4D Archimedean Solids

In 3D, there are 5 platonic solids, and 3 symmetry groups amongst them. In 4D, there are 6 platonic solids, and 4 symmetry groups amongst them. In 3D, there are 2 infinite families and 13 exceptional cases of convex uniform irregular polyhedra. In 4D, there are 2 infinite families and 41 exceptional cases of convex uniform irregular polychora. Those 41 can be thought of as the 4D equivalent of the Archimedean solids. This table lists them all. They were rendered by me, and if you click on one it takes you to the polytope wiki page for them. If you hover over them, it gives you a short summary of my subjective thoughts on the shape.

Every image here is 1440x1440, and maximum quality. In total, all of these images are 21.7 MB. They are all free to use, no credit required, but, I would appreciate credit, and if you do use these images in a project, please email or dm me on discord about it! I love polytopes and would be stoked to see someone use my work, and just anything about 4D is very interesting to me. (My email and discord can be found on my links page).

If you've seen the 4D Archimedean solids before, it was probably just one or two, and they were probably rendered poorly. This is not the case here! I put a lot of time into all 41 pictures, trying to find the best angle to make every cell type clearly visible, and the structure visible too. A lot of time was also put into the renderer itself. I tried to make the W axis and Z axis as different as possible, and I hide the back half of polytopes. I hope you enjoy looking through these. I put a lot of effort into this page and the renderer.

A4 - Symmetry of the Pentachoron/5-Cell (8)