File:Pentagonal-fractals-3.svg

Summary

Description

Three iterations of three separate fractal series, each of which starts from a regular pentagon.

  • On top (red): Fractal shapes derived by iteratively placing five smaller pentagons (in inverse color) along the edges of a pentagon (inside it).
  • In the middle (green): fractal shapes derived by iteratively replacing a pentagon with six smaller pentagons (one central, five peripheral).
  • At bottom (blue): fractal shapes derived by iteratively replacing a pentagon with six smaller pentagons, where the five peripheral smaller pentagons are the same color, while the central smaller pentagon is inverse color.
For a variation on the top (red) fractal, see File:Pentagonal-fractal-example.svg . For another depiction of the middle (green) fractal, see File:Penta plexity.png .
Date
Source

Self-made graphic, converted from a version of the following three-page vector PostScript source code:

%!
306 396 translate 4 dup scale/D 52.57315251 def/plr{dup 3 2 roll 72 mul
90 add dup 3 1 roll cos mul 3 1 roll sin mul}def/P{4 D plr 3 D plr 2 D
plr 1 D plr 0 D plr moveto 4{lineto}repeat closepath fill}def P gsave
1 setgray 5{gsave 2.5 D 1.7508 div plr translate .294 dup scale P
0 setgray 5{gsave 2.5 D 1.7508 div plr translate .294 dup scale P
1 setgray 5{gsave 2.5 D 1.7508 div plr translate .294 dup scale P
grestore 72 rotate}repeat grestore 72 rotate}repeat grestore 72 rotate}
repeat grestore showpage 306 396 translate 0.3068125350855 dup scale
/A 38.196601125 def/B 61.803398875 def/C 161.803398875 def/P{4.5 A
plr 3.5 A plr 2.5 A plr 1.5 A plr 0.5 A plr moveto 4{lineto}repeat
closepath fill}def/Q{4 A plr 3 A plr 2 A plr 1 A plr 0 A plr moveto
4{lineto}repeat closepath fill}def 0 1 4{gsave 423.60679775 plr
translate 0 1 4{gsave C plr translate 0 1 4{gsave B plr translate Q
grestore P}for grestore}for 0.5 1 4.5{gsave B plr translate P grestore
Q}for grestore}for 0 1 4{gsave B plr translate Q grestore}for P 0.5 1
4.5{gsave C plr translate 0.5 1 4.5{gsave B plr translate P grestore}
for Q grestore}for showpage 306 396 translate 0.3068125350855 dup scale
0 1 4{gsave 423.60679775 plr translate 0 1 4{gsave C plr translate 0 1
4{gsave B plr translate Q grestore}for grestore}for gsave 4.5 100 plr
3.5 100 plr 2.5 100 plr 1.5 100 plr 0.5 100 plr moveto 4{lineto}repeat
closepath fill grestore 0.5 1 4.5{gsave B plr translate 1 setgray P
grestore}for grestore}for gsave/X 261.803398875 def 4.5 X plr 3.5 X plr
2.5 X plr 1.5 X plr 0.5 X plr moveto 4{lineto}repeat closepath fill
grestore 1 setgray 0.5 1 4.5{gsave C plr translate 0.5 1 4.5{gsave B
plr translate P grestore}for grestore}for gsave 1 setgray 4 100 plr 3
100 plr 2 100 plr 1 100 plr 0 100 plr moveto 4{lineto}repeat closepath
fill grestore 0 setgray 0 1 4{gsave B plr translate Q grestore}for
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.
Category:Self-published work#Pentagonal-fractals-3.svgCategory:PD-self#Pentagonal-fractals-3.svg Category:Regular pentagons Category:Pentagonal fractals Category:Koch snowflakes Category:Images with PostScript source code Category:Order 4 Category:SVG fractals
Category:Images with PostScript source code Category:Koch snowflakes Category:Order 4 Category:PD-self Category:Pentagonal fractals Category:Regular pentagons Category:SVG fractals Category:Self-published work