braid

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braid

[brād]
(mathematics)
A braid of order n consists of two parallel lines, sets of n points on each of the lines with a one-to-one correspondence between them, and n nonintersecting space curves, each of which connects one of the n points on one of the parallel lines with the corresponding point on the other; the space curves are configured so that no curve turns back on itself, in the sense that its projection on the plane of the parallel lines lies between the parallel lines and intersects any line parallel to them no more than once, and any two such projections intersect at most a finite number of times.
References in classic literature ?
"Yes, indeed; come into my shop, please," and the braided man turned and led the way into a smaller cave, where he evidently lived.
"I do not want money," returned the braided man, "for I could not spend it in this deserted place if I had it.
On the same day that she cast out Rapunzel, however, the enchantress fastened the braids of hair, which she had cut off, to the hook of the window, and when the king's son came and cried:
Rapunzel had magnificent long hair, fine as spun gold, and when she heard the voice of the enchantress she unfastened her braided tresses, wound them round one of the hooks of the window above, and then the hair fell twenty ells down, and the enchantress climbed up by it.
The girl let the braid drop back with a sigh that seemed to come from her very toes and to exhale forth all the sorrows of the ages.
"I'm sure she will be greatly pleased," said Dorothy, who remembered the Braided Man well; and the Wizard introduced the guest to the rest of the company and made him sit down in a chair and keep quiet, for, if allowed, he would talk continually about his flutters.
A long black braid of hair swung with the motion of the coach; the child held her hat in one hand and with the other made ineffectual attempts to stab the driver with her microscopic sunshade.
From the little standing ruffle at the neck the child's slender throat rose very brown and thin, and the head looked small to bear the weight of dark hair that hung in a thick braid to her waist.
Long strings of young horses out of the country, fresh from the marshes; and droves of shaggy little Welsh ponies, no higher than Merrylegs; and hundreds of cart horses of all sorts, some of them with their long tails braided up and tied with scarlet cord; and a good many like myself, handsome and high-bred, but fallen into the middle class, through some accident or blemish, unsoundness of wind, or some other complaint.
His blue double-breasted coat, edged with black braid, buttoned close to a red puff tie, and his patent-leather shoes looked like murder-fitted weapons.
It was very tough to cut: they braid silk into their pigtails.
Strongly attached to the same beam was what appeared to be an end of a rope of braided horsehair, which had been cut by the bullet in its passage to the knot.