In Plane Sight
It is your job to help as many triangles as possible congregate, in a fashion acceptable to all participants, to promote dialogue and peace. Find yourself a pen, paper, and a bag of Doritos, and consider:
Problem: Can three equilateral triangles of equal size be placed in a 'acceptable' arrangement? (If yes, what is the upper limit, if any?)
-I do know the answer, but it took me awhile. I've never really understood triangles...
-I haven't read Abbott's 'Flatland' since maybe age 12, so I have no idea how faithful this scenario is, or whether related visibility issues were explored in the book. As far as I know this puzzle has not been posed elsewhere, but I do recall there being at least one interesting visibility puzzle in Engel's book 'Problem Solving Strategies'.
-Notice how I refrained from saying 'acute paranoia'... it wasn't easy, but I think I'm a better person for having done so.