Platonic faces

thingiverse

This model enables the creation of faces for Platonic Solids. With a sufficient number of printed faces, you can assemble them and produce three-dimensional wireframes of each of the five Platonic Solids through 3D printing. The model is comprised of one OpenScad file, and by adjusting two parameters, you can render the necessary faces for each solid. These parameters are the ribCount; set to 3 for tetrahedron, octahedron, and icosahedron, 4 for cube, and 5 for dodecahedron. The other parameter is the dihedral angle, which is half the angle between two adjacent faces. Although this parameter may seem arbitrary, its value in arccos form exhibits a degree of regularity. The OpenSCAD file was created several years ago but draws inspiration from Joe Deken's work at http://newblankets.org. For more information on Platonic Solids, you can refer to the multitude of sources available online or visit https://en.wikipedia.org/wiki/Platonic_solid. Note that in ancient Greece, the dodecahedron was considered a divine shape. Therefore, reproducing it through 3D printing might be seen as sacrilegious.