Andrea Hawksley

This children's dress pattern was inspired by the Cantor set. The dress has exactly 81 rows, and the green rows are what remains in the Cantor set in the 5th iteration. Between each green row, there are yellow and orange sections. For each of those sections, we treated it as if it was a lower iteration of a Cantor set with the yellow color being the remaining part of the set. Thus, if there was 1 row, it was a solid yellow, if there were three rows it was yellow red yellow (middle third removed), and so on. This dress was knit using a hand-cranked 48 needle knitting machine with hand crocheted finishing details. It was inspired by David and Mara Lutomirski's science fair project where they tested many types of yarn for compatibility with the knitting machine and observed that the Big Twist Posh yarn yielded a surprisingly large fabric swatch, with a diameter that could be worn by Mara as a dress. (https://docs.google.com/spreadsheets/d/1_xJ0ygX4IEtYVvJ7VGWSh7xuR3d08eKdF2s6ouhno0Y/edit?usp=sharing) This project was a family project created with the help of my children David and Mara Lutomirski. They each helped do some of the knitting and had fun learning about different types of infinities, fractals, the Cantor set, and other related math topics in preparation for the creation of the dress.