File:Triskelion-quasi-tessellation.svg
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Summary
[edit]DescriptionTriskelion-quasi-tessellation.svg | A quasi-tessellation of interlocked triskelions which are generated from mathematical Archimedean spirals. It is not a complete tessellation of the plane, since there are small uncovered concave triangular gaps between the triskelions. | |||
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Source |
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 % (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 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: /sweeps 1.26 def/phase 0 def aspiral triple 0 ne{/phase 120 def aspiral /phase 240 def aspiral} if grestore %%%%%%%%%%%%%%%% }def 306 396 translate .5 dup scale 180 rotate 1 -1 scale /lower 0 def /centerx 0 def/centery 0 def/rotf 0 def archimtriple /centerx 0 def/centery 256.666667 def/rotf 0 def archimtriple /centerx -222.279854 def/centery -128.333333 def/rotf 0 def archimtriple /centerx 222.279854 def/centery -128.333333 def/rotf 0 def archimtriple /centerx 0 def/centery -256.666667 def/rotf 0 def archimtriple /centerx -222.279854 def/centery 128.333333 def/rotf 0 def archimtriple /centerx 222.279854 def/centery 128.333333 def/rotf 0 def archimtriple /centerx 0 def/centery 513.333333 def/rotf 0 def archimtriple /centerx 0 def/centery -513.333333 def/rotf 0 def archimtriple /centerx -444.559707 def/centery 0 def/rotf 0 def archimtriple /centerx 444.559707 def/centery 0 def/rotf 0 def archimtriple /centerx -444.559707 def/centery -256.6666670 def/rotf 0 def archimtriple /centerx 444.559707 def/centery 256.666667 def/rotf 0 def archimtriple /centerx -444.559707 def/centery 256.6666670 def/rotf 0 def archimtriple /centerx 444.559707 def/centery -256.666667 def/rotf 0 def archimtriple /centerx -222.279854 def/centery -385 def/rotf 0 def archimtriple /centerx 222.279854 def/centery -385 def/rotf 0 def archimtriple /centerx -222.279854 def/centery 385 def/rotf 0 def archimtriple /centerx 222.279854 def/centery 385 def/rotf 0 def archimtriple showpage %EOF |
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Author | AnonMoos | |||
Permission (Reusing this file) |
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Other versions |
For another quasi-tessellation of triskelion shapes generated from Archimedean spirals, see File:Triskele-quasi-tesselation.svg . |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 01:57, 28 March 2021 | 627 × 543 (9 KB) | AnonMoos (talk | contribs) | {{Information |Description=A quasi-tessellation of interlocked triskelions which are generated from mathematical Archimedean spirals. It is not a complete tessellation of the plane, since there are small uncovered concave triangular gaps between the triskelions. |Source=Converted from the following self-authored PostScript vector source code: <pre>%! /archimtriple{ %%%%%%%%%%%%%%%% % PostScript program to display an Archimedean spiral by approximating % it with Bezier curves. Can display a... |
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File usage on Commons
The following 7 pages use this file:
- User:AnonMoos/Gallery
- File:Interlocked triskelions and partial triskelions in circle.svg
- File:Interlocked triskelions and partial triskelions in circle quasi-Aberlemno.svg
- File:Seven-sixfold-spirals-stroked.svg
- File:Seven-sixfold-spirals.svg
- File:Triskele-quasi-tesselation.svg
- File:Triskelion full and partials in circle.svg
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Short title | Quasi-tessellation of interlocked triskelions generated from Archimedean spirals |
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Width | 627 |
Height | 543 |