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'Eight Hidden Squares' printed from http://nrich.maths.org/

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On the graph below there are $28$ marked points.
graph

These points all mark the vertices (corners) of eight hidden squares.
Each of the $6$ red points is a vertex shared by two squares.
The other $24$ points are each a vertex of just one square.
All of the squares share just one vertex with another square.
All the squares are different sizes.
There are no marked points on the sides of any square, only at the vertices.

Can you find the eight hidden squares?