Concept

Elongated pentagonal pyramid

In geometry, the elongated pentagonal pyramid is one of the Johnson solids (J_9). As the name suggests, it can be constructed by elongating a pentagonal pyramid (J_2) by attaching a pentagonal prism to its base. The following formulae for the height (), surface area () and volume () can be used if all faces are regular, with edge length : The dual of the elongated pentagonal pyramid has 11 faces: 5 triangular, 1 pentagonal and 5 trapezoidal. It is topologically identical to the Johnson solid.

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