Function file: x, y hilbert_curve (n)

Creates an iteration of the Hilbert space-filling curve with n points. The argument n must be of the form 2^M, where m is an integer greater than 0. 

n = 8
[x ,y] = hilbert_curve (n);
line (x, y, "linewidth", 4, "color", "blue");

Demonstration 1

The following code

 clf
 n = 4;
 [x, y] = hilbert_curve (n);
 line (x, y, "linewidth", 4, "color", "blue");
 % -----------------------------------------------------------------------
 % the figure window shows an iteration of the Hilbert space-fillig curve 
 % with 4 points on each axis.

Produces the following figure

Figure 1

Demonstration 2

The following code

 clf
 n = 64;
 [x, y] = hilbert_curve (n);
 line (x, y, "linewidth", 2, "color", "blue");
 % ----------------------------------------------------------------------
 % the figure window shows an iteration of the Hilbert space-fillig curve 
 % with 64 points on each axis.

Produces the following figure

Figure 1

Package: miscellaneous