|
Shadedtail (November 30, 1999 at 12:00 am)
because people ruin things for other people by going into long and unnecessary explanations of the logics behind a music video.
MobiusCoin (November 30, 1999 at 12:00 am)
Wow, that was unneccessary, this song does feature real math. It's not all just silly games and fun. And why do people always get shunned when they try to get some intelligent discussion going?
Shadedtail (November 30, 1999 at 12:00 am)
Mathametician ?
*pokes*
Go back to studying...really, its a fun song, not to be taken seriously.
AidanGS (November 30, 1999 at 12:00 am)
"You're one bad-ass fucking fractal."
ZexionII (November 30, 1999 at 12:00 am)
(continued) ah, bummer, first comment got lost it seems. oh well
Anyways, what is often done is, you keep track of the number of iterations of the algorithm you go through before z is out of limits, to describe how "close a complex number is to being part of the set". eg, -0.666+i*0.42 might be part of the set, and thus be colored all white, while -0.666+i*0.42 is nearly a part of the set, thus colored a slight grey.
ZexionII (November 30, 1999 at 12:00 am)
(continued)
However, this is highly impractical for representing the set, so therefore it is often implemented with a maximum amount of iterations, eg. 100 iterations, so up to z100. If zn does not diverge from c all the way up to max, it is considered part of the set.
One of the ways to test this is to test for |zn| = 2
This only returns the points fully considered part of the set. So, what about those colorful mandelbrot sets you see many places?
(Continues in next comment)
vineofthesouls (November 30, 1999 at 12:00 am)
great song.
ogicu8abruok0 (November 30, 1999 at 12:00 am)
1:16 I lol'd
timmer919hep (November 30, 1999 at 12:00 am)
This song is mind numbingly addictive
timmer919hep (November 30, 1999 at 12:00 am)
Coulton is the man |
