This afternoon I was in the bathroom, and I was staring down at the floor tiles as I often do. (Maybe that's why it always takes me so long to go to the bathroom- cuz I don't maintain concentration on the task at hand, hahaha.) But anyways, so I was looking at the tiles, and it's got this repeating pattern of squares and rectangles, and I noticed that for any given combination of four connected rectangles I chose, a tessellation of the figure could be made that would use up every rectangle on the floor. Hard to explain, but I think I'm on the verge of some kinda deeper understanding of geometry here or something. So I sat there staring at the floor tiles for like 10+ minutes trying to disprove my theory- seems to hold; hah, I musta been on the can for like nearly half an hour or something, hahaha.

Oh yea, and during my nap this afternoon I dreamed I had some simple, elegant method for solving a nonlinear (?, not exactly sure if that's what it's called) system of equations. Of course I couldn't remember any of the details when I woke up. But yea, it was probably on my mind cuz I was doing dynamics hw last night, and for the first time that I can recall, I encountered a system of equations that I absolutely didn't know how to solve with my trusty TI-83+. The professor had recommended a software package called TKSolver, which we can use in the aerospace labs. But since I'm in the habit of not starting hw until midnight of the day it's due, going to the lab wasn't much of an option. So after some searching on the net, I came across a shareware program called MiniTK which has the basic equation solving engine of the real TKSolver. It has an extremely old school interface, but it gets the job done- I highly recommend it.