Daniel’s Math-Assisted Design

27 October 2020
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Year 12 student of Pakenham Campus, Daniel Sandvik, was not always a fan of mathematics. After becoming fascinated with maths in his later years of school and studying VCE Mathematical Methods, he now uses it to design products related to his interests.

Recently, an acoustician asked him if he knew of a mathematical way of designing a wooden acoustic panel (Helmholtz resonator) with 86 equally spaced holes in an aesthetically pleasing layout. Daniel rose to the task and used a combination of mathematical tools and processes to create the design.

A computer-generated image of the finished product, created by the acoustician using CAD software.


“By using Wolfram Mathematica and online forums, I stumbled across an algorithm called ‘Voronoi Tessellations’. Voronoi algorithms are used in art, sciences, medicine and engineering.”

Daniel downloaded source code into Wolfram Mathematica and then analysed and modified the variables of to create a design that would suit the dimensions of the wood panel. The code then generated the geometric patterns and hole markers for the design.

                   Daniel’s design


The panels will be manufactured using CNC routing post-COVID.

“Mathematics is not a collection of strange hieroglyphs; it is a school of thought. I hope that in my future, whether it be in creating music, video games or practising medicine, I will be able to continue solving problems utilising the essence of Mathematical Methods.”

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