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Some missions were built as four sided enclosures. The inside would then be a four-sided open space which is called a quadrangle.
An invisible quadrangle!
Any four-sided shape is a Quadrilateral. Some other examples are: square rhombus parallelogram quadrangle rhomboid rectangle oblong kite trapezium trapezoid
No, but a quadrangle is the same as a quadrilateral.
A square is both a quadrangle and a parallelogram.