You lot need to get out more! But I like the contrast, both in theme and within the image, man made opposites to curves and natures largest curve; the horizon!
Would not the Weierstrass function, for example, which is continuous everywhere but differentiable nowhere, count as a curve? And what about fractals? I think neither the English language nor English-speaking mathematicians are very consistent about what exactly is a "curve".
But if you're going to require differetiablity, I don't think a Lipschitz condition would be a serious hindrance, considering that entries are restricted to a finite number of pixels. - Warren
Guest
10-Feb-2007 00:16
Hmmm.... I find continuity in the shitz coming from my lips as well most of the time.. but maybe its a pigment on my colourfull imagination ? Glad you er ... like it ??? ;-)
G.
I was considering this as "curve minimal". But I see here a lot of non-differentiable points, thus the classical sense of the "curve" is really ruined here. May be the "curve" should be defined more precisely, say let it be a function on a connected set which is continous and differentiable. I would love to request Lipshitz continuity too, but I think that this would unnecessarily bound your photographic imaginations. Cheers, MCsaba
If you're going to be mathematical, you can't properly consider this an antithesis. A straight line is just a special case of a curve, i.e., one with zero curvature. :-)
A nicely balanced composition, though. Mondrian would have approved. - Warren
