Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Boy's surface
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
=== Model at Oberwolfach === The [[Oberwolfach Research Institute for Mathematics]] has a large model of a Boy's surface outside the entrance, constructed and donated by [[Mercedes-Benz]] in January 1991. This model has 3-fold [[rotational symmetry]] and minimizes the [[Willmore energy]] of the surface. It consists of steel strips representing the image of a [[Polar coordinate system|polar coordinate grid]] under a parameterization given by Robert Bryant and Rob Kusner. The meridians (rays) become ordinary [[Möbius strip]]s, i.e. twisted by 180 degrees. All but one of the strips corresponding to circles of latitude (radial circles around the origin) are untwisted, while the one corresponding to the boundary of the unit circle is a Möbius strip twisted by three times 180 degrees — as is the emblem of the institute {{harv|Mathematisches Forschungsinstitut Oberwolfach|2011}}.
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)