Satin

The satin is one of the three principal armours of weaving. Thus, the satin term indicates the whole of the Textile S worked out by this type of weaving, that is to say fine and brilliant fabrics on the place and chechmate with back.

It draws its name from the town of Tsia-toung ( Arab Zaytûn in , Citong in Pinyin), current the Quanzhou in the province of the Fujian in the south-east of the China.

Types of satins

  • Corkserews, drapery in armor satin with repetition;
  • Crepe of satin, packs with a surface with nonsmooth grain;
  • Damask, satin armor with square reasons or representing flowers;
  • Duvetyn, fabric flexible and woolly on a face;
  • Moleskine, fabric of Cotton with a side satin and a twill side ;
  • Satin duchess, heavy and thick fabric;
  • Liberty Satin, fabric scraped on back;
  • Glossed, satin where one increased the number of points of tying;
  • Satinet, cotton fabric resembling satin.

Clothes industry

The fabrics with rectilinear texture can be represented by means of squared drawings, where the weft threads are represented longitudinally and the wire of chain transversely. The duite is the name given to the passages of the screen through the chain. The drawing of regular fabrics reproduces with identical by translations parallel with the axes appearing these two wire and it is enough to represent the drawing basic on a chess-board, in general square, of minimal size: these square drawings bear the name of armours; their dimension p is the module of the armor. On an armor the points of tying are illustrated corresponding to the points of fabric where the successive lifting of the wire of chain takes place, with each insertion of duite (in its articles of 1867, Edouard Ghent details four basic weave constructions with rectilinear wire which are the Toile - or cloth -, the twill , the batavia, and satin). The square chess-board associated with an armor comprises a certain number of ombrées boxes corresponding to the points of tying, the wire of chain being represented by the columns, those of screen by the lines of the chess-board.

Regular satin constitutes the richest fabric from the arithmetic point of view. According to Lucas, its construction obeys in the following conditions:
The general problem of the construction of the armor of regular satin amounts placing in the boxes of the square chess-board of p ² boxes, p pawns such as two of them are not in the same horizontal or vertical line, and so that, compared to any of these pawns (by supposing the chess-board indefinitely repeated in all the directions), the other pawns are always placed in the same way. 1867, p. 3.

To facilitate the mechanical reproduction of the drawing of armor and to ensure esthetics of it, the points of tying must be thus regularly laid out according to plane networks, invariants by the translations defined starting from two unspecified points of the network. Moreover, the armor of satin should not present repetitions in its lines, nor in its columns.

The conditions of realization of a regular satin are satisfied by the choice with a number called décochement, the lower than the module p and first with him, which allows the construction of two continuations:

  • the continuation of the indices of column X = 0,1,2,3,…, K,…, p-1.
  • the continuation of the indices of line there = 0, has, 2a, 3a,…, ka,…, (p-1) has, these last numbers being calculated modulo p, therefore in Zp.

A theorem of arithmetic 1801, p. 10 guarantees that remainders (MOD. p) of the numbers there thus obtained constitute a permutation of the numbers {0, 1,2,…, p-1}.

The points of tying are illustrated inside the square built on the entireties modulo p, that is to say in Zpx Zp, with the intersection of the column X = K and the line there = ka (MOD. p). Thus the realization of the armor of the satin of module 11 and décochement 4 conduit to the diagram considering above, where the points of tying are shades. Décochement the 4 corresponds to the ordinate of the point of tying located in column 1.

The properties of a satin depend on the provision of its points of tyings. A handbook of weaving describes in these terms qualities of satins according to the length of floated (loose wire) separating tyings:
“The armor satin gives a flat fabric, plain and shining In theory, plus a satin the will have floated long ones, more it will be brilliant, with the detriment of the solidity of fabric, and, conversely, more tyings will be brought closer and the floated short ones, more satin will be chechmate and solid. ” 1928, p. 340.

Homonymy

The Noces of satin correspond to the 24è Wedding anniversary.

Satin is also a race of Lapin domesticates

References

  • Armor of Satin , article " Satin" Encyclopedia of Diderot and D' Alembert , See volume 14 page 686.

See too

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