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A Plane-Filling Curve 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, Sierpinski Arrowhead Curve, Sierpinski Curve
References
Dickau, R. M. ``Two-Dimensional L-Systems.''
http://forum.swarthmore.edu/advanced/robertd/lsys2d.html.
Mandelbrot, B. B. Fractals: Form, Chance, & Dimension. San Francisco, CA: W. H. Freeman, 1977.