I spent a couple of hours figuring out the dimensions of that card weaving tool shown in the Old Believers film I mentioned earlier. Took a lot of tedious measuring, scaling up, converting from metric to Imperial units, and estimating, but I did it. Discovered that the dimensions contain the proportions of phi and a Fibonacci number sequence, which would explain why I instinctively admired the shape when I first saw it.
ETA: I have posted directions on how to make the tool here.
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