Escher (1898 – 1972) is well known, but initially it was mathematicians and scientists who were most interested in Escher’s work. These tessellations work because all the properties of a tessellation are present.Although I am absolutely without training or knowledge, I often seem to have more in common with mathematicians than my fellow artists. Both tessellations will fill the plane, there are no gaps, the sum of the interior angle meeting at the vertex is 360 ∘, 360 ∘, and both are achieved by translation transformations. The interior angle of a hexagon is 120 ∘, 120 ∘, and the sum of three interior angles is 360 ∘. There are three hexagons meeting at each vertex. An interior angle of a square is 90 ∘Figure 10.103, the tessellation is made up of regular hexagons. There are four squares meeting at a vertex. In Figure 10.102, the tessellation is made up of squares.
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