2002 BAMO p2 tiling regular 10-gons,12-gons into rhombuses
Source:
August 26, 2019
Tilingcombinatoricshecagonoctagonrhombus
Problem Statement
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 (-gon) into rhombuses in this manner.
(b) Tile a regular dodecagon (-gon) into rhombuses in this manner.
(c) How many rhombuses are in a tiling by rhombuses of a -gon?
Justify your answer.
https://cdn.artofproblemsolving.com/attachments/8/a/8413e4e2712609eba07786e34ba2ce4aa72888.png