Gosper Island

The Gosper island (Mandelbrot 1977), also known as a flowsnake (Gardner 1989, p. 41), is a fractal that is a 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

(OEIS A113211).

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

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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."

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Gosper Island

Cite this as:

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

Gosper Island

See also

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References

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