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
(Sloane's A113211).
Gosper islands can tile the plane (Gardner 1989, p. 41).
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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