View source for Parabiaugmented hexagonal prism

{{Short description|55th Johnson solid (14 faces)}}
{{Infobox polyhedron
|image=parabiaugmented_hexagonal_prism.png
|type=[[Johnson solid|Johnson]]<br>{{math|[[augmented hexagonal prism|''J''{{sub|54}}]] – '''''J''{{sub|55}}''' – [[metabiaugmented hexagonal prism|''J''{{sub|56}}]]}}
|faces=2×4 [[triangle]]s <br> 4 [[square (geometry)|square]]s <br> 2 [[hexagon]]s
|edges=26
|vertices=14
|symmetry={{math|''D''{{sub|2h}}}}
|vertex_config={{math|4(4{{sup|2}}.6)<br>2(3{{sup|4}})<br>8(3{{sup|2}}.4.6)}}
|properties=[[convex polytope|convex]]
|net=Johnson solid 55 net.png
}}

In [[geometry]], the '''parabiaugmented hexagonal prism''' is one of the [[Johnson solid]]s ({{math|''J''{{sub|55}}}}). As the name suggests, it can be constructed by doubly augmenting a hexagonal [[prism (geometry)|prism]] by attaching [[square pyramid]]s ({{math|''J''{{sub|1}}}}) to two of its nonadjacent, parallel (opposite) equatorial faces. Attaching the pyramids to nonadjacent, nonparallel equatorial faces yields a [[metabiaugmented hexagonal prism]] ({{math|''J''{{sub|56}}}}). (The solid obtained by attaching pyramids to adjacent equatorial faces is not convex, and thus not a Johnson solid.)

{{Johnson solid}}
[[File:J55 parabiaugmented hexagonal prism.stl|thumb|3D model of a parabiaugmented hexagonal prism]]

== References ==
{{reflist}}

== External links ==
* {{MathWorld2 | urlname2=JohnsonSolid | title2=Johnson Solid| urlname=ParabiaugmentedHexagonalPrism | title= Parabiaugmented hexagonal prism }}

[[Category:Johnson solids]]
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