An elongated square pyramid is a solid formed by attaching a square pyramid atop a square prism. Such a solid might also be termed an obelisk (although that term is also used for a related but different solid).
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The equilateral elongated square prism is Johnson Solid 
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When the elongated square pyramid with unit edge lengths is truncated by a plane passing through opposite corners of its square base and the apex of the pyramid, it bisects the original solid and gives a half-obelisk that may be termed a hemiobelisk.
