Hi.
I just wanted to share a fractal I just "found". It started as an attempt to find a way to transfer the rules behind the sierpinski triangle and -carpet to a hexagon. Kind of. It turned out this way:
The algorithm used to create this shape is
F -> _F+F+F+F+F+F
(where _ stands for going forward and F creates a new recursive instance, both with the current length multiplied by the length factor) with an angle of 60° (i.e. every + results in a right turn by this angle) and a length factor of 1/3.
At least I think so. I'm not exactly an expert on fractal definition stuff... well, whatever.
What's interesting about this is that the resulting shape has a striking resemblance to the koch snowflake. It gets especially obvious when removing the lines drawn by the higher iterations and reducing the drawn lines to the leaves of the recursion:
In case you don't know, this is the koch snowflake:
My fractal clearly contains exactly this shape in black form in its center (although rotated by 30°).
This is obviously not a great revelation or anything, just something I accidentally stumbled upon and that seemed interesting enough to share it.
...Fractals are cool!
