File:Box fractal.svg

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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
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(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.
Other versions
1st through 4th iterations
SVG development
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e09975a5db3baf5f90bc7f0d63c9a36e5f67c533

1,184 byte

324 pixel

324 pixel

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Date/TimeThumbnailDimensionsUserComment
current12:48, 28 August 2023Thumbnail for version as of 12:48, 28 August 2023324 × 324 (1 KB)Mrmwsimpler code
07:36, 20 May 2013Thumbnail for version as of 07:36, 20 May 2013735 × 735 (12 KB)AnonMooschange path coordinates from absolute to relative
15:26, 16 May 2013Thumbnail for version as of 15:26, 16 May 2013735 × 735 (19 KB)AnonMoosFifth 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 ...
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