Spent my break today working on this. That's a render of a 4D hypercube!!!
No shading atm and needs a lot of work to look better as a 3D image, but it's fully functional (as long as you don't rotate anything). The image above is a hypercube a few meters from the camera and a bit to the left. This makes the side face exposed, producing that partial pyramid extrusion on the right of the image. Thought it was a glitch when it first appeared.