Colored Klein Bottle

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 visualization shows an immersion of a Klein bottle into , a closed nonorientable surface. It can be created by joining both pairs of opposing ends of a rectangle after giving one pair a half-twist. It can be embedded in four-dimensional space without self-intersection.

Contributed by: Igor C. Antonio (March 2011)
Based on a program by: Eric W. Weisstein
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.