In geometric topology, the Clifford torus is a special kind of torus sitting inside R4. Alternatively, it can be seen as a torus sitting inside C2 since C2 is topologically the same space as R4. Furthermore, every point of the Clifford torus lies at a fixed distance from the origin; therefore, it can also be viewed as sitting inside a 3-sphere.
The Clifford torus is also known as a square torus, because it is isometric to a square with side length 2π and with opposite sides identified.
Read more about Clifford Torus: Formal Definition, Alternate Definitions, Uses in Mathematics
Famous quotes containing the word clifford:
“How many inner resources one needs to tolerate a life of leisure without fatigue”
—Natalie Clifford Barney (18761972)