# Moira Chas

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.

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.

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.