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Gosper Island
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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).

SEE ALSO: Koch Snowflake, Peano-Gosper Curve

REFERENCES:

Gardner, M. Penrose Tiles and Trapdoor Ciphers... and the Return of Dr. Matrix, reissue ed. New York: W. H. Freeman, 1989.

Mandelbrot, B. B. Fractals: Form, Chance, & Dimension. San Francisco, CA: W. H. Freeman, Plate 46, 1977.

Mandelbrot, B. B. The Fractal Geometry of Nature. New York: W. H. Freeman, pp. 70-71, 1983.

Sloane, N. J. A. Sequence A113211 in "The On-Line Encyclopedia of Integer Sequences."




CITE THIS AS:

Weisstein, Eric W. "Gosper Island." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/GosperIsland.html

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