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Icosahedral Rotational Symmetry Types
This Demonstration colors the faces of the small rhombicosidodecahedron to show the subgroups of the icosahedral rotational group. Faces that are (e.g.) blue land on another blue face when one of the group transformations is applied.
Contributed by:
Izidor Hafner
THINGS TO TRY
Rotate and Zoom in 3D
Slider Zoom
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Automatic Animation
SNAPSHOTS
DETAILS
Reference
[1] P. R. Cromwell,
Polyhedra
, New York: Cambridge University Press, 1997 pp. 309–313.
RELATED LINKS
Rotational Symmetries of Platonic Solids
(
Wolfram Demonstrations Project
)
Rotational Symmetries of Colored Platonic Solids
(
Wolfram Demonstrations Project
)
Generating 3D Figures with a Given Symmetry Group
(
Wolfram Demonstrations Project
)
Icosahedral Group
(
Wolfram
MathWorld
)
Polyhedral Group
(
Wolfram
MathWorld
)
PERMANENT CITATION
Izidor Hafner
"
Icosahedral Rotational Symmetry Types
"
http://demonstrations.wolfram.com/IcosahedralRotationalSymmetryTypes/
Wolfram Demonstrations Project
Published: June 3, 2014
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