Description: Hilbert curve can fill a square filled with a flat fractal curves (space-filling curve), proposed by David Hilbert in 1891.
Because it can fill the plane, its Hausdorff dimension is 2. Take it fills the length of the square side length 1, Step n Hilbert curve is 2n- 2-n.
L system notation:
Variable: L, R
Constant: F,+,-
Axiom: L
Rules:
L →+ F- F+
R →-LF+ RFR+ FL-
F: Forward
-: 90 ° right turn
+: Turn left 90
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Hilbert.doc
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