2 grestore gsave 11.7 rotate/sweeps 2.72 def/lower 839.8 def quint1 grestore gsave 10.95 rotate/sweeps 2.39 def/lower 803.8 def quint2 /incrm 1.257 def/lower 857.8 def/sweeps 2.39 def quint2 grestore/incrm 18 def gsave 10.45 rotate/sweeps 2.285 def/lower 768.7 def quint1 /incrm 7.188 def/lower 804.7 def/sweeps 2.285 def quint1 grestore showpage %EOF |
Author | AnonMoos |
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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 | 21:15, 9 October 2011 | 600 × 600 (49 KB) | AnonMoos | removing opacity in corners | |
19:12, 20 May 2007 | 600 × 600 (49 KB) | AnonMoos | Abstract pattern with five five-fold spirals (a quintuple "pentaskelion"). This is a loose version of image Image:Triple-Triple-Spiral-triskelion.svg with pentagonal rotational symmetry. Converted from the following PostScript code: <pre>%! /archi |
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Short title | Five five-fold spirals (Quintuple pentaskelion) |
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Width | 600 |
Height | 600 |