Rhombicosidodecahedron

The term "rhombicosidodecahedron" is most commonly used (e.g., Wenninger 1989, p. 28; Maeder 1997. Model 27) to refer to the 62-faced Archimedean solid with faces . Cundy and Rowlett (1989, p. 111) refer to that solid as the "(small)" rhombicosidodecahedron, and that convention is followed in this work, where it is termed the small rhombicosidodecahedron.

The inclusion of "small" is particularly appropriate given the common use of the term "great rhombicosidodecahedron" (Cundy and Rowlett 1989, pp. 112-113; this work) to refer to the 62-faced Archimedean solid with faces . Unfortunately, to make matters even more confusing, the terms "truncated icosidodecahedron" (e.g., Meader 1997, Model 28) and "rhombitruncated icosidodecahedron" (Wenninger 1989, Model 16, p. 30) are sometimes also used to refer to the great rhombicosidodecahedron.

More unfortunately still, other authors (e.g., Maeder 1997, Model 67) use the term "great rhombicosidodecahedron" to refer to the quasirhombicosidodecahedron, this despite usage of "great rhombicosidodecahedron" to refer to the distinct (and more common) Archimedean solid.