Gosper curve

A fourth-stage Gosper curve
The line from the red to the green point shows a single step of the Gosper curve construction

The Gosper curve, named after Bill Gosper, also known as the Peano-Gosper Curve[1] and the flowsnake (a spoonerism of snowflake), is a space-filling curve whose limit set is rep-7. It is a fractal curve similar in its construction to the dragon curve and the Hilbert curve.

The Gosper curve can also be used for efficient hierarchical hexagonal clustering and indexing.[2]

  1. ^ Weisstein, Eric W. "Peano-Gosper Curve". MathWorld. Retrieved 31 October 2013.
  2. ^ Uher, Vojtěch; Gajdoš, Petr; Snášel, Václav; Lai, Yu-Chi; Radecký, Michal (28 May 2019). "Hierarchical Hexagonal Clustering and Indexing". Symmetry. 11 (6): 731. doi:10.3390/sym11060731. hdl:10084/138899.