WOLFRAM|DEMONSTRATIONS PROJECT

Stereographic Projection of a 4D Clifford Torus

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opacity
0.7
hue
0.52
view angle
16
angular ranges
horiz min
0
horiz max
2π
vert min
0
vert max
2π
rotations 4D
duration
30
plane
control
angle
W-X
0
W-Y
0
W-Z
0
X-Y
0
X-Z
0
Y-Z
0
reset rotations(with animations stopped)
The Demonstration rotates the stereographic projection of a 4D Clifford torus (or square torus), defined by the points
(rcos(h),rsin(h),rcos(v),rsin(v))
. Every point on this hypersurface is at the same distance from the origin.