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Augmented truncated tetrahedron
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{{Short description|65th Johnson solid}} {{Infobox polyhedron | image = Augmented truncated tetrahedron.png | type = [[Johnson solid|Johnson]]<br>{{math|[[augmented tridiminished icosahedron|''J''{{sub|64}}]] β '''''J''{{sub|65}}''' β [[augmented truncated cube|''J''{{sub|66}}]]}} | faces = 8 [[triangle]]s <br> 3 [[Square (geometry)|square]]s <br> 3 [[hexagon]]s | edges = 27 | vertices = 15 | symmetry = {{math|[[Point groups in three dimensions|''C''{{sub|3v}}]]}} | vertex_config = {{math|2x3(3.6{{sup|2}})<br>3(3.4.3.4)<br>6(3.4.3.6)}} | properties = [[Convex polytope|convex]] | net = Johnson solid 65 net.png }} [[File:J65 augmented truncated tetrahedron.stl|thumb|3D model of an augmented truncated tetrahedron]] In [[geometry]], the '''augmented truncated tetrahedron''' is a polyhedron constructed by attaching a [[triangular cupola]] onto a [[truncated tetrahedron]]. It is an example of a [[Johnson solid]].
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