In Geometry, the pentagonal gyrobirotonde lengthened is a Solide of Johnson ( J ₄₃) to 42 faces, 80 edges and 40 tops. As the name indicates it, it can be built by lengthening a pentagonal gyrobirotonde or, more commonly, a Icosidodécaèdre (a Solide of Archimedes) while inserting a prism décagonal between its congruent halves. If one operates a rotation of 36 degrees on one of the pentagonal rotundas ( J ₆) before inserting the prism a pentagonal Orthobirotonde lengthened gives ( J ₄₂).

The 92 solid of Johnson were named and described by Norman Johnson in 1966.

External bond

• solids of Johnson on the site MathWorld