4D Rotations of a Klein Bottle
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration lets you manipulate a four-dimensional immersion of the Klein bottle while viewing a straight orthogonal projection of the surface from into . Unlike immersions in , this parameterization uses the extra dimension to avoid self-intersection. Although the 4D immersion has no self-intersections, projecting into 3D space makes it appear as if there were.
Contributed by: Richard Hennigan (September 2013)
Open content licensed under CC BY-NC-SA
Snapshots
Details
detailSectionParagraphPermanent Citation
"4D Rotations of a Klein Bottle"
http://demonstrations.wolfram.com/4DRotationsOfAKleinBottle/
Wolfram Demonstrations Project
Published: September 6 2013