Rhombicuboctahedron

The term "rhombicuboctahedron" is most commonly used (e.g., Wenninger 1989, p. 27; Maeder 1997) to refer to the 26-faced Archimedean solid with faces . Cundy and Rowlett (1989, p. 105) refer to that solid as the "(small)" rhombicuboctahedron, and that convention is followed in this work, where it is termed the small rhombicuboctahedron.

The inclusion of "small" is particularly appropriate given the common use of the term "great rhombicuboctahedron" (Cundy and Rowlett 1989, p. 106;this work) to refer to the 26-faced Archimedean solid with faces . Unfortunately, to make matters even more confusing, the terms "truncated cuboctahedron" (e.g., Meader 1997) and "rhombitruncated cuboctahedron" (Wenninger 1989, p. 29) are sometimes also used to refer to the great rhombicuboctahedron.

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