Tessellations Look at the photograph.


Tessellation of squares


Tessellation of triangles Tessellation of hexagons


Tessellations or tiling means to arrange shapes in a repeated pattern so as to leave no spaces.


As you can see from the diagrams, squares, equilateral triangles and hexagons tessellate.


1. Make some tessellations using actual 2-D shapes.


2. Copy 1 of the above patterns onto squared paper and continue it across the page, leaving no spaces.


3. Not every 2-D shape tessellates. Can you predict which of these shapes will tessellate and which will not? Check your answers by drawing them.


Tessellate: Yes/No Circle


Parallelogram Isosceles triangle Trapezium Pentagon Hexagon Rectangle Semi-circle


4. Draw this tessellation of a rhombus into your copy and continue the pattern. When fi nished, colour it in, making an interesting pattern.


5. Tessellations can be found in our environment. Think of 5 examples in your classroom, school or playground. Discuss with the person beside you. Does this shape tessellate?


2-D Shapes 71


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