Lida Wolman

Maggie L. Walker Governor's School
Richmond, Virginia, USA

I am a high school student and I enjoy doing arts and crafts like knitting, crocheting, beading and stained glass. I think it is really interesting to use these different physical media to represent mathematical concepts or use math in order to create them.

10 x 10 x 10 cm
Yarn, Dowels, Toothpicks

In my Multivariable Calculus class, we did an exercise exploring the maximum number of sections into which 4 planes could divide space (15). The use of crochet allowed me to easily cross the planes and create the 15 sections. The xy, yz, and xz planes are all neutral colors and the one diagonal plane is a bright pink so that even the smallest sections created by the diagonal plane are easy to identify and facilitate a better understanding of how the 4 planes are used to divide the space. The diagonal plane had to cut through 7 of the 8 sections created by the other three planes, meaning that it had to be shifted from the origin and be at such an angle that it could cut though all 4 octants above the yz-plane and 3 below it.