This essay was written by Lower Sixth Form student Yuvan Raja as an Original Research in Science (ORIS) project. It was the winning submission in the ORIS category of the 2025 ILA/ ORIS award. The following provides a short introduction to the full report, which can be found below:
In this project I develop a variety of strategies for code that produces fractal meshes for Koch Snowflake and Heighway Dragon curves. These meshes are created so that the mesh components can represent infinitesimal elements when approximating numerical integrals on fractal domains. The task of performing numerical integrals on fractal domains is an area of interest, as evaluating these integrals is a key challenge in finding the solutions of Integral Equations on fractal domains, such as those governing acoustic wave scattering.
The Unchained Library 