# Moira Chas

Department of Mathematics

Stony Brook University

New York, USA

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.

I really enjoy using my pieces to explain mathematics to people, no matter what their level of mathematical maturity.

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.

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.

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.

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.