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).
See also Koch Snowflake ,
Peano-Gosper
Curve
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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." Referenced
on Wolfram|Alpha Gosper Island
Cite this as:
Weisstein, Eric W. "Gosper Island." From
MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/GosperIsland.html
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