Pentagons, decagons, and octagons will not tessellate. In order to create a tessellation, the sum of the angles at a point must be 360.
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Any polygon with external angles which are equal to a factor of 360 will tessellate. The only regular polygons which will tessellate are equilateral triangles, squares, and hexagons.
No.
No because only polygons whose interior angles are a factor of 360 will tessellate. For instance a regular pentagon will not tessellate because its interior angle is 108 degrees but a hexagon will tessellate because its interior angle is 120 degrees which is a factor of 360.
No convex polygon with 7 or more sides will tessellate.
square and octagon