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| View Original: | Box or Vicsek Fractal 4-iterations.svg (1154x560) | |||
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| Keywords: Box or Vicsek Fractal 4-iterations.svg Four iterations of a 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 Top Four iterations of the saltire form of the fractal Bottom Four iterations of the cross form of the fractal The second iteration is a form of the cross crosslet symbol of traditional heraldry Self-made graphic converted from the following vector PostScript source code <pre> 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/T 0 0 sq 1 1 sq 2 2 sq 0 2 sq 2 0 sq def/x 0 1 X1 1 1 X1 2 1 X1 1 0 X1 1 2 X1 def/t 0 0 T1 1 1 T1 2 2 T1 0 2 T1 2 0 T1 def/X1 9 mul exch 9 mul exch gsave translate X grestore def/T1 9 mul exch 9 mul exch gsave translate T grestore def/X2 27 mul exch 27 mul exch gsave translate x grestore def/T2 27 mul exch 27 mul exch gsave translate t grestore def/xx 0 1 X2 1 1 X2 2 1 X2 1 0 X2 1 2 X2 def/tt 0 0 T2 1 1 T2 2 2 T2 0 2 T2 2 0 T2 def/X3 81 mul exch 81 mul exch gsave translate xx grestore def/T3 81 mul exch 81 mul exch gsave translate tt 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 gsave 10 10 translate 27 dup scale 9 sqq X 0 11 translate 9 sqq T grestore gsave 307 10 translate 9 dup scale 27 sqq x 0 33 translate 27 sqq t grestore gsave 604 10 translate 3 dup scale 81 sqq xx 0 99 translate 81 sqq tt grestore gsave 901 10 translate 243 sqq 0 1 X3 1 1 X3 2 1 X3 1 0 X3 1 2 X3 0 297 translate 243 sqq 0 0 T3 1 1 T3 2 2 T3 0 2 T3 2 0 T3 grestore showpage EOF</pre> 2009 AnonMoos For the fifth iteration of the cross variant see File Box fractal svg center thumb 490px Box fractal svg Box fractals Images with PostScript source code Order 4 | ||||
