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There is no simple way.

All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.In addition, there are concave polygons, and non-polygons which will tessellate.

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Q: How can you determine whether given shapes will make a tessellation?
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