Pi Series

The concept of a “Pi series” refers to any mathematical sequence that converges to the value of Pi (π). Historically, various mathematicians and scientists have contributed to the development of numerous formulas for calculating π. These include infinite series expansions, continued fractions, and other numerical methods.

Historical Development

The study of Pi has a long history dating back to ancient civilizations such as the Babylonians and Egyptians. Over time, mathematicians have developed increasingly sophisticated methods for estimating π with greater precision.

Recent Discoveries

Submission Notes

  • In Carl Sagan’s novel Contact, the main character (Ellie Arroway) is told by an alien that certain megastructures in the universe were created by an unknown advanced intelligence that left messages embedded inside transcendental numbers.
    • To check this, Arroway writes a program that computes the digits of π in several bases.
    • Eventually finds that the base 11 representation of π contains a sequence of ones and zeros that, when properly aligned on a page, produce a circular pattern.
    • She takes this as an indication of intelligent design in the universe.