Tag: math

How Much Further Can I Weave With a Longer Quill?

Karen

How much more thread will a 13cm quill hold than an 11cm quill? In other words, how much further can I weave with the longer quill? I decided to do a simple test to find out. Which size quill should I use for the rest of this project?

Red threads give me precise start and stop points for measuring how far I could weave with one quill. I will pull the red threads out when I cut the fabric from the loom.

First, I mark the beginning of the 11cm quill with a short red thread woven through a few ends on the same row as the first row of weft from that quill. I weave off the thread from that quill and weave in another short red thread on the final row of the quill, putting the second red thread directly above the first red thread. Now, I can measure the distance that the quill’s weft covered the warp, minus the gray weft stripe. I repeat the test with another quill so I can average the difference, if any. I find that both quills cover exactly 6 cm of warp. How’s that for consistency in winding my quills?

I started with 11cm quills because that is the size that fits the shuttle I wanted to use.

Time to test the 13cm quill. I do this exactly the same way, including the repeat test. The result? The 13cm quill covers 7.2 cm of warp. So there is 1.2 cm difference between the shorter quill and the longer quill.

Each quill measured twice. This view is from below the breast beam since I forgot to take a photo before I advanced the warp. This perspective also gives a view of more of the M’s and O’s cloth and the potential for specially-made curtains.

I have a total of 8.6 meters to weave on this curtain fabric (about 1.5 meters already woven). That means winding about 143 quills (11cm), or 119 quills (13cm). Not much difference, really. Still, I’m in favor of winding 24 fewer quills of 24/2 cotton. Aren’t you?

May the math work in your favor.

Happy Weaving, Karen

Tried and True: Designing with Fibonacci

Karen

Before starting, I sketched out several versions of the finished blanket, showing different sizes and arrangements of the rectangle blocks. My favorite version is one with a random look. This twelve-shaft double weave has three blocks. Block 1 is a solid color across the warp. Block 2 has a narrow, vertical contrasting rectangle. Block 3 has a wide, horizontal contrasting rectangle. The warp threading determines the width of the rectangles. But the height of the rectangles is determined by the treadling pattern. I decided to use a Fibonacci sequence of numbers in random order to guide my treadling options as I weave.

Double weave blanket.
Rectangles vary in size.

Low-Tech Random Fibonacci Sequence

1 Determine the desired range of the Fibonacci sequence. 1, 2, 3, 5, 8, 13

2 Determine the number of repeat options for each block (one repeat is 4 picks per double-weave layer).

  • Block 1, solid color – 2 repeats every time
  • Block 2, narrow rectangle – 2, 3, 5, 8, or 13 repeats
  • Block 3, wide rectangle – 1, 2, 3, or 5 repeats

3 Write each number of the sequence on individual squares of paper. Make three sets of these numbers. 1, 2, 3, 5, 8, 13

4 Fold each paper square in half and place in a container at the loom. Mix thoroughly.

Designing with random Fibonacci numbers. Low tech!
Fibonacci numbers are ready for eyes-closed random selection.

5 Randomly select a paper square to reveal the number of repeats for the next narrow or wide rectangle block.

Fibonacci numbers as design tool.
Assignment for the next rectangle block – three repeats. The lines indicate that this number can be used for Block 2 (narrow, vertical) or Block 3 (wide, horizontal).

For this blanket I have a woven hem and border, and then two repeats of Block 1 (solid color) between alternating Block 2 (narrow) and Block 3 (wide) rectangles of varying heights.

Double weave wool blanket.
Back side has reverse colors.
Double weave Tuna wool blanket.
Block 1 (solid blue across) stays a consistent size between the white rectangles.

Surprise is built in which makes it hard to leave the loom. “Just one more block,” I tell myself…

Double weave blanket. Fibonacci for design.
View of the cloth beam reveals the variety of sizes of rectangles. Eager to see it off the loom!

May you be greeted by random (happy) surprises.

Happy Weaving,
Karen