Textile Structure
how cloth is put together
Generator

A muslin moving along its own locus

A muslin moving along its own locus
A muslin moving along its own locus. The same muslin at 3 states, with a warp end drawn above a weft pick in each. Both thread lengths are identical in every panel — 0.4904 mm of warp and 0.4496 mm of weft per crossing — so nothing between the panels is a yarn changing length. The thread thickness is exaggerated by the circular section the model uses, so the crimp shown exceeds a real cloth's.

The same muslin at 3 states, with a warp end drawn above a weft pick in each. Both thread lengths are identical in every panel — 0.4904 mm of warp and 0.4496 mm of weft per crossing — so nothing between the panels is a yarn changing length. The thread thickness is exaggerated by the circular section the model uses, so the crimp shown exceeds a real cloth's.

3 essays call tensile-section. 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.

Everywhere a sheeting can go. Every state a sheeting of 28 × 26 threads per centimetre in 25 and 25 tex can reach without a yarn changing length, solved from Peirce's plain-weave geometry. The set is a curve and not a region: 4.03 per cent of extension is available along the warp, and reaching it costs 6.98 per cent of the width. Mechanics and drape

A cloth extends by moving its crimp

Everybody says the extension available along the warp is the warp's own crimp. On six of eight ordinary cloths it is not — a close sheeting has 14.61 per cent of warp crimp and reaches 4.03 per cent, because the limit lives in the weft.

 Everywhere a muslin can go. Every state a muslin of 24 × 22 threads per centimetre in 20 and 20 tex can reach without a yarn changing length, solved from Peirce's plain-weave geometry. The set is a curve and not a region: 6.59 per cent of extension is available along the warp, and reaching it costs 21.82 per cent of the width. Mechanics and drape

Pulled both ways, only one can give

A cloth at constant thread length has one degree of freedom, so its reachable states are a curve rather than a region. Equal extension in both directions meets that curve at exactly one point — the state the cloth is already in — so the amount available is nought.

 A ratio that will not hold still. The exchange rate between the two directions for 4 cloths, against how far each has been extended along the warp. Every curve is above one half everywhere it is drawn, and every curve rises — so a single number for a cloth's ratio has to name the state it was read at, which a material's ratio does not. Mechanics and drape

A cloth's Poisson ratio is not a material's

The ratio of a cloth's contraction to its extension has a name everywhere else in mechanics, and it breaks every rule the name comes with — above one half on all eight cloths measured, doubling across a four per cent span, and not reciprocal between the two directions.

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