Circles have no edges that would fit together…. We have a special property when it comes to quadrilaterals and shapes that tessellate, and that property states that all… Why can’t circles tessellate?Ĭircles cannot be used in a tessellation because a tessellation cannot have any overlapping and gaps. … All of the methods that work for a general isosceles triangle also work for a scalene triangle. Reflecting an isosceles triangle over its own sides does not necessarily produce a monohedral tessellation unless the triangle is an equilateral or an isosceles right triangle. … A regular pentagon does not tessellate by itself. Therefore, every quadrilateral and hexagon will tessellate. In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which three hexagons meet at each vertex. There are only three shapes that can form such regular tessellations: the equilateral triangle, square and the regular hexagon.
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