All the regular 4-dimensional polyhedra, projected into 3-space for your convenience.
September 28, 2026 – I've decided to stop selling prints and instead share the files. At this writing I still have some nylon pieces available, and I'll try to keep stock status up to date.
I've used SLS nylon to print these, which is a powder sintering process that gives excellent freedom of geometry. I can't imagine most of them on an FDM printer, though feel free to surprise me. I'm not aware of a metal process that can print these well, and if you find one I'd love to hear about it.
Where to order prints? So many options, but here are some places I've seen good results. Craftcloud connects to many service bureaus worldwide, and offers a huge set of materials. It also exposes supplier names, so if you find one you like you can go to them directly. Materialise does the world's best nylon prints, especially useful if you're in Europe. And I'll be putting these up at Thangs, which does perfectly good prints and is the simplest option.
120-Cell
The dodecahedron is well known as the most noble of all Platonic solids, and this projection of its 4D analogue packs in 120 of them, from the outer hull to the tiny central cell. What a deal!
Add to Cart $282½” diameter
24-Cell
The only 4D regular solid without an analog among the five 3D Platonics, this is clearly in the neighborhood of the cube and octahedron, but not quite like either: a thing unto itself.
In my experience this prints well in SLS nylon.
2½” diameter
Hypercube A
The tesseract, showing 8 cubic faces in its most familiar style. This is a cell-first projection, which in 3D is like a cube drawn with one side squarely facing you. Here in 4D the "front" and "back" are regular cubes, without off angles caused by perspective.
Add to Cart $222½” diameter
Hypercube B
A vertex-first projection of the same tesseract, in 3D this is like a cube drawn with a corner facing you, so all its faces are shown in perspective. In this style the hull forms a rhombic dodecahedron, I think it's pretty.
Add to Cart $222½” diameter
16-Cell
The 4D style octahedron with 16 tetrahedral faces, dual to the hypercube. In its native dimension all the tetrahedra are regular, here all but two are skewed by the perspective projection into 3-space.
Add to Cart $202½” diameter
Simplex
With just 4 cells, the 4D tetrahedron.
Add to Cart $162½” diameter
600-cell
Lastly the 4D icosahedron: 600 tetrahedral cells with five meeting along each edge, just as in 3D five triangles meet at each vertex.
This isn't very easy to print, I've had a few good prints in SLS nylon and many broken ones. Maybe resin would work better? I thickened the outer struts but I still see some breakage, honestly I think 2 ½” is just too small and it needs to be scaled 1.5x or so. Good luck, and if you get a good result I'd love to see what worked!
2½” diameter