# Virahanka’s Thoughts Overflow

Berroco Remix Light, copper wire

2021

Fundamental Regions: The Math/Art of Susan Goldstine, Boyden Gallery, St. Mary's College of Maryland, January - March 2022

A standard increase in two-color brioche knitting splits a line of main-color stitches into two branches.
The companion works *A Tree for Virahanka* and
*Virahanka’s Thoughts Overflow* feature a simple recursive branching rule in
which the numbers of branches at each level are the Virahanka sequence, also known as the Fibonacci numbers. In *A Tree for Virahanka*, the branchings occur at the Fibonacci levels, so that the length of the knit rows grows proportionately to the height of the knitting. Thus, the fabric lies flat and occupies a sector of a circle. By contrast, the branchings in *Virahanka’s Thoughts Overflow* are evenly spaced, so that the length of the rows grows roughly exponentially, giving the fabric a flared form. The number of knitted rows in each work is the same.

*Fibonacci Downpour*. The generation rule appears in the Bridges 2016 proceedings paper

*A Recursion in Knitting*.