mellifluous mulct
<< Mar 1, 2005 @ 02:39 >>
Wow. Mind blowing. The monster had me create a photo "lattice" (aka montage aka mosiac) for this web project I was working on. It was a great idea, but I had trouble pulling it off. Then it dawned on me that I should use the golden rectangle to get very happy proportions. So I did, and I did.
I had myself a woah (said like Keanu) moment when I was rotating the contents of the bottom rectangle (which is full of smaller rectangles) in my head and I realised it was the exact same thing minus the smallest of the rectangles. I suppose that is the whole entire POINT of a golden rectangle– I mean afterall, it is fractal in nature, and you can divide it to infinity.
Then I wondered if you rotated and zoomed the bottom rectangle and it's contents if you'd get the golden spiral. It turns out you DO! I guess that kind of comes from the definition of a golden rectangle itself, though.
Study the picture... see if you follow what I'm saying.
I know at least one of my readers is rolling his eyes right now because he was playing with this shit years ago and tried to tell me about it. In the end though, everything like this is like The Matrix... nobody can be told, you have to see for yourself.
After I made that image (automatically with a Photoshop action, mind you) I talked to my former co-worker Brian about toruses (tori?), Klein bottles, and whatnot.
I should be sleeping.
Reader Comments...
March 1, 2005 @ 02:59:52
xopl (#001)
It really could use some animation. I know what my first Flash project will be now.....
The blue and the red configuration are the end points. The bottom four blue rectangles of the blue configuration are zoomed and rotated into the red configuration. Get it?
March 1, 2005 @ 09:30:37
sith33 (#999)
The mobius?
/worf
March 1, 2005 @ 12:05:48
Christy (monster)
It's beautiful. I'm glad it worked out.
Also, tori is the proper plural of torus, but only an english professor, a know-it-all mathematician, or a latin scholar would correct you on it.
Note: I am none of the above.
March 1, 2005 @ 14:36:05
sith33 (#999)
I know I'd like to integrate your discrete eigenvalue matrix, if you know what I mean..
March 1, 2005 @ 17:08:58
xopl (#001)
I wish I didn't know what you meant, but unfortunately I do.
March 2, 2005 @ 13:18:32
Christy (monster)
I won't know what you mean for another week or two, when we cover that in diffEQ. I bet ignorance is bliss in this case, though.
March 2, 2005 @ 14:49:14
pamelaNeko (#1001)
you guys are fucking dorks.
March 2, 2005 @ 17:44:44
xopl (#001)
Actually.... we're just not college drop outs.
ohhhhhhhhhhhhhh SNAP
March 2, 2005 @ 18:36:24
sith33 (#999)
Yeah! We're underemployed college graduates!
March 2, 2005 @ 19:10:54
Christy (monster)
Hey! I wanna be an underemployed college graduate!
March 3, 2005 @ 12:46:28
pamelaNeko (#1001)
at least I have a job, you fucking math hippies!