Year+7+-+Week+1+-+Unit+5

Tessellations

Investigate which regular polygons tessellate.

Demonstrate your results for equilateral triangles, squares, pentagons, hexagons and octagons (as a minimum). Diagrams should be drawn accurately by hand where possible.

Do you think that a regular heptagon would tessellate?

Are there properties of these shapes which determine whether they tessellate or not?

Research some of the following and present examples:

Daisy Designs Tumbling Block Designs Tessellations with other non regular geometric shapes, for example a triangle Tessellations using translations Tessellations using rotations Tessellations using reflections Tessellations using capital letters Semi regular tessellations Mauritis Cornelis Escher Tessellations in 3-d (in nature) <span style="font-family: 'Comic Sans MS',cursive; font-size: 140%;">Tangrams <span style="font-family: 'Comic Sans MS',cursive; font-size: 140%;">Wall Paper patterns <span style="font-family: 'Comic Sans MS',cursive; font-size: 140%;">Maori symbols that tessellate <span style="font-family: 'Comic Sans MS',cursive; font-size: 140%;">Kow haiw hai <span style="font-family: 'Comic Sans MS',cursive; font-size: 140%;">Tukutuku patterns <span style="font-family: 'Comic Sans MS',cursive; font-size: 140%;">Taniko