Liu Hui's π algorithm
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Liu Hui's Pi algorithm.Liu Hui, a mathematician in the Three Kingdom period, was the first Chinese mathematician to calculate Π to an accuracy of 4 digits.Before his time, the ratio of circumference of circle to diameter was taken as 3. Li Hui remarked in his commentary to the Nine Chapter of Mathematics that 3 was only the ratio of the circumference of an inscribed hexagon to the diamter of circle, hence pi must be greater than 3; and he calculated pi to between 3.141024 and 3.142708 with 96-gon; he suggested that 3.14 was a good enough approximation, and expressed pi as . Later he used a ingenious short cut and calulated pi =3.1416.
