Rotating a Hypercube in Four Dimensions with Eight Spaced Cubes

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

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

This Demonstration gives a variety of animated rotations of a hypercube in four dimensions with eight spaced cubes projected onto three dimensions. An axis (set of fixed points) of a four-dimensional rotation is a plane. As a simple example, stop the animation and set all the angles to zero. Drag the first slider; this rotates the hypercube without distortion about the - plane, which in three dimensions represents a rotation about the axis.

Contributed by: Gerard Balmens (December 2017)
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