Tessellation

Task goals

• Identify which regular polygons (e.g. equilateral triangles, squares, hexagons) tessellate on their own and explain why, using angle sums at a vertex.
• Create and extend a tessellating pattern using a single irregular shape via translation and rotation, checking that angles at each vertex sum to 360 degrees.
• Design and justify a semi-regular or combined-shape tessellation (two or more polygon types), proving the tiling is valid using interior angle calculations and describing the transformations used to generate it.