The Chudnovsky algorithm is a fast method for calculating the digits of π (pi). Developed by the Chudnovsky brothers, it uses a series of mathematical formulas involving factorials and powers to converge rapidly to the value of π. This efficiency makes it particularly useful for computing millions of digits of π. The algorithm is based on Ramanujan's pi formulas and employs complex arithmetic to achieve high precision. It is widely used in computer programs and projects that aim to calculate π to extreme lengths, showcasing the power of modern computational techniques in mathematics.