13.4 Tessellations of the Plane

 

 

Examples: tiling of a floor or mosaics.

 

Def. Tessellation—the filling of the plane with repetitions of figures in such a way that no figures overlap and there are no gaps.

 

 

Regular tessellations (Figure)

 

            triangles (3)

            hexagons (6)

 

How many regular tessellations exist?

 

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