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<http://www.ncsu.edu/scivis/lessons/colormodels/color_models2.html> scheme that produces a rainbow of colours. [image: We still can't get enough pi ... but why?] 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<http://gigapan.org/gigapans/106803>, where the full-sized image has a resolution of 372,224 x 290,218 pixels (108.03 billion pixels in total). [image: We still can't get enough pi ... but why?] 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<http://www.davidhbailey.com/dhbpapers/tools-walk.pdf> 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 [email protected] 619-623-3468 home 505-819-7388 cell http://groups.yahoo.com/group/AstroDeep/messages http://RMForAll.blogspot.com new primary archive http://groups.yahoo.com/group/aspartameNM/messages group with 118 members, 1,625 posts in a public archive http://groups.yahoo.com/group/rmforall/messages ______________________________________________
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