Editing Metabidiminished icosahedron

{{Short description|62nd Johnson solid}}
{{Infobox polyhedron
|image=metabidiminished_icosahedron.png
|type=[[Johnson solid|Johnson]]<br>{{math|[[triaugmented dodecahedron|''J''{{sub|61}}]] – '''''J''{{sub|62}}''' – [[tridiminished icosahedron|''J''{{sub|63}}]]}}
|faces=3x2+4 [[triangle]]s<br>2 [[pentagon]]s
|edges=20
|vertices=10
|symmetry={{math|''C''{{sub|2v}}}}
|vertex_config={{math|2(3.5{{sup|2}})<br>2+4(3{{sup|3}}.5)<br>2(3{{sup|5}})}}
|dual=-
|properties=[[convex polytope|convex]]
|net=Johnson solid 62 net.png
}}

In [[geometry]], the '''metabidiminished icosahedron''' is one of the [[Johnson solid]]s ({{math|''J''{{sub|62}}}}). The name refers to one way of constructing it, by removing two [[pentagonal pyramid]]s ({{math|''J''{{sub|2}}}}) from a [[regular icosahedron]], replacing two sets of five triangular faces of the icosahedron with two adjacent pentagonal faces. If two pentagonal pyramids are removed to form nonadjacent pentagonal faces, the result is instead the [[pentagonal antiprism]].

{{Johnson solid}}
== References ==
{{reflist}}

==External links==
* {{MathWorld2 | urlname=MetabidiminishedIcosahedron | title=Metabidiminished icosahedron| urlname2=JohnsonSolid  | title2=Johnson solid}}

{{Polyhedron-stub}}
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[[Category:Johnson solids]]