I was wondering if any has worked with funky bases. Like base 2.5 or pi as a base? Could it be used for something (programming/other)? I was trying to stuff with it, and it blew my mind. But I showed it to my math teacher and he thought it was pretty cool. (10 = pi..at least the way I did it ) This is my new thing. I love numbers (as do the rest of you)..just wondering what other people have done. +H3 FU+UR3 ØF MUZ!K MUZ+ NØ+ B37ØNG +Ø +H3 m3D!ØCr3
"I couldn't break the rules if we didn't have any." - Me on discussing why anarchy is better than democracy in History class.

Almost as fun as fractional dimensions.

-Jussi

And in fact, the two can be related! One of the more interesting categories of ''funky'' bases are complex bases -- for instance, base (1+i), which allows you (if I remember right) to use a quaternary representation with powers of 1+i (1, 1+i, (1+i)^2 = 2i, (1+i)^3 = 2i-2, (1+i)^4 = -4, etc) to represent all complex numbers. Now, on the normal line, the set of all ''pure'' fractions (that is, numbers that only use negative powers of your base) is just a range between 0 and 1. But the set of all ''fractions'' for base 1+i is a classic ''dragon curve'' shape in the complex plane, and its boundary is a fractal. Very cool stuff -- this is all in Volume 1 of Knuth''s _Art of Computer Programming_, where there''s a lot of great information on bases (how to do base conversions, unusual bases, all that stuff). Well worth checking out!

Whoa....alot of stuff. I gotta check that book out.

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