About: Pentagonal pyramid

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An Entity of Type : dbkwik:resource/NFb8hEdf4aO8B5_L5xml2w==, within Data Space : 134.155.108.49:8890 associated with source dataset(s)

A pentagonal pyramid is a three-dimension polyhedron created by taking the pyramid of a pentagon. This makes it the segmentope between a pentagon and a point.

Attributes	Values
rdf:type	Polyhedron with net Shapes
rdfs:label	Pentagonal pyramid
rdfs:comment	A pentagonal pyramid is a three-dimension polyhedron created by taking the pyramid of a pentagon. This makes it the segmentope between a pentagon and a point. 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 (J2). Its height H, from the midpoint of the pentagonal face to the apex, (as a function of a, where a is the side length), can be computed as: , while its surface area, A, can be computed as: It can be seen as the "lid" of an icosahedron; the rest of the icosahedron forms a gyroelongated pentagonal pyramid, J11. The 92 Johnson solids were named and described by Norman Johnson in 1966. The volume of a pentagonal pyramid is:
sameAs	dbr:Pentagonal_pyramid
dcterms:subject	Shape 3 dimensional dbkwik:resource/EbcRAktgtpeSa6vDpZ1kXw== Pyramids and bipyramids Self-dual polyhedra Prismatoid polyhedra Johnson solids
cells	1(xsd:integer)
dimensionality	3(xsd:integer)
dbkwik:math/proper...iPageUsesTemplate	dbkwik:resource/YfLsspG27AxFbtVJiZln8Q== dbkwik:resource/T4b6Gs8kFN5Pbc5f12Ij_Q== dbkwik:resource/LxRYDljMknIjpt2sXhyelA==
faces	5(xsd:integer)
urlname	JohnsonSolid PentagonalPyramid
dual	self
Symmetry Group	C5v
Vertex List	5(xsd:integer)
Net Image File	pentagonal pyramid flat.svg
dbkwik:verse-and-d...iPageUsesTemplate	dbkwik:resource/5CeLLOJbsTI1SGZxiKlfRA==
Vertex Count	6(xsd:integer)
Vertices	6(xsd:integer)
Polyhedron Type	Johnson solid J1 - J2 - J3
Title	Johnson solid Pentagonal pyramid
edges	10(xsd:integer)
Image	Pentagonal pyramid.png
Edge Count	10(xsd:integer)
Image File	Pentagonal pyramid.png
Face List	1(xsd:integer) 5(xsd:integer)
Property List	dbkwik:resource/IvhQjZNsKK2OZNmbf8AVyg==
abstract	A pentagonal pyramid is a three-dimension polyhedron created by taking the pyramid of a pentagon. This makes it the segmentope between a pentagon and a point. 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 (J2). Its height H, from the midpoint of the pentagonal face to the apex, (as a function of a, where a is the side length), can be computed as: , while its surface area, A, can be computed as: It can be seen as the "lid" of an icosahedron; the rest of the icosahedron forms a gyroelongated pentagonal pyramid, J11. The 92 Johnson solids were named and described by Norman Johnson in 1966. More generally an order-2 vertex-uniform pentagonal pyramid can be defined with a regular pentagonal base and 5 isosceles triangle sides of any height. The volume of a pentagonal pyramid is:

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