Tuesday 31st July 2007

the beautifulest things

in my head, almost daily, i go on these little trips. how i get there i don't know, but each trip is always beautiful and always ends at one of the following.

i urge you to read at least a couple of these. true: i will never know whether you did, but i will sleep easier knowing i asked.

the mandelbrot set
when we finally isolate the higgs boson, we will smash it apart and julia will emerge and open her eyes.

kolmogorov complexity
and not just because it links to the mandelbrot set.

the lorenz attractor
credo, sine ratione, reality is fractal. there is no smallest grain.

these little guys are all tangled up with my thoughts of the grand unification theory. it's out there, and it will extract a terrible price, you mark my words.

hyperbolic geometry
what a difference one little axiom makes: the universe (at one extreme) ends in fire, or (at the other) in ice, or (at the lack of extreme) neither.

the normal distribution
every, repeat every field of knowledge can be seen better when cast in the warm light of the bell curve.

euler's identity
cthulhu fhtagn euler—it is the source of his power.

the laplace transform
as the article says, these buggers will not only drastically reduce the time and effort required to solve the problem, but will fundamentally change the way you think about the problem.

turing machines
reductionism! reductionism! reductionism! HOW MANY TIMES MUST I TELL YOU

the unary magic square
and, of course, it works with arbitrarily lonely values of one.

i saved the best for last. this is basically the holy grail of the mathematical universe. (i'm a simple guy, and i don't say that with pretense.)

p.s. happy birthday, harry.

posted by mAtt @ 21.08 (gmt+0000)
to /geek/happiness/insoluble