regular 4-polytopes  ·  stereographic survey

Polytope

Two rotation planes turning at once, sharing only a point — a motion impossible in three dimensions. What you're watching is a genuine four-dimensional solid, cast into the room by stereographic light.

Tesseract

{4,3,3}8-cell · the hypercube

16
vertices
32
edges
24
faces
8
cells

Eight cubes folded around each other through the fourth axis. The small cube inside isn't smaller — it's the same size, farther away in w.