Derived from the evolution of a space-filling boundary system.
MATLAB
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This image is dedicated to the Public Domain. There are no restrictions on use. Claiming to be the originator or owner, explicitly or implicitly, is bad karma. A link (if appropriate), a note to markdow30@gmail.com, and credit are appreciated but not required.
MATLAB
----------------------
This image is dedicated to the Public Domain. There are no restrictions on use. Claiming to be the originator or owner, explicitly or implicitly, is bad karma. A link (if appropriate), a note to markdow30@gmail.com, and credit are appreciated but not required.
:origin()/pre00/948b/th/pre/i/2007/355/8/9/dancing_ansel_star_by_markdow.png)
:origin()/pre00/faf6/th/pre/i/2008/328/e/e/mixed_symmetries_by_markdow.png)
--
Allen Brown [link]
There's a perfectly good explanation for this, which I'll make up later. --- Bug Hall in "The Little Rascals"
This particular image is created with the command line >> L_system_tiling( 'F', 10, 2, 1, 0, '', 0, [0 10; 0 1 ], [1 10; 101 1] );
You can do the block replacement by hand, but it's tedious. The last two arrays ([2x2], [2x2]) specify how symbols (black = 0, white = 1) are replaced by a 2x2 block of new symbols. So 0->[0 10; 0 1 ] and 1->[1 10; 101 1], where 10 indicated the 0 matrix rotated by 1*pi/2, and 101 indicates the 1 matrix mirrored about the vertical.
Sometime I'll post a better graphical description.