sarah-marie belcastro

Statement

I am a mathematician who knits as well as a knitter who does mathematics. It has always seemed natural to me to combine mathematics and knitting, whether that results in knitting a model of a mathematical object or in using mathematics to design a garment. Indeed, over my mathematical life both of these types of combinations have occurred. Most of the mathematical models I have created are only of aesthetic value and have no real function; it is rare that I am able to adapt a mathematical object for use as a garment or other practical use. (It is perhaps too much to hope that I could regularly combine artistry and function in addition to knitting and mathematics.)

Artworks

Each torus in this series of eight has an embedded $(m,n)$ torus link (knitted as part of the object, not by using surface crochet). From smallest to largest diameter, these are the $(3,1)$, $(0,2)$, $(4,2)$, $(3,3)$, $(6,2)$, $(2,4)$, $(6,3)$, and $(6,4)$ torus links. The component sum $(m+n)$ increases monotonically with torus size, with one aberration introduced to create visual variation. The color(s) of the links reference the colors of the tori immediately preceding and succeeding them in the series, and collectively the colors used span a rainbow.