View source for Tridiminished rhombicosidodecahedron

{{short description|83rd Johnson solid}}
{{Infobox polyhedron
|image=tridiminished rhombicosidodecahedron.png
|type=[[Johnson solid|Johnson]]<br>{{math|[[Gyrate bidiminished rhombicosidodecahedron|''J''{{sub|82}}]] – '''''J''{{sub|83}}''' – [[Snub disphenoid|''J''{{sub|84}}]]}}
|faces=2+3 [[Triangle|triangle]]s <br> 3×3+6 squares <br> 3×3 [[Pentagon|pentagon]]s <br> 3 [[Decagon|decagon]]s
|edges=75
|vertices=45
|symmetry={{math|''C''{{sub|3v}}}}
|vertex_config={{math|5×6(4.5.10) <br> 3×3+6(3.4.5.4)}}
|dual=-
|properties=[[Convex polytope|Convex]]
|net=Johnson solid 83 net.png
}}

In [[Geometry|geometry]], the '''tridiminished rhombicosidodecahedron''' is one of the [[Johnson solid]]s ({{math|''J''{{sub|83}}}}). It can be constructed as a [[Rhombicosidodecahedron|rhombicosidodecahedron]] with three [[Pentagonal cupola|pentagonal cupola]]e removed.

{{Johnson solid}}

Related Johnson solids are:
* {{math|''J''{{sub|76}}}}: [[Diminished rhombicosidodecahedron|diminished rhombicosidodecahedron]] with one cupola removed,
* {{math|''J''{{sub|80}}}}: [[Parabidiminished rhombicosidodecahedron|parabidiminished rhombicosidodecahedron]] with two opposing cupolae removed, and
* {{math|''J''{{sub|81}}}}: [[Metabidiminished rhombicosidodecahedron|metabidiminished rhombicosidodecahedron]] with two non-opposing cupolae removed.

==External links==
* {{Mathworld2 | urlname2 = JohnsonSolid | title2 = Johnson solid | urlname =TridiminishedRhombicosidodecahedron| title = Tridiminished rhombicosidodecahedron  }}

[[Category:Johnson solids]]
{{Johnson solids navigator}}

{{Sourceattribution|Tridiminished rhombicosidodecahedron}}