Straight twongs: unit ply-split braiding

Twongs don't have to be bent (it saves some trouble if they aren't.) Both 2-ply and 3-ply twongs can be made without the usual bends if they are to be used in a kagome weave pattern. (This familiar tessellation of hexagons and triangles is the medial of both the regular tessellation of triangles and of the regular tessellation of hexagons.)

The crossings at the vertices are 2-ply over 2-ply and belong to the technique of ply-split braiding.

The ply-split crossings are especially advantageous with twongs because they "lock" and cannot be undone by simple untwisting.

Here is a small sample of 2-ply, unit ply-split or UPS braiding in a kagome weave.