It's a 3-torus, visualized in 4D! What a mess. Isn't it so much simpler to just think about a coordinate chart instead?
Visualization options
4D ➔ 3D Projection:
Stereographic
Perspective
Forget Fourth Coordinate
Rotation:
No rotation
4D rotation: zw plane
More 4D shapes:
3-torus
,
Hypertetrahedron (5-cell)
Want to know what you're looking at? Read the rest of
How Mathematicians Think about Four Dimensions
, an interactive
Explanarian
!