Tile-Makers and Semi-Tile-Makers.

The article discusses various developments of a convex polyhedron using tilings. By cutting the surface of the polyhedron, a plane figure will result and that these cuts need not be bounded to edges but can also be made through faces. A plane figure is said to tile the plane if copies of the figure cover the plane with no gaps nor overlaps when placed end to end. A convex polyhedron P is a tile-maker if every development of P tiles the plane while P is said to be a semi-tile-maker if every edge-development of P tiles the plane. Several convex polyhedra that are considered tile-makers and a hypothesis about the convex polyhedra that could possibly be semi-tile-makers are discussed. In addition, the definition of dihedron and almost regular tetrahedron are also included.