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Maths Item of the Month

December 2014
A Christmas Star

An eight pointed Christmas star is made with a gold layer and a silver layer.

transformed quadratic

The star for the gold layer is formed from a regular octagon ABCDEFGH by finding the points of intersection of the squares ACEG and BDFH.

transformed quadratic

The silver layer is formed from the same regular octagon ABCDEFGH by creating the star ADGBEHCF.

transformed quadratic

What fraction of the gold layer is covered by the silver layer?

Maths item of the month archive