Hey Roger, Your posts inspired me to track you down a bit. Nice website (The Entropy Liberation Front <http://elf.org/puzzle>). Not many posts, though. You should post more. I like your Puzzle Earth <http://elf.org/puzzle>. Very nice--except that the cursor doesn't always grab what it should.
-- Russ On Sun, Jul 18, 2010 at 10:14 AM, Roger Critchlow <[email protected]> wrote: > > > On Sun, Jul 18, 2010 at 10:53 AM, Ted Carmichael <[email protected]>wrote: > >> I agree with the comments on the psychology/perception issue. But I don't >> agree with this: >> >> "So no matter which bisecting plane through the sphere we examine, it >> will always have more sticks parallel to it than to the orthogonal pole. So >> this actually explains a "planar force". There more horizontal sticks than >> up/down sticks...." >> >> I just don't think that is possible. All you have to do is consider one >> case (that supposedly has more sticks parallel), and then freeze the sticks >> in place, and rotate the plane through the sphere so that it is now >> perpendicular to the original plane. Clearly now the "parallel" sticks are >> "perpendicular," so if there were more parallel before, now there are more >> perpendicular. >> >> The plane is simply a place of reference. It makes no difference on the >> number of sticks oriented one way or another. >> >> > There is no one plane perpendicular to a given plane in three dimensional > space, that only becomes a possibility in four dimensions. When you rotate > a plane through 90 degrees in 3D you end up with a plane that intersects the > original plane along a line. Some of the sticks parallel to the first plane > are still parallel to the rotated plane. > > -- rec -- > > > ============================================================ > FRIAM Applied Complexity Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College > lectures, archives, unsubscribe, maps at http://www.friam.org >
============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College lectures, archives, unsubscribe, maps at http://www.friam.org
