How many quadrilaterals are in the star of David?

There are no quadrilaterals in the Star of David- as in zero, none. The reason for this lies in the geometrical definition of the term quadrilateral. In the simplest terms, a quadrilateral is any polygon with four sides and four corners. Because the Star of David is a star polygon known as a hexagram, it is based almost exclusively on a trilateral (as in 3) system. A three-dimensional Star of David might actually have a quadrilateral, but the everyday commonly known two-dimensional variety has NO quadrilateral.