File:Box fractal.svg

Summary

Description

Fifth iteration of the cross (non-saltire) version of the "box fractal" or "Vicsek fractal", derived by iteratively replacing a square with a saltire or cross of five smaller squares on a 3-by-3 subgrid.

For the first four iterations of both forms of the fractal, see Box or Vicsek Fractal 4-iterations.svg.
Date
Source

This graphic was converted from the following vector PostScript source code:

%!
.5 dup scale/sq{3 mul exch 3 mul exch moveto 3 0 rlineto 0 3 rlineto
-3 0 rlineto closepath fill}def/X{0 1 sq 1 1 sq 2 1 sq 1 0 sq 1 2
sq}def/X1{9 mul exch 9 mul exch gsave translate X grestore}def/x{0 1
X1 1 1 X1 2 1 X1 1 0 X1 1 2 X1}def/X2{27 mul exch 27 mul exch gsave
translate x grestore}def/xx{0 1 X2 1 1 X2 2 1 X2 1 0 X2 1 2 X2}def
/X3{81 mul exch 81 mul exch gsave translate xx grestore}def/xxx{0 1
X3 1 1 X3 2 1 X3 1 0 X3 1 2 X3}def/X4{243 mul exch 243 mul exch gsave
translate xxx grestore}def/sqq{/s exch def 1 .7 .8 setrgbcolor 0 0
moveto s 0 rlineto 0 s rlineto s neg 0 rlineto closepath fill 0
setgray}def 240 360 translate 729 sqq 0 1 X4 1 1 X4 2 1 X4 1 0 X4 1 2
X4 0 showpage
%EOF
Author AnonMoos
Permission
(Reusing this file)
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.
Category:Self-published work#Box%20fractal.svgCategory:PD-self#Box%20fractal.svg
Other versions
1st through 4th iterations
SVG development
InfoField
 
The SVG code is valid.
Category:Valid SVG created with Text Editor:Orders
 
This military insignia was created with a text editor.
Category:Black and white fractals Category:Fractal dimension between one and two Category:Images with PostScript source code Category:Order 5 Category:Vicsek fractals Category:SVG fractals
Category:Black and white fractals Category:Fractal dimension between one and two Category:Images with PostScript source code Category:Order 5 Category:PD-self Category:SVG fractals Category:Self-published work Category:Valid SVG created with Text Editor:Orders Category:Vicsek fractals