Octahedral Rotational Symmetry Types

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subgroup:
O
T
D
4
C
4
D
2
C
3
C
2
D
3
solid/net
reset colors
show axis
axes
1
2
3
rotate
0
This Demonstration colors the faces of the small rhombicosidodecahedron to show the subgroups of the octahedral rotational group. Faces that are e.g. blue land on another blue face when one of the group transformations is applied.

References

[1] P. R. Cromwell, Polyhedra, New York: Cambridge University Press, 1997 pp. 309–313.

External Links

Rotational Symmetries of Platonic Solids
Rotational Symmetries of Colored Platonic Solids
Generating 3D Figures with a Given Symmetry Group
Polyhedral Group (Wolfram MathWorld)

Permanent Citation

Izidor Hafner
​
​"Octahedral Rotational Symmetry Types"​
​http://demonstrations.wolfram.com/OctahedralRotationalSymmetryTypes/​
​Wolfram Demonstrations Project​
​Published: January 1, 1999