A braid (also referred to as a plait) is a complex structure or pattern formed by interlacing three or more strands of flexible material such as textile yarns, wire, or hair. Compared to the process of weaving which usually involves two separate, perpendicular groups of strands (warp and weft), a braid is usually long and narrow, with each component strand functionally equivalent in zigzagging forward through the overlapping mass of the others.
The most common braid is a flat, solid, three-stranded structure. More complex braids can be constructed from an arbitrary number of strands to create a wider range of structures.
Braids have been made for thousands of years in many different cultures and for a variety of uses. For the nomadic peoples of Africa, India, North and South America, and the Middle East, braiding was a practical means of producing useful and decorative textiles. In other areas, such as the Pacific islands (where leaves and grasses are braided) and for many hill tribes, braids are made using minimal equipment. It was only when braiding became a popular occupation in the home or school, as it is in China and Japan, and when the Industrial Revolution came about, that specific tools were developed to increase production and make it easier to produce more complicated patterns of braids.
Braid is an American emo/post-hardcore band from Champaign, Illinois, formed in 1993.
Following several early line-up changes, the band eventually settled on Bob Nanna on guitar and vocals, Todd Bell on bass, Chris Broach on guitar and vocals, and Roy Ewing on drums until he was replaced in 1997 by new drummer Damon Atkinson.
In 1998 the group released their third album, Frame & Canvas, to critical acclaim and is considered a staple of the late 90's emo movement. Despite Frame & Canvas's success, Braid disbanded in 1999. Nanna, Bell, and Atkinson formed pop-rock band Hey Mercedes, while Broach would dedicate more time to The Firebird Band which was previously a side project.
The band reunited shortly from June to August 2004, before disbanding again. In 2011, Braid reunited permanently, playing their 600th show and releasing a new album, No Coast.
In fall 1993, Bob Nanna was playing drums in a Chicago band called Friction who toured locally and opened for prominent bands like Jawbreaker. As Friction prepared to record their first album, Nanna left for college at the University of Illinois in Urbana-Champaign and was soon looking for another band as a side project. Nanna met drummer Roy Ewing when he placed an ad in Maximumrocknroll, looking for someone to trade live concert tapes with. Ewing played with Nanna's high school friend, guitarist Pete Havranek, and Nanna became their singer and guitarist, with Jay Ryan joining them on bass and Kate Reuss on lead vocals. Nanna suggested the name Braid.
In topology, a branch of mathematics, braid theory is an abstract geometric theory studying the everyday braid concept, and some generalizations. The idea is that braids can be organized into groups, in which the group operation is 'do the first braid on a set of strings, and then follow it with a second on the twisted strings'. Such groups may be described by explicit presentations, as was shown by Emil Artin (1947). For an elementary treatment along these lines, see the article on braid groups. Braid groups may also be given a deeper mathematical interpretation: as the fundamental group of certain configuration spaces.
To explain how to reduce a braid group in the sense of Artin to a fundamental group, we consider a connected manifold X of dimension at least 2. The symmetric product of n copies of X means the quotient of Xn, the n-fold Cartesian product of X with itself, by the permutation action of the symmetric group on n letters operating on the indices of coordinates. That is, an ordered n-tuple is in the same orbit as any other that is a re-ordered version of it.
you can be so cold
and it hurts (me) as much as it hurts him
i guess it's partly my fault
if you had said so
here's my sweater
it makes you look so young
as long as we're together
it's my favorite
it's partly my fault
cause i've done so many things
to make you hate me
you said
it had nothing to do with me
now i wish you'd take it back
i got your letter
it makes you seem so old
since we're not together
please come
home
i still love you
i guess it's unconditional
the carlights are on
the redlights are visible
in the shadow of the door
and again on the floor
sixteen seconds
maybe more