tessellations this is a roman inlaid marble tiling pattern for more see
TRANSCRIPT
Tessellations
This is a Roman inlaid marble tiling pattern
For more see http://www2.spsu.edu/math/tile/historical/roman/
Roman Mosaic
Do all shapes tessellate?
• Triangles?
• Quadrilaterals?
• Pentagons?
• Hexagons?
• Heptagons?
• Octagons?
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 SquaresAre 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.
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.