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Regular tessellations are formed by equilateral triangles, squares, and hexagons; parallelograms cannot form a regular tessellation due to not having equal angles and sides.
Regular tessellations are patterns formed by repeating regular polygons to cover a plane without any gaps or overlaps. The only polygons that can form regular tessellations are equilateral triangles, squares, and hexagons. Therefore, a parallelogram cannot form a regular tessellation as it does not meet the criteria of having equal angles and equal sides.
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