Kazuma is helping me again. :) Tessellations are a pattern of shapes that fit perfectly together. Tessellations are classified as regular, semi-regular, and other tessellations.
Regular tessellations are repetitions of 1 polygon. There are only three types of regular tessellations. Triangles, squares and hexagons.
Semiregular tessellations are made of two or more regular polygons. There are 8 semi-regular polygons. For pictures click on this link.
Other tessellations include demi-regular tessellations but mathematicians disagree on what defines them.
Some authors define demi-regular polygons as orderly compositions of three regular and eight semi-regular tessellations. Other authors define demi-regular tessellations as a tessellation having more than 1 transitivity class of vertices.Then, there are tessellations that have curved edges and circles.
Escher is a tessellation artist. He created pieces of art made with objects that can tessellate like the flying horses above. You can make your own tessellation with polygons at this tessellation maker.
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