A 5‑cell (also known as a regular 4‑simplex or pentachoron) is the simplest regular polytope in four dimensions. It has five tetrahedral cells, ten triangular faces, ten edges and five vertices. To visualize such a creature in our three‑dimensional world, we can intersect it with a hyperplane defined by a constant fourth coordinate (w). The resulting intersection is a 3D polyhedron whose shape varies as we rotate the 5‑cell in 4D and slide the slicing plane. This tool lets you explore those cross‑sections interactively.