You're reading: Main, Videos

Video: A Klein Slinky

This is an old video I made showing how to make a Slinky look like a Klein bottle. It’s the easiest way of making a Klein bottle that I know of!

[vimeo url=]

A Klein bottle is a non-orientable closed 2D manifold. That means that it’s a 2D surface, with no edges, on which you can’t define a consistent sense of direction. ┬áThis is most clearly demonstrated by the fact that the closed shape doesn’t have an “inside” and an “outside” – you can trace a line along the surface from what looks like the inside to what looks like the outside.

A real Klein bottle can’t exist in 3d space because it would have to intersect itself. By imagining a smooth surface stretched over a Slinky, we can more easily get a sense of what a Klein bottle looks like.

Original idea thanks to Edmund Harris (

Leave a Reply

  • (will not be published)

$\LaTeX$: You can use LaTeX in your comments. e.g. $ e^{\pi i} $ for inline maths; \[ e^{\pi i} \] for display-mode (on its own line) maths.

XHTML: You can use these tags: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>