Liu Hui's π algorithm

Liu Hui was a Chinese mathematician who lived during the third century AD, and he is particularly known for his work on geometry and the approximation of π (pi). In his landmark work "The Nine Chapters on the Mathematical Art," Liu Hui devised an algorithm to calculate the value of π, which was based on inscribing and circumscribing polygons. The method he proposed is often described as follows: 1. **Start with a Circle**: Imagine a circle with a known radius.