Re: [math-fun] Tiling the Plane with 5-, 6- and 7-gons only

This problem surely needs to be made more specific. There are many ways to tile the plane with identical convex pentagons. Similarly for convex hexagons. The plane can be tiled with identical non-convex heptagons. It would be surprising if there were not infinitely many possibilities if all 3 must occur, but I don't know either if they could all be convex. I would suggest your friend have a look at the book "Tilings and Patterns" by Grünbaum and Shephard. Jim Buddenhagen