This underwent a major revision, beginning Friday at 11 and ending Saturday at 5 :D (plus I had to put a couple of fires out the next morning).
I often get ahead of myself and I'm going to do it here. With no introduction to tatami tilings nor to tomography and not to mention, their intersection, I present this flash application.
I appreciate your comments and bug reports (post them here if you like). Apologies for the jumbled user interface, I'll update that stuff if and when I realize that someone other than me and a couple of friends want to play with it ;).
Try the following: Press "Random Tiling" and then press "Tomography". Read the instructions that appear at the bottom right and see how fast you can place all the mats onto the grid. Note that 1x1 mats appear twice (you'll see why when you place one).
Without further ado:
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