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    Midpoint Polygon

    Illustration

    Illustration

    Definition

    A derived polygon with side ratios chosen as r = 1/2 so that inscribed polygons are constructed by connecting the midpoints of the base polygon. For a triangle P, the midpoint-inscribed polygons P_1, P_2, ... are similar triangles. For a quadrilateral P, the midpoint-inscribed polygon P_1 is a parallelogram known as the Varignon parallelogram, and P_1, P_3, P_5, ... are similar parallelograms, as are P_2, P_4, P_6, ....

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