In
Geometry , the is one of the
Johnson Solid s (''J''
28). As the name suggests, it can be constructed by joining two
Square Cupola e (''J''
4) along their
Octagon al bases, matching like faces. A 45-degree rotation of one cupola before the joining yields a
Square Gyrobicupola (''J''
29).
The ''square orthobicupola'' is the second in an infinite set of
Orthobicupolae .
The square orthobicupola can be elongated by the insertion of an octagonal
Prism between its two cupolae to yield a
Rhombicuboctahedron , or collapsed by the removal of an irregular
Hexagon al prism to yield an
Elongated Square Dipyramid (''J''
15), which itself is merely an elongated
Octahedron .
The 92 Johnson solids were named and described by
Norman Johnson in
1966 .
