Showing posts with label Klein bottle. Show all posts
Showing posts with label Klein bottle. Show all posts

Sunday, January 14, 2007

Bathsheba Grossman - A Twist In Time

A Twist In Time
This snow sculpture was entered in the Breckenridge International Snow Sculpture Championship, 2002. Its genus is that of a Klein bottle with one handle and two holes, so it has one side and two edges.

Wednesday, January 10, 2007

Triple Klein bottle

This is a glass sculpture which consists of three Klein bottles inserted one to each other.

Klein bottle

Klein bottle is one of the strangest surfaces. It has only one side and don't have any boundaries. It was first described in 1882 by German mathematic Felix Klein. The initial name given was "Klein Fla-e-che" (Fläche = Surface). However, this was wrongfully interpreted as Fla-s-che, which ultimately, due to the dominance of the English language in science, led to the adoption of this term in the German language, too.
This object can exist without selfintersections in four dimensional space.