Koch snowflake
Other properties

The Koch snowflake is self-replicating with six smaller copies surrounding one larger copy at the center. Hence, it is an irrep-7 irrep-tile (see Rep-tile for discussion).

The fractal dimension of the Koch curve is ln 4 ln 3 ≈ 1.26186 {\displaystyle {\tfrac {\ln 4}{\ln 3}}\approx 1.26186}. This is greater than that of a line (= 1 {\displaystyle =1}) but less than that of Peano 's space-filling curve (= 2 {\displaystyle =2}).

It is impossible to draw a tangent line to any point of the curve.
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