you can zoom into this huge image of a random walk based on the first 100 billion base-4 digits of pi 3.141... infinity: Rich Murray 2014.03.15

[Rich Murray-2]

you can zoom into this huge image of a random walk based on the first 100 billion base-4 digits of pi 3.141... infinity: Rich Murray 2014.03.15

http://rmforall.blogspot.com/2014/03/zoom-into-this-huge-image-of-random.html

Sweet and gentle sensitive man/With an obsessive nature and deep fascination/For numbers/And a complete infatuation with the calculation/Of Pi.

Our slice of pi

A fruitful new approach is to display the digits of pi or other constants graphically, cast as a random walk.

The first plot below shows a walk based on one million base-4 pseudorandom digits generated by a computer, where at each step the graph moves one unit east, north, west or south, depending on the whether the pseudorandom base-4 digit at that position is 0, 1, 2 or 3.

The colour indicates the path followed by the walk, coloured by a standard hue-saturation-value scheme that produces a rainbow of colours.

Credit: Math Drudge

http://gigapan.com/gigapans/106803

The next figure shows a walk on the first 100 billion base-4 digits of pi. This may be viewed dynamically in more detail online at the Gigapan site, where the full-sized image has a resolution of 372,224 x 290,218 pixels (108.03 billion pixels in total).

Credit: Math Drudge

This is one of the largest mathematical images ever produced and, needless to say, its production was by no means easy (see this paper for technical details).

http://www.davidhbailey.com/dhbpapers/tools-walk.pdf

from:

http://phys.org/news/2014-03-pi.html#nwlt

Read more at: http://phys.org/news/2014-03-pi.html#jCp

within the fellowship of service, 

Rich Murray, MA

Boston University Graduate School 1967 psychology,

BS MIT 1964, history and physics,

1039 Emory Street, Imperial Beach, CA 91932

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