Von Koch Curve
This is the Von Koch curve. Its construction is almost as easy as the
Sierpinski Triangle. You start with a triangle (equilaterality is really
more important in this case than for the Sierpinski Triangle), and, on
each side, tack on little equilateral triangles, so you end up with a
shape very much like a Star of David.
The Star of David has six little triangles sticking out. For each
triangle, repeat the previous process. Iterate infinitely.
This page is very much under construction. When it is finished, there
will be more on fractal dimension, more about coastlines, and a complete
explanation of why the Von Koch curve has a infinite perimeter
surrounding a finite area.
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