Why nature prefers irregular patterns over perfect geometric tiles
In short: While human design often relies on precise, straight-edged shapes, the natural world operates differently. This lecture explores the mathematical principles behind how both rigid, regular tiles and soft, irregular patterns emerge through physical forces.
Mathematician Alain Goriely examines the tension between 'hard' tiles—geometric shapes that fit together without gaps—and the 'soft' or irregular patterns found in nature. He uses examples ranging from the hexagonal wax cells in beehives to decorative wallpapers to illustrate how tiling fills a plane or space.
The presentation delves into the underlying mechanics that govern these formations. Goriely, who leads the Oxford Centre for Industrial and Applied Mathematics, draws on his expertise in biological growth and mechanics to explain how physical forces shape the irregular structures often favored by the natural world.
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Sources
- Summary by Intellect · source: The Shape of Tiles: Regular and Irregular, Hard and Soft - Alain Goriely
- Also: The Shape of Tiles: Regular and Irregular, Hard and Soft - Alain Goriely - Gresham College Lectures
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