Octagon roof
Photo: Nancy Andrews
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Octagon

Octagon roofs have eight sides, as the term implies. Builders often choose this shape when they need to roof a building that's round or nearly round. Instead of dealing with the awkward fractions that another shape might require, they simply divide 360 degrees into half, then half again, then half a final time, winding up with the 22 1/2-degree angle that's needed to build an eight-sided roof.
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