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Gosper Island

flowsnake

The Gosper island (Mandelbrot 1977), also known as a flowsnake (Gardner 1989, p. 41), is a fractal that is modification of the Koch snowflake. The term "Gosper island" was used by Mandelbrot (1977) because this curve bounds the space filled by the Peano-Gosper curve.

It has fractal dimension

D=(2ln3)/(ln7)=1.12915...

(Sloane's A113211).

FlowsnakeTiling2
FlowsnakeTiling3

Gosper islands can tile the plane (Gardner 1989, p. 41).

 

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