Artists
Helena Verrill
Teaching fellow
Mathematics Institute, University of Warwick
Coventry, England
Statement
My art work explores and aims to explain concepts in mathematics. I'm particularly interested in continuous variation of structure, in various contexts. For example, continuous variation of origami crease patterns, or continuous variation of the iterative process of creating a fractal, or of artistic expressions of families of elliptic curves. My main mediums of artistic expression are currently origami and digital art produced with WebGL and Javascript.
Artworks
Towards the Heighway dragon's boundary
40.0 x 40.0 cm
laser cut paper glued on paper
2024
This is an attempt to show some of the iterative steps in an L-system which generates the boundary of the Heighway dragon. This work is an attempt to illustrate concepts in my recent 2024 arXiv paper, which was in turn inspired by my 2024 Bridges submission. This shows iteration steps 3, 5, 9, 11 of an infinite sequence of curves which converge to the boundary of the Heighway dragon, a space filling curve with fractal boundary. Further information, including a program for producing the svg files used for laser cutting, and experimenting with different versions of layers of iterates, is given in the associated web page.