A space-filling curve is a continuous curve in the unit square that passes through every point. Write a recursive Turt le client that produces these recursive patterns, which approach a space-filling curve that was defined by the mathematician David Hilbert at the end of the 19th century.

Design a pair of mutually recursive methods: hi1bert(), which traverses a Hilbert curve, and \(\operatorname{treb} 7 \mathrm{ih}()\), which traverses a Hilbert curve in reverse order. See the booksite for details.

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