11087
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
Gamepad Controls
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Octahedral Rotational Symmetry Types
Izidor Hafner
Cubic Symmetry Types
Izidor Hafner
Polyhedra with Prismatic Symmetry
Izidor Hafner
Dehn Invariant of Some Disjoint Unions of Polyhedra with Octahedral Symmetry
Izidor Hafner
Symmetries of a Prism
Izidor Hafner
Rotational Symmetries of Colored Platonic Solids
Marc Brodie
Constructing Polyhedra Using the Icosahedral Group
Izidor Hafner
Mirror Symmetries of the Cube
Aaron Wallace
Snub Tetrahedron
Izidor Hafner
Rotating Cubes about Axes of Symmetry; 3D Rotation Is Non-Abelian
Roger Beresford
Related Topics
Group Theory
Polyhedra
Solid Geometry
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+