Dror Bar-Natan's Image Gallery: Symmetry: Tilings: *2222| *333| *442| *632:

The Quotient Orbifold

Rectangles and triangles

The quotient orbifolds for the groups *2222, *333, *442 and *632 are disks with some numbers of corners on the (reflecting) boundary - that is, they are rectangles or triangles (made of a transparent material) as in the picture.