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Symmetry

Rotation

Some patterns are made by using rotations. A rotation is a turn. 

If you place your pencil into the middle of a piece of paper and hold it down in a fixed position, you can rotate or turn your paper around. After one full turn, 360 degrees, it will be back where it started. This is rotating the paper around its centre, and the paper stays in the same place (just in a different position). 

You could also rotate the paper from a different point, for example if you placed the pen at the edge instead, or even from a point outside of the shape. 

A top view of the table in Maureen Roffey's doll's house.  The table has four place settings, with simple black line drawings of a plate, cutlery,  and side plate for each person. There is a simple green triangle for a napkin on each side plate. The place settings are a translation of each other, with each being mostly identical, as if rotated around the centre of the table.
Table Rotation

There is an example of rotation with the plates on the dinner table in Maureen Roffey’s doll’s house. The plate, cutlery and napkin are repeated four times around the table, each one facing out. They have been rotated one quarter turn each time, with the middle of the table being the centre of the rotation. This allowed the plates to move to the different seats at the table, not just be rotated and stacked on the same spot!  

A simple line diagram with circles to represent plates and triangles to represent napkins, shows how the place settings on the doll's house dinner table are an example of rotation, with each setting rotated onto the next by a 90 degree turn about the centre of the table.
Rotation