Number Walks

Colorful paths of the first 100,000 digits of numbers like π, e, the golden ratio, and more

Colorful wandering paths emerge when examining the numbers of well known mathematical constants and irrational numbers like pi, e, the golden ratio, and others. Starting at a single point, a line was drawn for each number based on its value, rotated around the end point of the previous line. Colors were assigned for each set of 10,000 numbers—starting with red and ending at purple.

Number Walks legend

High-quality wall posters are available in two colors for numbers including: pi (π), Euler's number (e), the golden ratio (φ), the square root of 2 (√2), the square root of 3 (√3), the square root of 5 (√5), the natural logarithm of 2 (ln(2)), Apéry's constant (ζ(3)), and the Erdős-Borwein constant (E). A poster of all numbers is also available. With each number are links to download the numbers used, the original source where the numbers were obtained, and more information on Wikipedia as well as the Online Encyclopedia of Integer Sequences for reference.

This project was inspired by Nadieh Bremer's beautiful Art in Pi project which explored the path of one million pi digits.


Animated paths


Pi  π

Wikipedia / Download digits / Source / OEIS


Euler's number  e

Wikipedia / Download digits / Source / OEIS


Golden ratio  φ

Wikipedia / Download digits / Source / OEIS


Square root of 2  √2

Wikipedia / Download digits / Source / OEIS


Square root of 3  √3

Wikipedia / Download digits / Source / OEIS


Square root of 5  √5

Wikipedia / Download digits / Source / OEIS


Natural logarithm of 2  ln(2)

Wikipedia / Download digits / Source / OEIS


Apéry's constant  ζ(3)

Wikipedia / Download digits / Source / OEIS


Erdős-Borwein constant  E

Wikipedia / Download digits / Source / OEIS


Collection of irrational numbers


Press

  • Showcase, September 21, 2016, Information is Beautiful Awards 2016 Longlist