2017 Joint Mathematics Meetings
Moira Chas
Artists
Moira Chas
Department of Mathematics
Stony Brook University
New York, USA
http://www.math.stonybrook.edu/~moira/Math_Crochet/Regions.html
Statement
I work in low dimensional topology, and gravitate to mathematics that can be expressed in pictures. I have been trying to materialize math ideas with crochet for quite some time and recently came up with many ideas, among these, the pieces “Secret Hexagons” and “Tietze’s Dream”. I really enjoy using my pieces to explain mathematics to people, no matter what their level of mathematical maturity.
Artworks
![Image for entry 'Secret Hexagons'](/_next/image?url=https%3A%2F%2Fsubmit.bridgesmathart.org%2Frails%2Factive_storage%2Fblobs%2Fproxy%2FeyJfcmFpbHMiOnsiZGF0YSI6NTE4MywicHVyIjoiYmxvYl9pZCJ9fQ%3D%3D--d4d47a83120878772c832e334fb6e145406270d6%2Fimg_1197.jpg&w=1536&q=75)
Secret Hexagons
5 x 35 x 35 cm
Crochet
Both pieces address the question
What is the maximum number of regions a surface can be divided into, so that each pair of regions share a length of their border (vertices don’t count)?
In the torus, the maximum number is seven.
![Image for entry 'Tietze's dream'](/_next/image?url=https%3A%2F%2Fsubmit.bridgesmathart.org%2Frails%2Factive_storage%2Fblobs%2Fproxy%2FeyJfcmFpbHMiOnsiZGF0YSI6NTE4NCwicHVyIjoiYmxvYl9pZCJ9fQ%3D%3D--0dcc879d27b2f5d06fa0cd9a71f0bc3bce9ba734%2F27.jpg&w=1536&q=75)
Tietze's dream
8 x 30 x 25 cm
Crochet
Both pieces address the question
What is the maximum number of regions a surface can be divided into, so that each pair of regions share a length of their border (vertices don’t count)?
In the “two holed” torus, the maximum number is eight.