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- Pentagonal_pyramid abstract "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 (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:Its surface area, A, can be computed as the area of pentagonal base plus five times the area of one triangle:Its volume when an edge length is known can be figured out with this formula:It can be seen as the "lid" of an icosahedron; the rest of the icosahedron forms a gyroelongated pentagonal pyramid, J11, one of the 92 Johnson solids 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.".
- Pentagonal_pyramid thumbnail Pentagonal_pyramid.png?width=300.
- Pentagonal_pyramid wikiPageExternalLink vp.html.
- Pentagonal_pyramid wikiPageExternalLink pentagonal_pyramid_(J2).wrl.
- Pentagonal_pyramid wikiPageID "1128461".
- Pentagonal_pyramid wikiPageRevisionID "595353612".
- Pentagonal_pyramid dual "self".
- Pentagonal_pyramid edges "10".
- Pentagonal_pyramid faces "1".
- Pentagonal_pyramid faces "5".
- Pentagonal_pyramid hasPhotoCollection Pentagonal_pyramid.
- Pentagonal_pyramid net "pentagonal pyramid flat.svg".
- Pentagonal_pyramid properties Convex_set.
- Pentagonal_pyramid rotationGroup "C5, [5]+,".
- Pentagonal_pyramid symmetry "C5v, [5],".
- Pentagonal_pyramid title "Johnson solid".
- Pentagonal_pyramid title "Pentagonal pyramid".
- Pentagonal_pyramid type Johnson_solid.
- Pentagonal_pyramid type "J1 - J2 - J3".
- Pentagonal_pyramid urlname "JohnsonSolid".
- Pentagonal_pyramid urlname "PentagonalPyramid".
- Pentagonal_pyramid vertexConfig "5".
- Pentagonal_pyramid vertices "6".
- Pentagonal_pyramid subject Category:Johnson_solids.
- Pentagonal_pyramid subject Category:Prismatoid_polyhedra.
- Pentagonal_pyramid subject Category:Pyramids_and_bipyramids.
- Pentagonal_pyramid subject Category:Self-dual_polyhedra.
- Pentagonal_pyramid type Abstraction100002137.
- Pentagonal_pyramid type Attribute100024264.
- Pentagonal_pyramid type Polyhedron113883885.
- Pentagonal_pyramid type Pyramid113914837.
- Pentagonal_pyramid type PyramidsAndBipyramids.
- Pentagonal_pyramid type Shape100027807.
- Pentagonal_pyramid type Solid113860793.
- Pentagonal_pyramid comment "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 (J2).".
- Pentagonal_pyramid label "Pentagonal pyramid".
- Pentagonal_pyramid label "Pirámide pentagonal".
- Pentagonal_pyramid label "Pirâmide pentagonal".
- Pentagonal_pyramid label "Pyramide pentagonale".
- Pentagonal_pyramid label "Vijfhoekige piramide".
- Pentagonal_pyramid label "五角錐".
- Pentagonal_pyramid label "正五角錐".
- Pentagonal_pyramid sameAs Pirámide_pentagonal.
- Pentagonal_pyramid sameAs Piramide_pentagonal.
- Pentagonal_pyramid sameAs Pyramide_pentagonale.
- Pentagonal_pyramid sameAs 正五角錐.
- Pentagonal_pyramid sameAs 오각뿔.
- Pentagonal_pyramid sameAs Vijfhoekige_piramide.
- Pentagonal_pyramid sameAs Pirâmide_pentagonal.
- Pentagonal_pyramid sameAs m.048qgt.
- Pentagonal_pyramid sameAs Q1154713.
- Pentagonal_pyramid sameAs Q1154713.
- Pentagonal_pyramid sameAs Pentagonal_pyramid.
- Pentagonal_pyramid wasDerivedFrom Pentagonal_pyramid?oldid=595353612.
- Pentagonal_pyramid depiction Pentagonal_pyramid.png.
- Pentagonal_pyramid isPrimaryTopicOf Pentagonal_pyramid.