I may be math challenged, but my dog is likely some sort of math jeenyous. According to this article, Miss Brown can run and do calculus at the same time. I am uber impressed.
When running from A towards C, the ball at B appears closer and closer as the dog gets closer to C, but its speed of approach to B diminishes (reaching zero at C). At some moment of its run, its speed of approach while running on the beach equals its speed of approach when swimming directly to the ball. If the dog jumps into the water at this moment, the strategy yields the same y value as that provided by the travel-time minimization model (where r is the dog\’s running speed, and s is its swimming speed).
I get a brain ache just trying to figure out what that means.
In art news, I worked on a bunch of ATC-sized mini-collages last night while I flipped between The Amazing Race and Independent Lens. I’m not a drama or theater buff, but the documentary on Oakley Hall III on Independent Lens was fascinating. I hope they re-run it, because I’d like to see the whole thing.
I haven’t scanned/photographed the collages yet. Hopefully, I’ll have time to do it tonight. I think I did 9 or 10 of them, and all but a couple are completely finished. Not a bad evening’s work, I think.