rhombicosidodecahedro is the 62-faced Archimedean
solid with faces . It is also known as the rhombitruncated
icosidodecahedron, and is sometimes improperly called the truncated icosidodecahedron
(Ball and Coxeter 1987, p. 143; Maeder 1997; Conway et al. 1999), a name
which is inappropriate since truncation would yield
rectangular instead of square.
It is also the uniform polyhedron with Maeder
index 28 (Maeder 1997), Wenninger index 16 (Wenninger 1989), Coxeter index 31 (Coxeter
et al. 1954), and Har'El index 33 (Har'El 1993). It has Schläfli
symbol t and Wythoff symbol .
The great rhombicosidodecahedron constructed by E. K. Herrstrom in origami is illustrated above (Kasahara and Takahama 1987, pp. 46-49). This construction
uses 900 sonobè units, each made from a single sheet of origami paper.