A Piece of the Pi: mathematics explained

A Piece of the Pi: mathematics explained

Constructing space-filling curves

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Richard Green
Dec 30, 2024
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A curve that reaches every point in the unit square is known as a space-filling curve. One of the most famous space-filling curves is the Hilbert curve, which arises from the iterative procedure shown above. The curve at each stage is constructed by arranging and connecting four copies of the curve from the previous stage, and the Hilbert curve is the l…

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