Octahedron https://en.wikipedia.org/wiki/Octahedron
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Yes, there is polygon that is called a diamond but it is not the same shape as the precious stone.
An octahedron: two quadrilateral based pyramids with their bases together.
Eight sided three-dimensional shape. Often this looks like two pyramids stuck together at their bases.
A hexahedron or a triangular dipyramid. This is the shape formed by two triangular pyramids (tetrahedrons) stuck together along one triangular face.
its called a square, or another shape; diamond