Tuesday, July 19, 2016

Edmund Copeland & Gregory Galperin: Pi and Bouncing Balls: Galperin’s Billiard Method of Computing Pi

Gregory Galperin
Edmund Copeland




N Big Ball is Collisions required to turn around
0 16 times bigger 3
1 1600 times bigger 31
2 160,000 times bigger 314
3 16,000,000 times bigger 3,141
4 1,600,000,000 times bigger 31,415
5 160,000,000,000 times bigger 314,159
6 16,000,000,000,000 times bigger 3,141,592
  • M = 16 * 100^n * m
  • Galperin’s billiard method of computing pi