[umhxikue] Poincare conjecture game

Create a game in which one flies around a closed 3-manifold, not necessarily a 3-sphere.  The player constructs loops within the manifold out of a material which gradually shrinks, tightening the loops.  Perhaps the goal is to construct a loop which does not shrink down to a point.

Even closer to Perelman's proof would be to have the manifold undergo Ricci flow, and then require the player to perform surgery around the singularities.