Augmented triangular prism: Difference between revisions

Revision as of 01:33, 22 December 2007

Revision as of 18:06, 29 June 2008

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{{Infobox Polyhedron with net|

Image_File=augmented triangular prism.png |

Polyhedron_Type=[[Johnson solid|Johnson]]<br>[[gyroelongated pentagonal birotunda|J₄₈]] - '''J₄₉''' - [[biaugmented triangular prism|J₅₀]]|

Face_List=3.23x2 [[triangle]]s<br>2 [[Square (geometry)|square]]s|

Edge_Count=13 |

Vertex_Count=7 |

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Vertex_List=2(3.4²)<br>1(3⁴)<br>4(3³.4)|

Dual=-|

Property_List=[[Convex set|convex]]}}|

Net_Image_File=Johnson solid 49 net.png

}}

In [[geometry]], the '''augmented triangular prism''' is one of the [[Johnson solid]]s (''J''₄₉). As the name suggests, it can be constructed by augmenting a triangular [[prism (geometry)|prism]] by attaching a [[square pyramid]] (''J''₁) to one of its equatorial faces. The resulting solid bears a superficial resemblance to the [[gyrobifastigium]] (''J''₂₆), the difference being that the latter is constructed by attaching a second triangular prism, rather than a square pyramid.

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==External links==

* {{MathWorld | urlname=JohnsonSolid | title=Johnson Solid}}

*[http://mathworld.wolfram.com/JohnsonSolid.html Johnson Solid -- from MathWorld]

** {{MathWorld | urlname=AugmentedTriangularPrism | title=Augmented triangular prism }}

[[Category:Johnson solids]]