# Rotational Symmetries of Platonic Solids

Requires a Wolfram Notebook System

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

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

## Snapshots

## Details

detailSectionParagraph## Permanent Citation

"Rotational Symmetries of Platonic Solids"

http://demonstrations.wolfram.com/RotationalSymmetriesOfPlatonicSolids/

Wolfram Demonstrations Project

Published: September 28 2007