This post presents a multicoloured magnetic building set for the stellations of the Cuboctahedron.

Cuboctahedron

As the Cuboctahedron is an Archimedean solid, determining the stellations involve two stellation diagrams, in this case resulting in twelve stellations. All are fully supported and reflexible. The first two stellations are both platonic solids:

Cube as stellation of the Cuboctahedron
Octahedron as stellation of the Cuboctahedron

Therefore, one usually considers the actual third stellation, the compound of a cube and an octahedron, as the first stellation.

First Stellation

I enumerated the remaining stellations as they are sequentially shown by Robert Webb’s Stella software:

Second Stellation
Third Stellation
Fourth Stellation
Fifth Stellation
Sixth Stellation (Stella Octangula)
Seventh Stellation
Eight Stellation
Ninth Stellation
Final Stellation

Constructing models for all stellations requires seven types of building blocks, if one does not considers face-colouring. In my implementation, all parallel faces share a unique colour, resulting in seven different colours. By this, nearly all coloured blocks are unique. The OpenSCAD designs for the kernel, type 1 blocks, type 2 blocks, type 3 blocks, type 4 blocks, type 5 blocks, type 6 blocks and type 7 blocks are ready to be sliced and 3D printed. Once all the magnets are put in place, all stellations can be built, for instance by following:

Building Instructions