The Dual of the Johnson 'elongated pentagonal pyramid' which has
one pentagon base surrounded by 5 square walls with a pentagonal pyramid roof
The Dual of the Johnson 'pentagonal orthobirotunda' which has 12 pentagons
and 20 triangles; it is like the Archimedean icosidodecahedron but has the
two hemispheres twisted by 36 degrees. This makes the dual much like the
rhombic triacontahedron.
The Dual of the Johnson 'augmented truncated dodecahedron' which has 11
decagons, one pentagon, 4 squares and 25 triangles. It is an ordinary
truncated dodecahedron with one decagonal face replaced with a pentagon
surrounded by squares and triangles.
The Dual of the Johnson 'parabidiminished rhombicosidodecahedron' which is
like a normal rhombicosidodecahedron but with two opposite pentagonal
cupolas replaced with plain decagons.