Re: Only scored 0.2787 in Al Z's circle packing contest :)
- Posted by Juergen Luethje <j.lue at gmx.de> Nov 11, 2005
- 464 views
Al Getz wrote: > I decided to test my strategy of different diameter circle packing out by > submitting a test set in Al Zimmerman's Circle Packing Contest. I had > originally done some circle packing before and discovered a few facts > about it, but everything was done with circles ALL of the same diameter > because it was intended for a very practical use, so everything had to > be changed. The symmetry that exists with circles all of the same > size disappears when the circle radii are all different. This presented > a more or less new problem to be solved, which i think i've made progress > on. > In order to test this theory i submitted a set to be 'scored' by the > 40 digit scorer used on AZ's contest site for circle packing. > To my dismay, or should i say "great dismay" (hee hee) this set only > scored 0.2787 out of a possible 1.0000 ! This is of course, wayyyy off! > Not only that, the 'scorer' tried to scale the set by something like > 2.99999 or whatever when the scale i was using was 1.0000 ! > > So what the heck happened??? > > Well, <chuckle> when a set is submitted for scoring the radii must appear > in *ORDER* from 1 to N !!! Now, why this is so is beyond me, except that > it makes it *easier* for the scoring program to compute the results! > Geometrically, it doesnt matter, but to the scorer, it DOES, so let this > be a warning to others that want to try the circle packing contest: > Make sure your radii are in the correct order or you'll get a very > nasty score :) I think that should be mentioned on the contest's website! <snip> Did you use your "vibration mechanism"? How about simulating a rotating lottery machine (2 dimensional, of course) <http://www.stern.de/standard/popup_neu.html?id=545423&bildint=0&img=%2F_content%2F54%2F54%2F545423%2Flottofee500_500.jpg&cred=Martin+Oeser%2FDDP&width=500&height=375&bgcol=%23FFE3CF&nv=pp&navid=81> Just another idea, trying to avoid thinking about the underlying geometry. Regards, Juergen