(Hilbert curve) The Hilbert curve, first described by German mathematician David Hilbert in 1891, is a space-filling curve that visits every point in a square grid with a size of 2 × 2, 4 × 4, 8 × 8, 16 × 16, or any other power of 2. Write a Java applet that displays a Hilbert curve for the specified order, as shown in Figure 20.18.
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