I spend hours playing with point twill threadings, mostly because I find them easy to thread on an 8 shaft loom. In the following illustration I show three stages in one of my experiments. Read these diagrams from right to left. First is a point twill threading with a treadling developed on a point twill initial (1,2,3,4,3,2). The max float length is 5. Then I took a small section of this treadling and mirrored it, so that the design contained internal symmetry. Max float went down to 3. In the final (leftmost) design, I turned the draft so that the treadling became the threading, then tromped as writ. The result is a lacy-looking thing.

Here it is a little bigger. If you’d like to try weaving this, I’ve uploaded the draft to Handweaving.net as #81193.

It’s a lot of fun to take sections of this draft and repeat or reduce them; and you can spend hours playing with changing or wrapping the tieup. Just remember to keep track of float length: longer floats require closer setts.
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