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Jul 5, 2015 at 12:46 comment added Jeremy Judge Excellent ideas Opal, thank you! I second Joseph in liking the balloon idea - I have seen balloons that are cubes when deflated and then become spheres when inflated - good illustration of smooth deformation. Knot theory would be a great starting point - you are right.
Jun 5, 2015 at 12:24 comment added Steven Gubkin Some games really are played on compact surfaces. I think space invaders is a torus? I think I recall another similar game being played in RP^2 or the Klein bottle. It would be neat to have a collection of games classified in this way.
Jun 5, 2015 at 12:00 comment added Joseph O'Rourke Using balloons is a nice idea.
Jun 5, 2015 at 6:29 history answered Opal E CC BY-SA 3.0