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Augmented hexagonal prism
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{{Short description|54th Johnson solid}} {{Infobox polyhedron | image = augmented_hexagonal_prism.png | type = [[Johnson solid|Johnson]]<br>{{math|[[biaugmented pentagonal prism|''J''{{sub|53}}]] β '''''J''{{sub|54}}''' β [[parabiaugmented hexagonal prism|''J''{{sub|55}}]]}} | faces = 4 [[triangle]]s<br>5 [[square (geometry)|square]]s<br>2 [[hexagon]]s | edges = 22 | vertices = 13 | symmetry = {{math|''C''{{sub|2v}}}} |vertex_config = {{math|2x4(4{{sup|2}}.6)<br>1(3{{sup|4}})<br>4(3{{sup|2}}.4.6)}} | dual = monolaterotruncated hexagonal bipyramid | properties = [[Convex polytope|convex]] | net = Johnson solid 54 net.png }} In [[geometry]], the '''augmented hexagonal prism''' is one of the [[Johnson solid]]s ({{math|''J''{{sub|54}}}}). As the name suggests, it can be constructed by augmenting a hexagonal [[prism (geometry)|prism]] by attaching a [[square pyramid]] ({{math|''J''{{sub|1}}}}) to one of its equatorial faces. When two or three such pyramids are attached, the result may be a [[parabiaugmented hexagonal prism]] ({{math|''J''{{sub|55}}}}), a [[metabiaugmented hexagonal prism]] ({{math|''J''{{sub|56}}}}), or a [[triaugmented hexagonal prism]] ({{math|''J''{{sub|57}}}}).
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