In 1890, Peano g, an Italian mathematician, was invented to fill a square curve called the piano curve. Later, Hilbert made this curve, also known as the Hilbert curve. The Hilbert-Peano curve is a type of fragtal graph that can be infinitely complex. Its initial element is a square. In the iterative generation process, small squares are constantly refined. The line segments in the graph are actually used to connect the lines of each square. It features twists and turns, in one breath, and can pass through all points in a square area on the plane. The Hilbert curve is a wonderful curve. If you select a function appropriately, draw a continuous parameter curve. When the parameter T is set to a value in the range of 0 and 1, the curve traverses all points in the square, get a curve with full space. The Hilbert curve is a continuous but untraceable curve.
Software:
Software: http://files.cnblogs.com/WhyEngine/Fractal.7z
Fractal-Hilbert-Peano Curve