Editing Triangular orthobicupola (section)

{{Short description|27th Johnson solid; 2 triangular cupolae joined base-to-base}}
{{Infobox polyhedron
|image=triangular_orthobicupola.png
|type=[[Johnson solid|Johnson]]<br>{{math|[[gyrobifastigium|''J''{{sub|26}}]] – '''''J''{{sub|27}}''' – [[square orthobicupola|''J''{{sub|28}}]]}}
|faces=2+6 [[triangle]]s<br>6 [[Square (geometry)|square]]s
|edges=24
|vertices=12
|symmetry={{math|D{{sub|3h}}}}
|vertex_config={{math|6(3{{sup|2}}.4{{sup|2}})<br>6(3.4.3.4)}}
|dual=[[Trapezo-rhombic dodecahedron]]
|properties=[[convex polytope|convex]]
|net=Johnson solid 27 net.png
}}

In [[geometry]], the '''triangular orthobicupola''' is one of the [[Johnson solid]]s ({{math|''J''{{sub|27}}}}). As the name suggests, it can be constructed by attaching two [[triangular cupola]]s ({{math|''J''{{sub|3}}}}) along their bases. It has an equal number of squares and triangles at each vertex; however, it is not [[vertex-transitive]]. It is also called an ''anticuboctahedron'', ''twisted cuboctahedron'' or ''disheptahedron''. It is also a [[Midsphere#Canonical polyhedron|canonical polyhedron]].

{{Johnson solid}}

The ''triangular orthobicupola'' is the first in an infinite set of [[Bicupola (geometry)|orthobicupolae]].