Editing Triaugmented dodecahedron (section)

{{Short description|61st Johnson solid}}
{{Infobox polyhedron
|image=triaugmented_dodecahedron.png
|type=[[Johnson solid|Johnson]]<br>{{math|[[metabiaugmented dodecahedron|''J''{{sub|60}}]] – '''''J''{{sub|61}}''' – [[metabidiminished icosahedron|''J''{{sub|62}}]]}}
|faces=3+2×6 [[triangle]]s<br>3×3 [[pentagon]]s
|edges=45
|vertices=23
|symmetry={{math|''C''{{sub|3v}}}}
|vertex_config={{math|2+3(5{{sup|3}})<br>3+2.6(3{{sup|2}}.5{{sup|2}})<br>3(3{{sup|5}})}}
|dual=-
|properties=[[convex polytope|convex]]
|net=Johnson solid 61 net.png
}}

In [[geometry]], the '''triaugmented dodecahedron''' is one of the [[Johnson solid]]s ({{math|''J''{{sub|61}}}}). It can be seen as a [[dodecahedron]] with three [[pentagonal pyramid]]s ({{math|''J''{{sub|2}}}}) attached to nonadjacent faces. When pyramids are attached to a dodecahedron in other ways, they may result in an [[augmented dodecahedron]] ({{math|''J''{{sub|58}}}}), a [[parabiaugmented dodecahedron]] ({{math|''J''{{sub|59}}}}), a [[metabiaugmented dodecahedron]] ({{math|''J''{{sub|60}}}}), or even a [[pentakis dodecahedron]] if the faces are made to be irregular.

{{Johnson solid}}