Rotational Symmetries of Platonic Solids

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

A symmetry of a figure moves a copy of the figure to coincide with its original position. Beside the rotations shown here, the other symmetries of the Platonic solids are reflections in various planes through the center. Symmetries are motions and form a group. If and are symmetries, is also a symmetry: move the figure with , then move the new position with . Try to understand how the rotations shown in this Demonstration combine.

Contributed by: George Beck (September 2007)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.