It's a hypertetrahedron! Mathematicians call this a 5-cell because it has 5 points, but I think "hypertetrahedron" sounds cooler.
Visualization options
4D ➔ 3D Projection:
Stereographic
Perspective
Forget Fourth Coordinate
Rotation:
No rotation
4D rotation: zw plane
More 4D shapes:
Hypercube
,
3-torus
Want to know what you're looking at? Read the rest of
How Mathematicians Think about Four Dimensions
, an interactive
Explanarian
!