Teruhisa Sugimoto
Abstract
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A convex pentagonal tile is a convex pentagon that admits a monohedral tiling. We show that a convex pentagonal tile that admits a periodic tiling has a property in which the sum of three internal angles of the pentagon is equal to 360°.
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A convex pentagonal tile is a convex pentagon that admits a monohedral tiling. We show that a convex pentagonal tile that admits a periodic tiling has a property in which the sum of three internal angles of the pentagon is equal to 360°.
Key concepts: Tile, Pentagon, Regular polygon, Combinatorics, Mathematics, Property (philosophy), Geometry, Materials science