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Rotating a Hypercube in 4D

​
hypercube
full
1 hole
3 holes
faces
color
blue
edges only
opacity
0.4
axes
stereographic projection
1
rotations 4D
duration
20
fixedplane
control
angle ofrotation
W-X
0
W-Y
0
W-Z
0
X-Y
0
X-Z
0
Y-Z
0
reset rotations(with animations stopped)
This Demonstration gives a variety of animated rotations of a hypercube in 4D projected to 3D. The axis (set of fixed points) in a 4D rotation is a plane. As a simple example, stop the animation and set all the angles to zero. Drag the first slider; this rotates the hypercube without distortion about the
W
-
X
plane, which we see in 3D as a rotation about the
X
axis.
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