2025 Joint Mathematics Meetings
Beyza Aslan
Artists
Beyza Aslan
Associate Professor of Mathematics
University of North Florida
Jacksonville, FL, USA
Statement
I learned how to crochet in my childhood, but only recently discovered how to make math fun by crocheting mathematical geometry. I get great joy turning abstract mathematical geometry into easy to observe visuals. I find trying to figure out crocheting mathematical details very interesting. My goal is to present the beauty in the intersection of art and mathematics to a larger audience to increase appreciation of both. I particularly enjoy recreating designs involving polygons in a circular crocheting pattern.
Artworks
Crocheted Einstein Tiling
25.0 x 20.0 cm
Cotton crochet yarn
2024
A patch of the blue-white-gray colored version of the recently discovered Einstein tiling from the original paper is crocheted. It is observed that beneath the tiling that is made up of “hat-shaped" tiles are hexagons. Upon further investigation, we find that there are 8 differently colored hexagons whose different rotations made up the colored design. The patch is initially observed as a hexagonal grid and each hexagon is numbered 1 through 8 according to their coloring combination. After crocheting necessary hexagons, they are combined according to their orientations to create the final design. To finish, each hat is bordered by black yarn to highlight them.