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Metabiaugmented truncated dodecahedron
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{{Short description|70th Johnson solid}} {{Infobox polyhedron |image=metabiaugmented_truncated_dodecahedron.png |type=[[Johnson solid|Johnson]]<br>{{math|[[parabiaugmented truncated dodecahedron|''J''{{sub|69}}]] β '''''J''{{sub|70}}''' β [[triaugmented truncated dodecahedron|''J''{{sub|71}}]]}} |faces=5x2+5x4 [[triangle]]s <br> 2+2x4 [[square (geometry)|square]]s <br> 2 [[pentagon]]s <br> 10 [[decagon]]s |edges=120 |vertices=70 |symmetry={{math|''C''{{sub|2v}}}} |vertex_config={{math|4x2+8x4(3.10{{sup|2}})<br>2+2.4(3.4.5.4)<br>5x4(3.4.3.10)}} |dual=- |properties=[[convex polytope|convex]] |net=Johnson solid 70 net.png }} In [[geometry]], the '''metabiaugmented truncated dodecahedron''' is one of the [[Johnson solid]]s ({{math|''J''{{sub|70}}}}). As its name suggests, it is created by attaching two [[pentagonal cupola]]s ({{math|''J''{{sub|5}}}}) onto two nonadjacent, nonparallel [[decagon]]al faces of a [[truncated dodecahedron]]. {{Johnson solid}} ==External links== * {{Mathworld2 | urlname2 = JohnsonSolid | title2 = Johnson solid | urlname =MetabiaugmentedTruncatedDodecahedron| title = Metabiaugmented truncated dodecahedron}} [[Category:Johnson solids]] {{Johnson solids navigator}} {{Polyhedron-stub}}
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