Hanne Kekkonen
Research Fellow in Mathematics
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
Cambridge, UK
I'm a mathematician who is interested in visualising different topological shapes. I was originally attracted to mathematical art by the possibilities offered by 3D-printing. However, I quickly realised that many printable shapes can also be crocheted. Nowadays I create shapes with several different materials, but I still find crocheting the easiest way of making complex shapes.
One sided
10 x 45 x 10 cm
Crocheted cotton yarn, metal ring
2018-2019
Three different embeddings of the Möbius band into R^3.
The shape on the left resembles the classical paper strip model but it is mathematically rather different. It has a simple parametrisation, its centre forms a circle, and it is a non-developable and ruled surface.
The one sided shell in the middle is a Möbius band with perfectly circular boundary. It is known as a Sudanese Möbius band or a Möbius snail.
The rightmost model is an embedding that has a perfectly circular boundary in the middle. The surface should extend to infinity, but to save some time and yarn I stopped when a nice planet shape was reached.
The fist two embeddings are homeomorphic with the classical paper strip model.
The shape on the left resembles the classical paper strip model but it is mathematically rather different. It has a simple parametrisation, its centre forms a circle, and it is a non-developable and ruled surface.
The one sided shell in the middle is a Möbius band with perfectly circular boundary. It is known as a Sudanese Möbius band or a Möbius snail.
The rightmost model is an embedding that has a perfectly circular boundary in the middle. The surface should extend to infinity, but to save some time and yarn I stopped when a nice planet shape was reached.
The fist two embeddings are homeomorphic with the classical paper strip model.