Peano-Gosper Curve

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.

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.