Thursday, April 24, 2008

BORROMEAN RINGS

The Borromean rings, also called the Borromean links (Livingston 1993, p. 10) are three mutually interlocked rings (left figure), named after the Italian Renaissance family who used them on their coat of arms. The configuration of rings is also known as a "Ballantine," and a brand of beer (right figure; Falstaff Brewing Corporation) has been brewed under this name. In the Borromean rings, no two rings are linked, so if any one of the rings is cut, all three rings fall apart. Any number of rings can be linked in an analogous manner (Steinhaus 1999, Wells 1991).
The Borromean rings are a prime link. They have link symbol 06-0302, braid word , and are also the simplest Brunnian link.
It turns out that rigid Borromean rings composed of real (finite thickness) tubes cannot be physically constructed using three circular rings of either equal or differing radii. However, they can be made from three congruent elliptical rings.
refer: no two rings are linked, so if any one of the rings is cut, all three rings fall apart
note: the point at which the three rings cross, becomes it's own entity - THE SWEET SPOT.

1 comment:

Anonymous said...

Thanks for writing this.