Appendix A. Appendix

The following are two exotic, rapidly converging, infinite series π equations from the famed Ramanujan and the Chudnovsky brothers. These turbocharged π equations require, at most, two iterations to give a π value of fifteen decimal place accuracy. The Chudnovsky brothers' equation was derived from Ramanujan's formula, and the Chudnovsky algorithm was used in December 2009 to calculate π to an accuracy of 2.7 trillion digit, five trillion digits in August 2010, ten trillion digits in October 2011, and 12.1 trillion digits in December 2013. For a more in-depth historical perspective, please see the following links: 

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