File:Triskelion full and partials in circle.svg
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[edit]DescriptionTriskelion full and partials in circle.svg | A triskelion generated from Archimedean spirals (this shape can quasi-tessellate the plane, leaving only small gaps -- see File:Triskelion-quasi-tessellation.svg), enclosed within a circle. Parts of other triskelions in the pattern are cropped and joined to circular arcs. This is a simplified and recentered version of File:Interlocked triskelions and partial triskelions in circle.svg . It is partially loosely-inspired by a design on page 67 of Celtic Art: The Methods of Construction by George Bain, but the design in the Bain book does not use Archimedean spiral curves and is not enclosed within a circle... | |||
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Converted from the following self-authored PostScript vector source code: %! /pos{gsave centerx centery translate rotf rotate}def /archimtriple{ %%%%%%%%%%%%%%%% % PostScript program to display an Archimedean spiral by approximating % it with Bezier curves. Can display a triple spiral (three spirals % rotated by 120 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 30 def % insert a curve point after this number of degrees % /sweeps % number of 360 degree turnings to show /triple 1 def % change to 0 to for non-triple inner spiral %%% Procedures: /pi 3.1415926535898 def/radians 57.295779513082 def /sepwid sepwid pi div 2 div def pos /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 %%% If different sweeps parameter for other spirals, define here: X grestore %%%%%%%%%%%%%%%% }def 306 396 translate .7 dup scale 180 rotate 1 -1 scale /lower 0 def /edge1{/lower 480 def/incrm 15 def /sweeps 1.55 def pos aspiral grestore/lower 0 def/incrm 30 def}def /edge2{/lower 420 def/incrm 15 def /sweeps 1.35 def pos aspiral grestore/lower 0 def/incrm 30 def}def /X {/sweeps 1.15 def/phase 0 def aspiral triple 0 ne{/sweeps 1.26 def/phase 120 def aspiral /sweeps 1.26 def/phase 240 def aspiral} if}def /centerx -148.186569 def/centery 0 def/rotf 0 def archimtriple/phase 120 def edge1 /phase 0 def edge2 /X {/sweeps 1.26 def/phase 0 def aspiral triple 0 ne{/sweeps 1.26 def/phase 120 def aspiral /sweeps 1.15 def/phase 240 def aspiral} if}def /centerx 74.093285 def/centery -128.333333 def/rotf 240 def archimtriple/phase 0 def edge1 /phase 240 def edge2 /X {/sweeps 1.26 def/phase 0 def aspiral triple 0 ne{/sweeps 1.15 def/phase 120 def aspiral /sweeps 1.26 def/phase 240 def aspiral} if}def /centerx 74.093285 def/centery 128.333333 def/rotf 120 def archimtriple/phase 240 def edge1 /phase 120 def edge2 0 0 242.24 90 150 arc stroke 0 0 242.24 210 270 arc stroke 0 0 242.24 330 390 arc stroke 1 0 0 setrgbcolor 0 0 278.41 0 360 arc closepath stroke 0 setgray/incrm 10 def/lower 430 def/sweeps 1.26 def /centerx 74.093285 def/centery -385 def/rotf 240 def /phase 120 def pos aspiral grestore /centerx 296.373139 def/centery 256.666667 def/rotf 0 def /phase 120 def pos aspiral grestore /centerx -370.466424 def/centery 128.333333 def/rotf 120 def /phase 120 def pos aspiral grestore showpage %EOF |
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Author | AnonMoos | |||
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 01:23, 5 September 2022 | 600 × 600 (6 KB) | Smasongarrison (talk | contribs) | slimmed down with svgomg // Editing SVG source code using c:User:Rillke/SVGedit.js | |
21:40, 13 August 2021 | 600 × 600 (8 KB) | AnonMoos (talk | contribs) | {{Information |Description=A triskelion generated from Archimedean spirals (this shape can quasi-tessellate the plane, leaving only small gaps -- see File:Triskelion-quasi-tessellation.svg), enclosed within a circle. Parts of other triskelions in the pattern are cropped and joined to circular arcs. This is a simplified and recentered version of File:Interlocked triskelions and partial triskelions in circle.svg . It is partially loosely-inspired by a design on page 67 of ''Celtic A... |
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Height | 600 |