Ancient Greeks knew about them; the Platonic Solids are fascinating. You can read all about them here:  https://en.wikipedia.org/wiki/Platonic_solid

These 5 models are hyperbolic shapes of the Platonic Solids. The solid shapes are here. The stick and ball shapes are here. A chart explaining the Platonic Solids is here.

To print use the *.3mf files or:

1. scale 2000%
2. rotate to print on a face, edge, or vertex
3. use paint on supports

The OpenSCAD source file is included.