Editing Paragyrate diminished rhombicosidodecahedron

{{Short description|77th Johnson solid}}
{{Infobox polyhedron
|image=paragyrate_diminished_rhombicosidodecahedron.png
|type=[[Johnson solid|Johnson]] <br> {{math|[[diminished rhombicosidodecahedron|''J''{{sub|76}}]] – '''''J''{{sub|77}}''' – [[metagyrate diminished rhombicosidodecahedron|''J''{{sub|78}}]]}}
|faces=3x5 [[triangle]]s <br> 3x5+10 [[square (geometry)|squares]] <br> 1+2x5 [[pentagon]]s <br> 1 [[decagon]]
|edges=105
|vertices=55
|symmetry={{math|''C''{{sub|5v}}}}
|vertex_config={{math|10(4.5.10) <br> 10(3.4{{sup|2}}.5) <br> 3x5+2.10(3.4.5.4)}}
|dual=-
|properties=[[convex polytope|convex]]
|net=Johnson solid 77 net.png
}}

In [[geometry]], the '''paragyrate diminished rhombicosidodecahedron''' is one of the [[Johnson solid]]s ({{math|''J''{{sub|77}}}}). It can be constructed as a [[rhombicosidodecahedron]] with one [[pentagonal cupola]] rotated through 36 [[Degree (angle)|degree]]s, and the opposing pentagonal cupola removed.

{{Johnson solid}}

==External links==
* {{Mathworld2 | urlname2 = JohnsonSolid | title2 = Johnson solid | urlname =ParagyrateDiminishedRhombicosidodecahedron | title = Paragyrate diminished rhombicosidodecahedron}}

[[Category:Johnson solids]]
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