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The curve of Helge von Koch.
A curve which is extremely long.

A dimension which is approximately 1,26186. Is this possible?
Yes indeed, and perhaps you can even imagine it.
The dimension of the Sierpinsky carpet is approximately 1,89279.
The dimension of the Menger-fractal is approximately 2,72683.
Cantor dust, a curious fractal with a dimenension ... 1.
A beautiful formula.