Otago Polytechnic

Muggeridgian Solids: A visual perspective of mathematics

Andrea Muggeridge
12 April 2019

Muggeridge, A.J. (2019). Muggeridgian Solids: A visual perspective of mathematics. (An abstract of a dissertation submitted in partial fulfilment of the requirements for a Master of Visual Arts at Otago Polytechnic, Dunedin, New Zealand) 


This project Muggeridgian Solids: A visual perspective of mathematics was initially about the visual aspects of shapes - using templates to create three-dimensional shapes. I am fascinated by the elements of the sides, edges and angles.

The Platonic Solids, which are based on Plato’s theory, represent elements of the world we live in. These shapes were what initially drew me to creating my own sides, edges and angles. Archimedean Solids are essentially an extension of the Platonic Solids and have influenced my work. Through the experience of working with these shapes, I discovered sacred geometry as the foundation to mathematical structures. The Golden Ratio, also known as the divine proportion, is part of sacred geometry and organically occurs in nature. It describes the perfectly symmetrical relationship between two proportions.

I have explored the use of repetition occurring in the natural world, as well as repetition as a making process. I have reflected on the works of Olafur Eliasson, Sol LeWitt and Sarah West, whose practices focus on three-dimensional shapes and sides, edges and angles. Gemma Smith also focuses on sides, edges and angles and the combination of colour. Tone Vigeland and Lital Mendel work with repetition, and they have encouraged me further in developing repetition as part of my creative process.

My creative development has taken me to experiment with three-dimensional shapes, the use of colour, and paper as a material. These developments have led me on course of manipulation of sides, edges and angles and further experiments with other materials, such as wood, clay and metal. This experimentation has led me to create my own Muggeridgian Solids. These shapes represent emotions and offer a tactile experience.

Key words: Art; Jewellery; Three Dimensional shapes; Mathematics.

Andrea Muggeridge's primary supervisor was Alex Kennedy.


This thesis is available under a Creative Commons Attribution-NonCommercial licence CC BY-NC 4.0 International. The thesis is not publicly available online. A bound hard copy is or will be available to borrow for research purposes from the Robertson Library, University of Otago.