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The only regular polygons which will tessellate are those with 3, 4 or 6 sides. But all irregular triangles, all irregular quadrilaterals, 15 classes of irregular convex pentagons and 3 classes of irregular convex hexagons will tessellate. In addition, there are concave polygons with different numbers of sides which will also tessellate.

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Q: Which of the polygons cannot be used to create a pure tessellation?
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Related questions

What shapes create a pure tessellation?

Whatshapes/pictures can create tessellations?Triangles,hexagons & squares.


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A pure tessellation is a tiling of a plane using one single type of regular polygon, such as triangles, squares, or hexagons, without any gaps or overlaps. The polygons fit together perfectly to cover the entire plane, creating a repeating pattern that extends infinitely in all directions. Pure tessellations are often found in art, architecture, and mathematics due to their aesthetic appeal and mathematical properties.


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