Rotating a Hypercube
Rotate a hypercube around any axis in four dimensions, where there are six degrees of freedom; the associated matrices correspond to the special orthogonal group of order 4, SO(4).
Contributed by:
Enrique Zeleny
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Hypercube
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Wolfram
MathWorld
)
Rotation Group
(
Wolfram
MathWorld
)
Projections of the Four-Cube
(
The Wolfram Demonstrations Project
)
Sections of the Four-Cube
(
The Wolfram Demonstrations Project
)
"
Rotating a Hypercube
" from
The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/RotatingAHypercube/
Contributed by:
Enrique Zeleny
3D Graphics
College Mathematics
Group Theory
Higher-Dimensional Geometry
Dirac Matrices in Higher Dimensions
Sections of the Four-Cube
A Function Invariant under a Group of Transformations
Combining Two 3D Rotations
Rotational Symmetries of Platonic Solids
The Group of Rotations of the Cube
Icosahedral Group Polyhedra
Cayley Graphs
Understanding 3D Rotation
Pairwise Axes Rotations in Factor Analysis
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