hexagonal pyramid
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A hexagonal prism.
A hexahedron or a triangular dipyramid. This is the shape formed by two triangular pyramids (tetrahedrons) stuck together along one triangular face.
sqare based pyramid
There is no such shape - unless there are other faces. If there is one rectangular face then you require at least four other faces - one on each edge of the rectangle - making a minimum of 5 faces.
It have six (as in hexagonal) around the edge, a top and bottom face and the hole in the middle with the thread. So it have 8 faces.