# What are the uses of a pentagonal pyramid?

The pentagonal pyramid is one of the Johnson solids. It is bounded by 5 equilateral triangles and 1 pentagon. It is the second polyhedron in Norman Johnson's list, and thus bears the label J2. A pentagonal pyramid of edge length 2 has height √((10... read more

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A pentagonal pyramid of edge length 2 has height √((10−2√5)/5), or approximately 1.05146. It is therefore quite a shallow pyramid, barely over half of its edge length. In 4D, this fact causes the pentagonal prism pyramid, which has two pentagonal pyramid cells, to be very shallow indeed. read more

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In geometry, a pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point (the vertex). Like any pyramid, it is self-dual. The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles. It is one of the Johnson solids (J 2). read more

In geometry, the gyroelongated pentagonal pyramid is one of the Johnson solids (J 11). As its name suggests, it is formed by taking a pentagonal pyramid and"gyroelongating" it, which in this case involves joining a pentagonal antiprism to its base. read more

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