The figure below represents a ____

2013

The figure below represents a ____

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  1. A.

    Hilbert curve of order 3

  2. B.

    Hilbert curve of order 2

  3. C.

    Hilbert curve of order 1

  4. D.

    Hilbert curve of order 4

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Correct answer: A

The Hilbert curve is constructed as a limit of piecewise linear curves. The length of the nᵗʰ curve is ​, i.e., the length grows exponentially with n, even though each curve is contained in a square.

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