Question: Mason used computer geometry software to make the figure to the right. Since he used only regular polygonslong dashequilateral triangles, squares, hexagons, and dodecagonslong dashhe

Mason used computer geometry software to make the figure to the right. Since he used only regular polygonslong dashequilateral triangles, squares, hexagons, and dodecagonslong dashhe believes he has found a new semiregular tiling. What has Mason overlooked?Branko Grnbaum and G. C. Shephard (Tilings and Patterns, W. H. Freeman and Co., 1987) discovered the tiling shown here in the children's coloring book Altair Design (E. Holiday, London: Pantheon, 1970). (a) What kinds of polygons appear? (b) Grnbaum and Shephard claim that this is a "fake" tiling by regular polygons. Explain why

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