View source for Biaugmented truncated cube

{{Short description|67th Johnson solid}}
{{Infobox polyhedron
|image=biaugmented_truncated_cube.png
|type=[[Johnson solid|Johnson]]<br>{{math|[[augmented truncated cube|''J''<sub>66</sub>]] – '''''J''<sub>67</sub>''' – [[augmented truncated dodecahedron|''J''<sub>68</sub>]]}}
|faces=2x8 [[equilateral triangle|triangles]] <br> 2+8 [[Square (geometry)|squares]] <br> 4 [[octagon]]s
|edges=60
|vertices=32
|symmetry={{math|[[Point groups in three dimensions|''D''<sub>4h</sub>]]}}
|vertex_config={{math|8(3.8<sup>2</sup>)<br>8(3.4<sup>3</sup>)<br>16(3.4.3.8)}}
|dual=-
|properties=[[Convex polytope|convex]]
|net=Johnson solid 67 net.png
}}

In [[geometry]], the '''biaugmented truncated cube''' is one of the [[Johnson solid]]s ({{math|''J''<sub>67</sub>}}).  As its name suggests, it is created by attaching two [[square cupola]]s ({{math|''J''<sub>4</sub>}}) onto two parallel [[octagon]]al faces of a [[truncated cube]].

{{Johnson solid}}

==External links==
* {{Mathworld2 | urlname2 = JohnsonSolid | title2 = Johnson solid | urlname =BiaugmentedTruncatedCube| title =  Biaugmented truncated cube}}

[[Category:Johnson solids]]

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