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File:Box fractal.svg





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File:Box fractal.svg
Size of this PNG preview of this SVG file: 324 × 324 pixels. Other resolutions: 240 × 240 pixels | 480 × 480 pixels | 768 × 768 pixels | 1,024 × 1,024 pixels | 2,048 × 2,048 pixels.

Original file(SVG file, nominally 324 × 324 pixels, file size: 1 KB)





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.
Other versions
1st through 4th iterations
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This military insignia was created with a text editor.

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2013

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e09975a5db3baf5f90bc7f0d63c9a36e5f67c533

1,184 byte

324 pixel

324 pixel

File history



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



The following pages on the English Wikipedia use this file (pages on other projects are not listed):

List of fractals by Hausdorff dimension

N-flake

Vicsek fractal


Global file usage


The following other wikis use this file:

Usage on de.wikipedia.org

Tamás Vicsek


Usage on el.wikipedia.org

N-flake

Φρακτάλ του Vicsek


Usage on es.wikipedia.org

Anexo:Fractales por dimensión de Hausdorff

N-flake

Fractal de Vicsek


Usage on fr.wikipedia.org

Liste de fractales par dimension de Hausdorff

Fractale de Vicsek


Usage on it.wikipedia.org

Frattali per dimensione di Hausdorff


Usage on sl.wikipedia.org

Seznam fraktalov po Hausdorff-Bezikovičevi razsežnosti


Usage on zh.wikipedia.org





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Retrieved from "https://en.wikipedia.org/wiki/File:Box_fractal.svg"
 




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