Sunday, 26 December 2010

Tessellations

These are repeating patterns, which fills the page without over-lapping or leaving any gaps. Squares, Triangles and Hexagons are the only regular shapes which tessellate by themselves

Squares have 4 equal sides


Triangles have 3 equal sides


Hexagons have 6 equal sides


The limiting factor with brickwork is the 65mm. If a shape is bigger than this, it can not be cut from a single stretcher


Image drawn by Anne Dec '10
A hexagon could be created from two bricks,
but an isosceles triangle is tiny.
Even the parallelogram is a bit too small


Brickwork designed by Anne Dec '10
Notice it takes 3 cut-bricks to fill a stretcher
But more importantly, bricks aren't made in this shape!
So it's best to leave this one to the Tilers

The maths behind tessellations will help you when designing brickwork patterns, especially when identifying the Unit-Shape, Lines of Symmetry and Rotation


Image from ngfl-cymru.org
To learn more about Tessellations, click Interactive Program Go to Starter Activity then Main Session Part 1 and Part 2

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