File:Interlocked triskelions and partial triskelions in circle quasi-Aberlemno.svg
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[edit]DescriptionInterlocked triskelions and partial triskelions in circle quasi-Aberlemno.svg | An interlocking configuration of three triskelion shapes (which meet at a central point) and six partial triskelions, contained within a circle. This pattern is generated by means of Archimedean spirals, and is loosely inspired by the central design of the Aberlemno cross stone. This is based on an overall quasi-tessellation of the plane with triskelion shapes (leaving small concave triangular gaps between them -- see File:Triskelion-quasi-tessellation.svg), which is cropped within a circle (see File:Interlocked triskelions and partial triskelions in circle.svg), but with some additional adjustments (which do not use either Archimedean spiral curves or circular arcs) to simulate the appearance of the Aberlemno cross design more closely. According to George Bain, in the original Aberlemno cross design, the arms of each triskelion do not have constant width (as is the case when using Archimedean spirals)... For other variations on the theme of seven three-fold spirals, see File:Seven-sixfold-spirals.svg and File:Seven-sixfold-spirals-stroked.svg . | |||
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Converted from the following self-authored PostScript vector source code: %! /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 % (a third this if triple spiral is selected) /incrm 15 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 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 %%% If different sweeps parameter for other spirals, define here: X if grestore %%%%%%%%%%%%%%%% }def 306 396 translate 0.7 dup scale gsave .1 dup scale 10 setlinewidth /Z{1375 -1281.57 moveto 1827.637 -1209.534 2295.873 -1345.279 2750 -1283.33 curveto stroke 1638.6 641.667 moveto 1712.561 822.631 1817.527 1228.249 1970.83 1349.56 curveto stroke 2393.25 -2654.41 moveto 2369.59 -2897.187 2273.747 -3450.386 2062.5 -3572.35 curveto stroke }def Z 120 rotate Z 120 rotate Z grestore -90 rotate 1 -1 scale /X{/sweeps 1.45 def/phase 0 def aspiral triple 0 ne{/phase 120 def aspiral /phase 240 def aspiral} }def /lower 0 def /centerx 0 def/centery 0 def/rotf 0 def archimtriple gsave .6 setgray 0 0 137.5 0 360 arc closepath stroke grestore /X{/sweeps 1.02 def/phase 0 def aspiral triple 0 ne{/sweeps .98 def/phase 120 def aspiral /sweeps 1.26 def/phase 240 def aspiral} }def /centerx 0 def/centery 275 def/rotf 300 def archimtriple gsave .6 setgray 0 275 137.5 0 360 arc closepath stroke grestore /centerx -238.156986 def/centery -137.5 def/rotf 60 def archimtriple gsave .6 setgray -238.156986 -137.5 137.5 0 360 arc closepath stroke grestore /centerx 238.156986 def/centery -137.5 def/rotf 180 def archimtriple gsave .6 setgray 238.156986 -137.5 137.5 0 360 arc closepath stroke grestore /X{/sweeps 1.2 def/phase 0 def aspiral triple 0 ne{/sweeps 1.2 def/phase 120 def aspiral /sweeps 1.26 def/phase 240 def aspiral} }def /centerx 0 def/centery -275 def/rotf -60 def archimtriple gsave .6 setgray 0 -275 137.5 0 360 arc closepath stroke grestore /centerx -238.156986 def/centery 137.5 def/rotf 180 def archimtriple gsave .6 setgray -238.156986 137.5 137.5 0 360 arc closepath stroke grestore /centerx 238.156986 def/centery 137.5 def/rotf 60 def archimtriple gsave .6 setgray 238.156986 137.5 137.5 0 360 arc closepath stroke grestore 0 0 412.5 0 360 arc closepath stroke 0 0 -375.8333333 -7 12 arc stroke 0 0 -375.8333333 48 69 arc stroke 0 0 -375.8333333 113 132 arc stroke 0 0 -375.8333333 168 189 arc stroke 0 0 -375.8333333 233 252 arc stroke 0 0 -375.8333333 288 309 arc stroke 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 (7 KB) | Smasongarrison (talk | contribs) | slimmed down with svgomg // Editing SVG source code using c:User:Rillke/SVGedit.js | |
22:52, 10 April 2021 | 600 × 600 (9 KB) | AnonMoos (talk | contribs) | {{Information |Description=An interlocking configuration of three triskelion shapes (which meet at a central point) and six partial triskelions, contained within a circle. This pattern is generated by means of Archimedean spirals, and is loosely inspired by the central design of the Aberlemno cross stone. This is based on an overall quasi-tessellation of the plane with triskelion shapes (leaving small concave triangular gaps between them -- see File:Triskelion-quasi-tessellation.svg),... |
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Width | 600 |
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Height | 600 |