Jump to content

File:Triple-Spiral-Symbol-4turns-filled.svg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file (SVG file, nominally 639 × 600 pixels, file size: 28 KB)

Summary

Description Most elaborate version of Triple Spiral symbol constructed from mathematical Archimedean spirals (see Image:Triple-Spiral-Symbol.svg). This version consists of filled spirals with four turns. See also Image:Triskele-Symbol-spiral.svg (with two turns) and Image:Triple-Spiral-Symbol-filled.svg (with three). Image:Triple-Spiral-4turns_green_transparent.png is another variant. For a basic triple-spiral, see Image:Triple-Spiral-Symbol.svg, and for "wheeled" forms of the spiral triskelion/triple spiral symbol, see Image:Wheeled-Triskelion-basic.svg , Image:Roissy triskelion iron ring signet.png , Image:Triple-spiral-wheeled-simple.svg , or Image:Triskelion-spiral-threespoked-inspiral.svg . For a spiral triskelion with a hollow triangle in the center, see Image:Triskele-hollow-triangle.svg . For versions of a triple-spiral labyrinth, see Image:Triple-Spiral-labyrinth.svg and Image:Triple-Spiral-labyrinth-variant.svg .
Date (PostScript source and PNG), 2006 (SVG)
Source

SVG version of Image:Triple-Spiral-Symbol-4turns-filled.png .


Converted from the following PostScript code:

%!
/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 = insert a curve point every these degrees
/sweeps swp2 def % number of 360 degree turnings to show
                 % double - 0 to display single spiral, else double
%%%  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{7{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
        /slope sinth thcosth add costh thsinth sub div def
        sinth 0 gt sinth 0 eq costh -1 eq and or{/flag -1 def}{/flag 1
            def}ifelse
        /A exch def 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
        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}def
/phase 0 def aspiral
%%% If different sweeps parameter for second spiral, define here:
/sweeps 3.67 def
%%%
double 0 ne{/phase 180 def aspiral}if grestore
%%%%%%%%%%%%%%%%
}def
gsave
573.5 100 translate -.36 dup neg scale -1 rotate
/lower 0 def/double 1 def/swp2 4 def/incrm 15 def
/centerx 304 def/centery 550 def/rotf 0 def archimdouble
/centerx 1147.334 def/centery 550 def/rotf 120 def archimdouble
/centerx 725.667 def/centery 1280.3486 def/rotf 240 def archimdouble
/lower 1460.31 def/double 0 def/swp2 1480 360 div def/incrm 9.83 def
/centerx 304 def/centery 550 def/rotf 0 def archimdouble
/centerx 1147.334 def/centery 550 def/rotf 120 def archimdouble
/centerx 725.667 def/centery 1280.3486 def/rotf 240 def archimdouble
grestore
showpage
%EOF
Author AnonMoos

Licensing

Public domain 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.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current10:51, 2 January 2015Thumbnail for version as of 10:51, 2 January 2015639 × 600 (28 KB)AnonMoosslightly adjusting margins
16:32, 10 October 2011Thumbnail for version as of 16:32, 10 October 2011642 × 600 (28 KB)AnonMoosopaque only near symbol
12:27, 18 December 2006Thumbnail for version as of 12:27, 18 December 2006642 × 600 (27 KB)AnonMoosadding white background
06:52, 7 July 2006Thumbnail for version as of 06:52, 7 July 2006642 × 600 (27 KB)AnonMoos== Summary == Most elaborate version of Triple Spiral symbol constructed from mathematical Archimedean spirals (see Image:Triple-Spiral-Symbol.svg). This version consists of filled spirals with four turns. See also [[:Image:Triskele-Symbol-spiral.s
No pages on the English Wikipedia use this file (pages on other projects are not listed).

Global file usage

The following other wikis use this file:

Metadata