A tatami mat arrangement is a monomer-dimer tiling in which no four tiles may meet. For example, this arrangement is a tatami tiling of an orthogonal region.
Can you find a tatami tiling of this region which uses only 1x2 and 2x1 tiles?
Here is a blank version, so you can fill it out
And here is a paper I contributed to, if you want to do a little more reading: http://webhome.cs.uvic.ca/~ruskey/Publications/Tatami/TatamiCOCOONsubmitted.pdf
update: while I was preparing this uber-difficult puzzle for smart people, I managed to burn the rice into an orange cake, filling the house with smoke and nearly setting off the fire alarm.
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