Textile Structure
how cloth is put together
Concept

Oblique interlacement — where it appears

Threads crossing at an angle other than a right angle, which is what makes a braid a braid rather than a weave. It is what puts a braid outside this site's criterion, since the criterion is written for two straight systems crossing at right angles.

Named by 2 essays across 2 fields — each of them below, with the objects they name alongside it.

The plait braid. A braid written as a word of crossings and drawn from it. Each strand is coloured by the component of the above-and-below relation it belongs to, so a word describing two independent braids rather than one shows as two colours. This one is 1 braid.

Braids and the third thread system

A braid is one set of strands interlacing with itself at an angle, so the question of whether it holds together is the same question a weave answers — and most crossing sequences answer it badly.

cloth · Integrity The angle a pressurised hose wants. A fixed length of yarn wound on a cylinder at a stated angle, with the radius and length the geometry gives, beside the volume it encloses as the angle varies. The maximum is at arctan √2 — 54.74° — with no material constant anywhere in it, and the same angle comes out of balancing the hoop and axial stresses, which is a different calculation with the same answer.

The angle a hose wants

A braided hose has one angle at which pressure neither lengthens it nor shortens it, and the angle is arctan √2 — 54.74° — with no friction coefficient, no modulus and no fitted constant in it. Two arguments that share no algebra arrive at the same number, and which side of it a hose was braided on decides which way it moves.

applied · Bias

Named alongside it

The objects these essays reach for when they reach for this one.

BraidBiasBraid wordCloth integrityConnectivityInextensibleKinematicsNeutral anglePressure vesselPrestress

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