Platonic, Archimedean and Catalan Solids

This is all of the Platonic, Archimedean, and Catalan solids.

There are 5 platonic solids: The tetrahedron, octahedron, cube, dodecahedron, and icosahedron.

These are the only convex solids that can be made in 3D where all faces are the same regular polygon.

There are 13 Archimedian solids: The truncated tetrahedron, cuboctahedron, truncated cube, truncated octahedron, rhombicuboctahedron, truncated cuboctahedron, snub cube, icosidodecahedron, truncated dodecahedron, truncated icosahedron, rhombicosidodecahedron, truncated icosidodecahedron, and snub dodecahedron.

These are the only convex solids that can be made with faces that are regular polygons and whose vertices are all the same shape (other than the Platonic solids, prisms, and antiprisms).

There are 13 Catalan solids: The triakis tetrahedron, rhombic dodecahedron, triakis octahedron, tetrakis hexahedron, deltoidal icositetrahedron, disdyakis dodecahedron, pentagonal icositetrahedron, rhombic triacontahedron, triakis icosahedron, pentakis dodecahedron, deltoidal hexecontahedron, disdyakis triacontahedron, pentagonal hexecontahedron.

These are the duals of the Archimedean solids. They are the only convex solids where all of the faces are the same shape, and all of the dihedral angles (angle formed between two faces at an edge) are the same (other than the Platonic solids, bipyramids, and trapezohedra).
 

No home is complete without a full set!

Printing tips:

These are mostly not very hard to print, although if one of them detaches during a print it can ruin the whole batch. You may want to print smaller batches to hedge against this. A few of them have such small bottom faces that brims seem to be necessary. Should not need support.

These models are mathematically precise, up to the limits of STL/3MF. They come from my Rupert project: http://tom7.org/ruperts/