Tessellations This is a Roman inlaid marble tiling pattern For more see

Roman Mosaic

Do all shapes tessellate? Triangles? Quadrilaterals? Pentagons? Hexagons? Heptagons? Octagons?

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Triangles always tessellate

Quadrilaterals always tessellate.

There are only three regular tessellations: Jump to transformations

Activity for the computer: Start a new PowerPoint Presentation. Save it in your network folder. Make the following slides: Slide 1 is the title slide “Tessellations” by Your name. The following slides should all show tessellations in two colours. Before you start click Draw  Grid  Snap objects to other objects. Use Autoshapes to select your shape (hold down shift to get the regular shape) Slide 2 is a tessellation of equilateral triangles Slide 3 is a tessellation of squares Slide 4 is a tessellation of hexagons Slide 5 is a tessellation of Octagons and Squares Are there any other pairs of regular shapes that tessellate?

Eight semi-regular tessellations 3,3,3,4,43,3,3,4,4 3,6,3,63,6,3,6 3,3,4,3,43,3,4,3,4 3,3,3,3,63,3,3,3,6 4,8,84,8,8 3,4,6,43,4,6,4 3,12,123,12,12 4,6,124,6,12

Semi-regular Tessellations

None edge to edge patterns

Combining shapes

Modifying by translation

Start with a two by three rectangle in your exercise book.

Cut a section out from the left and add it to the right.

Start with a two by three rectangle in your exercise book. Cut a section out from the left and add it to the right. Show, using at least six copies of your shape how it tessellates.