Editing Augmented truncated cube (section)

{{Short description|66th Johnson solid}}
{{Infobox polyhedron
|image=augmented_truncated_cube.png
|type=[[Johnson solid|Johnson]]<br>{{math|[[augmented truncated tetrahedron|''J''<sub>65</sub>]] – '''''J''<sub>66</sub>''' – [[biaugmented truncated cube|''J''<sub>67</sub>]]}}
|faces=3x4 [[triangle]]s <br> 1+4 [[square (geometry)|squares]] <br> 1+4 [[octagon]]s
|edges=48
|vertices=28
|symmetry={{math|[[Point groups in three dimensions|''C''<sub>4v</sub>]]}}
|vertex_config={{math|2.4+8(3.8<sup>2</sup>)<br>4(3.4<sup>3</sup>)<br>8(3.4.3.8)}}
|dual=-
|properties=[[Convex polytope|convex]]
|net=Johnson solid 66 net.png
}}

In [[geometry]], the '''augmented truncated cube''' is one of the [[Johnson solid]]s ({{math|''J''<sub>66</sub>}}). As its name suggests, it is created by attaching a [[square cupola]] ({{math|''J''<sub>4</sub>}}) onto one [[octagon]]al face of a [[truncated cube]].

{{Johnson solid}}