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Peano-Gosper Curve


PeanoGosperCurve

The Peano-Gosper curve is a plane-filling function originally called a "flowsnake" by R. W. Gosper and M. Gardner. Mandelbrot (1977) subsequently coined the name Peano-Gosper curve.

The Gosper island bounds the space that the Peano-Gosper curve fills.


See also

Dragon Curve, Exterior Snowflake, Gosper Island, Hilbert Curve, Koch Snowflake, Peano Curve, Sierpiński Arrowhead Curve, Sierpiński Curve

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References

Dickau, R. M. "Two-Dimensional L-Systems." http://mathforum.org/advanced/robertd/lsys2d.html.Mandelbrot, B. B. Fractals: Form, Chance, & Dimension. San Francisco, CA: W. H. Freeman, 1977.Mandelbrot, B. B. The Fractal Geometry of Nature. New York: W. H. Freeman, pp. 46-47 and 70-71, 1983.Trott, M. Graphica 1: The World of Mathematica Graphics. The Imaginary Made Real: The Images of Michael Trott. Champaign, IL: Wolfram Media, pp. 13 and 84, 1999.

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Peano-Gosper Curve

Cite this as:

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

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