Editing Augmented dodecahedron

{{Short description|58th Johnson solid}}
{{Infobox polyhedron
|image=augmented_dodecahedron.png
|type=[[Johnson solid|Johnson]]<br>{{math|[[triaugmented hexagonal prism|''J''{{sub|57}}]] – '''''J''{{sub|58}}''' – [[parabiaugmented dodecahedron|''J''{{sub|59}}]]}}
|faces=5 [[triangle]]s <br> 11 [[pentagon]]s
|edges=35
|vertices=21
|symmetry={{math|''C''{{sub|5v}}}}
|vertex_config={{math|3.5(5{{sup|3}})<br>5(3{{sup|2}}.5{{sup|2}})<br>1(3{{sup|5}})}}
|dual=-
|properties=[[Convex polytope|convex]]
|net=Johnson solid 58 net.png
}}

In [[geometry]], the '''augmented dodecahedron''' is one of the [[Johnson solid]]s ({{math|''J''{{sub|58}}}}), consisting of a [[dodecahedron]] with a [[pentagonal pyramid]] ({{math|''J''{{sub|2}}}}) attached to one of the faces. When two or three such pyramids are attached, the result may be a [[parabiaugmented dodecahedron]] ({{math|''J''{{sub|59}}}}), a [[metabiaugmented dodecahedron]] ({{math|''J''{{sub|60}}}}), or a [[triaugmented dodecahedron]] ({{math|''J''{{sub|61}}}}).

{{Johnson solid}}

==External links==
* {{MathWorld2 | urlname2=JohnsonSolid | title2=Johnson Solid| urlname=AugmentedDodecahedron  | title=Augmented dodecahedron }}

[[Category:Johnson solids]]

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