The 17-Klein Bottle – Numberphile

From Numberphile.

17 Klein Bottles become 1 – featuring Cliff Stoll and the glasswork of Lucas Clarke.
More links & stuff in full description below ↓↓↓

More Cliff videos:

More Klein Bottle videos:

Buy glassware from Cliff (if you dare):

CORRECTION (message via Cliff): At 43 seconds (recycling symbol) I goofed here. That’s a single-half-twist. I’m properly one-sidedly chagrined.

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI):

We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science.

And support from Math For America –

Numberphile on Facebook:
Numberphile tweets:

Videos by Brady Haran
Animation by Pete McPartlan


Numberphile T-Shirts and Merch:

Brady’s videos subreddit:

Brady’s latest videos across all channels:

Sign up for (occasional) emails: