Hilbert curve [SEP] named after
Hilbert curve
A Hilbert curve (also known as a Hilbert space-filling curve) is a continuous fractal space-filling curve first described by the German mathematician David Hilbert in 1891, as a variant of the space-filling Peano curves discovered by Giuseppe Peano in 1890.
Because it is space-filling, its Hausdorff dimension is formula_1 (precisely, its image is the unit square, whose dimension is 2 in any definition of dimension; its graph is a compact set homeomorphic to the closed unit interval, with
Gosper curve
The Gosper curve, also known as Peano-Gosper Curve, named after Bill Gosper, also known as the flowsnake (a spoonerism of snowflake), is a space-filling curve. It is a fractal object similar in its construction to the dragon curve and the Hilbert curve.
The Gosper curve can be used also to efficient hierarchical hexagonal clustering and indexing.
Algorithm.
Algorithm Lindenmayer System.
The Gosper curve can be represented using an L-System with rules as follows:
- Angle