In the illustration, a regular hexagon and a regular octagon have been tiled with rhombuses. In each case, the sides of the rhombuses are the same length as the sides of the regular polygon.
(a) Tile a regular decagon (10-gon) into rhombuses in this manner.
(b) Tile a regular dodecagon (12-gon) into rhombuses in this manner.
(c) How many rhombuses are in a tiling by rhombuses of a 2002-gon? Justify your answer.
