Mirror Symmetries of the Cube

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.

Use the slider to show the nine planes of symmetry (or mirror planes) for the cube. If the center of the cube is the origin and the , , and axes are normal to opposite pairs of faces, the planes have equations , , , , , and . With all nine cuts, each of the six faces of the cube is cut into eight triangles. For each such triangle, join its three vertices to the center of the cube to form a tetrahedron. These 48 tetrahedra partition the cube. (Reduce the opacity to see their interiors.)

Contributed by: Aaron Wallace (November 2015)
Open content licensed under CC BY-NC-SA


Snapshots


Details

detailSectionParagraph


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.
Send