Fibonacci Downpour

I based Fibonacci Downpour and Knit Bifurcation on Anne Lorenz-Panzer’s knitted shawl pattern Not a Drop, released under her professional label Arlene's World of Lace. Her original shawl is rectangular with a distinctive teardrop stitch pattern. Since the drop shapes are formed by bifurcating and then rejoining the vertical lines of stitches, I became curious about ways to decouple the bifurcations and merges to form branched designs.

Here, the vertical stitch lines branch and form drops following a physical version of the Fibonacci recursion, described in the Bridges 2016 proceedings paper A Recursion in Knitting. The number of drops and branchings in each row are consecutive Fibonacci numbers. As the Fibonacci numbers are asymptotically exponential, the fabric falls into a more or less pseudospherical form.