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100 billion step walk on the digits of pi by Francisco Javier Aragón Artacho

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About This Gigapan

Taken by
Francisco Javier Aragón Artacho Francisco Javier Aragón Artacho
Explore score
Print Pricing
$8.23 to $548.00
108.03 Gigapixels
Date added
Jun 04, 2012
Date taken
Jun 04, 2012
experimental, fine art

This is a walk made out of the first 100 billion digits of pi in base 4 with the following rules for the steps:
- 0 right
- 1 up
- 2 left
- 3 down

The color indicates the path followed by the walk: it starts at red and moves up the spectrum (red-orange-yellow-green-cyan-blue-purple-red) as the walk progresses. After 100 billion steps it is close to where it started. It is unknown whether the digits of pi are random, although it is generally believed that they are. The picture clearly supports this conjecture: it shows a seemingly 'random' walk.

For more details, see walks.carma.newcastle.edu.au Will open in a new tab or window/

Image created at CARMA (Priority Research Centre for Computer-Assisted Research Mathematics and its Applications)

The University of Newcastle

Gigapan Comments (3)

Toggle Minimize gigapan_comment
  1. Manuel Elviro Vidal

    Manuel Elviro Vidal (February 20, 2013, 12:53AM )

    Enhorabuena x el trabajo, Francisco!

  2. Francisco Javier Aragón Artacho

    Francisco Javier Aragón Artacho (January 11, 2013, 07:31PM )

    Thanks for the suggestion, we will try it.

  3. Paul Heckbert

    Paul Heckbert (January 10, 2013, 12:28PM )

    Nice. You could use a 3-D Hilbert curve in RGB space as your color sequence, instead of the current spectral scheme. That would give you a more colorful picture.

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