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Gyroelongated pentagonal pyramid

 

 
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Gyroelongated pentagonal pyramid
 
 
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In geometry
Geometry

Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers....
, the gyroelongated pentagonal pyramid is one of the Johnson solid
Johnson solid

In geometry, a Johnson solid is a strictly convex set polyhedron, each face of which is a regular polygon, but which is not uniform polyhedron, i.e., not a Platonic solid, Archimedean solid, prism or antiprism....
s (J11). As its name suggests, it is formed by taking a pentagonal pyramid
Pentagonal pyramid

In geometry, a pentagonal pyramid is a Pyramid with a pentagonal base upon which are erected five triangle faces that meet at a point . Like any pyramid, it is self-dual polyhedron....
 and "gyroelongating" it, which in this case involves joining a pentagonal antiprism
Antiprism

An n-sided antiprism is a polyhedron composed of 2 parallel copies of some particular n-sided polygon, connected by an alternating band of triangles....
 to its base. It can also be seen as an icosahedron
Icosahedron

In geometry, an icosahedron isany polyhedron having 20 faces, but usually a regular icosahedron is implied, which has equilateral triangle s as faces....
 with the top (a pentagonal pyramid
Pentagonal pyramid

In geometry, a pentagonal pyramid is a Pyramid with a pentagonal base upon which are erected five triangle faces that meet at a point . Like any pyramid, it is self-dual polyhedron....
, J2) chopped off by a plane.

The 92 Johnson solids were named and described by Norman Johnson
Norman Johnson

Norman W. Johnson is a mathematician, previously at Wheaton College, Massachusetts, Norton, Massachusetts. He earned his Ph.D. from the University of Toronto in 1966 with a dissertation title of The Theory of Uniform Polytopes and Honeycombs under the supervision of H....
 in 1966.








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In geometry
Geometry

Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers....
, the gyroelongated pentagonal pyramid is one of the Johnson solid
Johnson solid

In geometry, a Johnson solid is a strictly convex set polyhedron, each face of which is a regular polygon, but which is not uniform polyhedron, i.e., not a Platonic solid, Archimedean solid, prism or antiprism....
s (J11). As its name suggests, it is formed by taking a pentagonal pyramid
Pentagonal pyramid

In geometry, a pentagonal pyramid is a Pyramid with a pentagonal base upon which are erected five triangle faces that meet at a point . Like any pyramid, it is self-dual polyhedron....
 and "gyroelongating" it, which in this case involves joining a pentagonal antiprism
Antiprism

An n-sided antiprism is a polyhedron composed of 2 parallel copies of some particular n-sided polygon, connected by an alternating band of triangles....
 to its base. It can also be seen as an icosahedron
Icosahedron

In geometry, an icosahedron isany polyhedron having 20 faces, but usually a regular icosahedron is implied, which has equilateral triangle s as faces....
 with the top (a pentagonal pyramid
Pentagonal pyramid

In geometry, a pentagonal pyramid is a Pyramid with a pentagonal base upon which are erected five triangle faces that meet at a point . Like any pyramid, it is self-dual polyhedron....
, J2) chopped off by a plane.

The 92 Johnson solids were named and described by Norman Johnson
Norman Johnson

Norman W. Johnson is a mathematician, previously at Wheaton College, Massachusetts, Norton, Massachusetts. He earned his Ph.D. from the University of Toronto in 1966 with a dissertation title of The Theory of Uniform Polytopes and Honeycombs under the supervision of H....
 in 1966.

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