I only know one which is a polygon:)
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Quadrilateral
A rhombus is first a polygon, then a quadrilateral, parallelogram, and finally a rhombus.
A square is also a rectangle, a rhombus, a parallelogram, and a quadrilateral.
A rhombus may be a square or just a rhombus (a rhombus is merely called a rhombus when there are no 90 degree angles).
it has two names