Английская Википедия:Gyroelongated pentagonal pyramid

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Шаблон:Short description Шаблон:Infobox polyhedron

In geometry, the gyroelongated pentagonal pyramid is one of the Johnson solids (Шаблон:Math). 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.

Шаблон:Johnson solid

It can also be seen as a diminished icosahedron, an icosahedron with the top (a pentagonal pyramid, Шаблон:Math) chopped off by a plane. Other Johnson solids can be formed by cutting off multiple pentagonal pyramids from an icosahedron: the pentagonal antiprism and metabidiminished icosahedron (two pyramids removed), and the tridiminished icosahedron (three pyramids removed).

Dual polyhedron

The dual of the gyroelongated pentagonal pyramid has 11 faces: 5 kites, 1 regular pentagonal and 5 irregular pentagons.

Dual gyroelongated pentagonal pyramid Net of dual
Файл:Dual gyroelongated pentagonal pyramid.png Файл:Dual gyroelongated pentagonal pyramid net.png

External links

Шаблон:Johnson solids navigator


Шаблон:Polyhedron-stub