Rhombic Triacontahedron (a=63.435°)  LINK

Expanded Rhombic Triacontahedron (a=63.435°)  LINK

'Snub' Rhombic Triacontahedron (a=62.967°) Take an expanded rhombic triacontahedron, divide each square into two triangles and allow to relax.  Note the rhombi are different to those in the original rhombic triacontahedron. OFF

Rhombi-propello-icosahedron (a=66.140°)  LINK

'Faceted' Rhombic Enneacontahedron (a=53.130°) Take a rhombic enneacontahedron and connect the obtuse vertices of the 'thin' rhombi.  Then allow to relax.  OFF

Rhombified Goldberg Fullerene C80 (a=60.961°).  Take the dual of a geodesic sphere of frequency 2, replace the distorted hexagons with rhombus/triangle complexes and allow to relax. Discovered by Roger Kaufman.  OFF

Rhombified Petrie Expanded Truncated Dodecahedron (a=60.961°).  Take the Petrie expanded truncated dodecahedron, replace the distorted hexagons with rhombus/triangle complexes and allow to relax.  This can also be regarded as an expanded version of Roger Kaufman's Rhombified Goldberg Fullerene C80.  OFF 

Rhombified Face Faceted Truncated Dodecahedron (a=48.471°).  Take a truncated dodecahedron, replace the decagons with complexes of a pentagon surrounded by five triangles and five rhombi.  Relax the model.   OFF 

Rhombic Enneacontahedron (a₁=70.529°, a₂=41.810°) LINK

Rhombified Stellated Snub Rhombic Triacontahedron  (a₁=67.761°, a₂=71.276°):  Take the snub rhombic triacontahedron above and stellate the pentagonal faces.  Relax the model so that the subsequent kite faces become rhombi.  OFF

Faceted Tetra-linear rhombic polyhedron  (a₁=63.783°, a₂=60.390°):  Take the tetra-linear rhombic polyhedron (below) and facet off the pentagonal vertices, leaving pentagons surrounded by triangles.  Relax the model.   OFF

Rhombified Face Faceted Truncated Icosidodecahedron (a₁=73.912°, a₂=60.144°, a₃=48.786°).  Take a truncated icosidodecahedron, replace the hexagons with complexes of three rhombi, the squares with rhombi, and the decagons with complexes of a pentagon surrounded by five triangles and five rhombi.  Relax the model.  OFF

Rhombified Face Faceted Petrie Expanded Truncated Dodecahedron (a₁=73.480°, a₂=60.885°, a₃=49.166°).  Take a rhombified Petrie expanded truncated dodecahedron, replace the decagons with complexes of a pentagon surrounded by five triangles and five rhombi and the squares with rhombi.  Relax the model.  OFF

Rhombified Face Faceted Goldberg Fullerene C140 (a₁=68.789°, a₂=63.435°, a₃=47.870°).  Take a snub dodecahedron, triangulate the pentagonal faces and take the dual.  Replace the hexagons with complexes of three distinct rhombi.   Relax the model.  Note that the pale rhombi in this model are golden rhombi.   OFF

Tetra-linear rhombic polyhedron. (a₁=73.531°, a₂=68.789°, a₃=60.533°).  Following the sequence of the rhombi-propello-icosahedron (with rhombi in lines of 2) and the rhombified stellated snub rhombic triacontahedron (with rhombi in lines of 3) comes the above polyhedron with rhombi in lines of 4.  The hexagonal faces formed by the subdivision of the triangular sections are themselves subdivided into complexes of three rhombi.   OFF