PentaJumble is based on a geometry that was suggested by Bram Cohen. The puzzle has four pentagonal faces that can be rotated. The puzzle jumbles, which causes some strange bandaging. The puzzle has all kinds of weird geometric properties, some of which even Bram may not have anticipated. For starters, all edges can be interchanged. Moreover, there are many different ways to assemble the puzzle, such that it has the same outer shape, but different different positions of the little wedge-triangles.