What is the meaning of 2/2 in 2/2 twill and 3/1 twill, what does 3/1 mean?

"2/2 twill and 3/1 twill" are woven fabrics. In the weaving process, the warp threads are lifted and lowered according to a certain rule, and the weft threads continue to shuttle during this lifting process. When the warp is raised to the tissue point above the weft, it is called the tissue point; otherwise, the tissue point above the warp is called the weft point. The ups and downs of the latitude and longitude tissue points not only have a certain regularity, but also repeat every certain number of warp and weft lines. The minimum number of wires required for each repetition is called a “tissue cycle” or a “complete cycle”. The larger the fabric tissue cycle, the larger the pattern cycle and the more complicated the pattern. The number of warp roots in an organization loop is called the number of warp loops, and the number of weft threads in an organization loop is called the number of weft loops. For example, the number of warp and weft cycles of plain weave is 2, the number of warp and weft cycles of three twill weaves is 3, and the number of warp and weft cycles of five satin weaves is 5. In order to facilitate the visual representation of the warp and weft interlacing in the fabric, it can be represented by three kinds of figures: organization chart, structure chart and section view. The organization chart can be drawn on small squared paper, with the longitudinal lines on the squared paper representing the warp and the horizontally representing the weft. For the convenience of memory, the tissue points are represented by black or symbols on the graph paper, and the weft tissue points are indicated by blank squares. The numbers from left to right in the figure indicate the latitude and longitude sequence; the bottom-up numbers indicate the latitude and order. In a tissue cycle, when the latitude and longitude tissue points are equal, it is called the same surface structure, and the fabric has no front and back. If the organization points are more than the latitude tissue points, it is called the meridional structure, and vice versa, it is called the weft surface structure, and their front and back sides are each a latitude and longitude effect. That is to say, the front side of the fabric exhibits a warp surface effect, and the reverse side exhibits a weft surface effect; the front side of the fabric exhibits a weft surface effect, and the reverse side exhibits a warp surface effect. All of the above refer to a single layer of fabric, that is, a simple fabric in which a warp and a weft are interwoven. The tissue points of the twill weave organization are continuous and diagonally textured. There are three latitude and longitude lines in a complete organization, which can be expressed in the form of fractions. Such as 1/2 ↗ right twill, can be read as a top two right right twill or three right twill. Among them, the numerator represents the number of organized points of a warp or weft in a complete tissue, and the denominator represents the number of latitude and longitude points of a warp or weft in a complete tissue. The sum of the numerator and the denominator represents the number of latitude and longitude lines of a complete organization, referred to as the number of pieces. ↗ indicates that the grain is diagonally right, and ↖ indicates that the grain is diagonally left. The warp and weft interlacing of the twill weave is less than that of the plain weave, so the plain weave fabric is not strong, but the twill fabric is soft and smooth.

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