Göttingen Collection of Mathematical Models and Instruments

Truncated cuboctahedron

Model 477

B II 182


(6+8+12)-plane (2·24)-polygon. Polar figure of the disdyakis dodecahedron.


In 2016 it was noted that the model associated with the number 477 in the case didn't fit the description.

The (6+8+12)-plane polygon with (2·24) vertices is a truncated cuboctahedron and seems to be lost. It is one of 13 Archimedean solids.

The wrongly associated model can now be found with the number 485.


There are 11 Archimedean solids in the collection.

472 Truncated tetrahedron inscribed in a tetrahedron
473 Truncated octahedron inscribed in an octahedron
Cuboctahedron 474 inscribed in an octahedron
485 inscribed in a cube
475 Truncated cube inscribed in an octahedron
476 Rhombicuboctahedron inscribed in a cube
478 Truncated icosahedron inscribed in an icosahedron
479 truncated dodecahedron inscribed in a dodecahedron
Icosidodecahedron 480 inscribed in a dodecahedron
481 inscribed in an icosahedron
482 Rhombicosidodecahedron  
483 Snub dodecahedron  
484 Truncated cube inscribed in a cube

The truncated icosidodecahedron and the lost truncated cuboctahedron are not included in the collection.


The model is lost.


Heesch, H.. Comm.Math.Helv, 6, m=3, Case 2c 2a fig. 6.

Hess, E.(1883). Kugelteilung, Teubner, mit Figuren, §27, fig. 13.