The diagram below shows a large regular hexagon with unit sides, within which has been constructed an 18-sided polygon shown as the dark area. This figure has been created by, firstly, constructing six squares within the hexagon, one from each side of the hexagon. These six squares overlap to create a number of different shapes. The dark highlighted area shows the region where four or more squares overlap.

Find the area of the highlighted 18-sided polygon. You may leave the answer as an exact expression.

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