A while back I wondered what it would be like to decompose a triangle and play with its parts. So I cut up a triangle and got busy.
My play started simply.
Things quickly got more complicated, with symmetry, patterns, and tilings.
I saw happening in myself what I kept telling people I saw in children at Math On-A-Stick last summer. The longer I persisted, the richer the ideas I had. These are in a bowl on the dining room table (along with my favorite pentagon and some materials for Tabitha’s decimal study), available for play whenever we like.
You may not have a laser cutter, but you certainly have access to a compass, cardstock, and scissors. I recommend getting down to business so you can play with my favorite quadrilateral.