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Why is the pentagon the shape of a pentagon not any outer shape in Washington DC?

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The building plans was made for another site where it had to have that shape to maximize the use of the land. The building site was changed but the plans kept the old way since it was early war time (beginning of WW II) and the building had to be finished as soon as possible
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Shape of a pentagon?

A pentagon is a 2D, five sided shape. A regular pentagon looks a bit like a house, with a square without a top and instead a point.