Textile Structure
how cloth is put together
Generator

Yarn per repeat, and how much of it is a count

Yarn per repeat, and how much of it is a count
Yarn per repeat, and how much of it is a count. Wale spacings of yarn in one repeat of each structure, at a tuck taken as 1.15 of a loop and the two beds 1 needle pitches apart. The composed total and the summed traverse are computed separately and required to agree exactly, so the bars are an identity rather than an estimate. The figure beside each bar is the share of the yarn that is knits and tucks alone — a count with no geometry in it — and the remainder is sinker loops crossing between the beds, which is where the bed gap lives. The worst case here is interlock at 91.2 per cent. Differencing a full rib against the same rib with one back needle missing puts a miss on the far bed at 105.5 per cent of a loop, where on one bed it is exactly 76.7 per cent whatever the structure.

Wale spacings of yarn in one repeat of each structure, at a tuck taken as 1.15 of a loop and the two beds 1 needle pitches apart. The composed total and the summed traverse are computed separately and required to agree exactly, so the bars are an identity rather than an estimate. The figure beside each bar is the share of the yarn that is knits and tucks alone — a count with no geometry in it — and the remainder is sinker loops crossing between the beds, which is where the bed gap lives. The worst case here is interlock at 91.2 per cent. Differencing a full rib against the same rib with one back needle missing puts a miss on the far bed at 105.5 per cent of a loop, where on one bed it is exactly 76.7 per cent whatever the structure.

3 essays call bed-cost. The drawing above is what it returns with no arguments at all; every call below passes it something, because a placement that passes nothing draws whichever member of the family the generator happens to default to rather than the weave its essay argues about.

Where it is called

Changing this generator changes every one of these figures.

rib-float in section. A two-bed structure seen in section across the wales, over 3 repeats of course 1. The front bed's loops sit on the upper line and the back bed's on the lower one, offset by 0.5 of a needle pitch because the gating is rib. Of the 2 floats in the repeat, 2 lie in the gap between the beds and 0 on a surface. The upper panel is the fabric at the machine and the lower one is the same course with the beds closed up, which is what happens when the fabric is cast off — and neither panel is a relaxed fabric, because the loops are drawn as arches of one size and a real one settles wherever the yarn's bending leaves it. Knits and other structures

A second bed changes what a float is

Every float so far has been on a surface, because every knit so far has had one needle bed. Put a bed behind it and the yarn runs in the gap between them — and over the whole enumeration of two-bed structures, 1,248 floats of 1,272 lie inside the cloth, on no surface at all.

 tubular, as a graph of its wales. Every wale of tubular as a node — 2 on the front bed and 2 on the back — with one chain per course joining everything that course takes yarn on, because a course is one traverse of one yarn. The nodes are filled by which component they fall into. This structure comes out as 2 fabrics: F0+F1 and B0+B1. The same answer is obtained a second way, by walking every partition of the wales and asking whether any course straddles it, and the two are required to agree. Knits and other structures

Does a double jersey hang together

Two beds knitting with nothing passing between them are two fabrics that happen to have been made at once. Of 6,561 two-bed arrays, 1,135 are fabrics and 50 of those are two fabrics — and 28 of the 50 split across the beds rather than along them, so neither half is a layer.

 The weight against the constant nobody has measured. Areal weight against the stitch-density constant, for four two-bed structures at 20 tex on a 0.35 cm loop with a tuck taken as 1.15 of one. Every line is exactly straight through the origin, because the weight is tex times yarn per repeat times k_s divided by the area of the repeat and there is no fitted constant anywhere in that division. The three vertical rules are the only measured values this site has — Munden's published k_s for plain single jersey in three relaxation states — and none of them is the right value for any structure drawn here. Where each line should be read is the whole of what is missing. After the loom

The constants do not compose

The yarn in a knitted structure is a sum of what each element takes, exactly, over structures nobody has measured. The size the structure relaxes to is not a sum of anything — and the whole gap between the two is one number per structure, which would cost forty-five fabrics each to obtain.

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