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4. Circle Packing
This series of experiments around circle packing began as a deep dive into the sophisticated techniques described in the technical paper A Circle Packing Algorithm by Collins and Stephenson. Unlike the more intuitive approaches often introduced in basic algorithm classes, this process offered a mathematically rigorous way to construct circle packings, providing a fascinating bridge between geometry, combinatorics, and graph theory. I was captivated by the idea of using abstract mathematical objects, such as graphs, to control and influence the geometry of the packing, creating intricate and meaningful relationships between the circles.
This technique opened up a wealth of creative possibilities. By manipulating the underlying graph structures, I could shape the layout, density, and hierarchy of the circles, exploring how subtle changes in the abstract representation translated into complex and often unexpected visual patterns. The process felt like uncovering hidden connections between different branches of mathematics, allowing me to approach geometry from a fresh and theoretical perspective.
The resulting works are both precise and organic, reflecting the tension between the abstract, theoretical framework and the tangible, visual outcomes. Each piece tells a story of how order emerges from constraint and how abstract mathematical principles can be transformed into captivating, visually rich compositions. These works not only celebrate the beauty of geometry but also highlight the creative potential of mathematics as a tool for artistic exploration.