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Explore the mathematical principles underlying the intricate beauty and geometric patterns of seashells in this comprehensive lecture by mathematician Alain Goriely. Discover how molluscs, despite being humble architects, create remarkably diverse yet mathematically governed three-dimensional structures through layer-by-layer construction. Learn about the fundamental geometric rules that produce elegant self-similar spiral forms found in most seashells, and understand how these basic frameworks are enhanced with complex features like wrinkles, spines, and spikes. Examine a mathematical theory of seashell growth that explains the biological origins of these fascinating structural elements and addresses longstanding questions in the field of biology. Gain insights into the intersection of mathematics and natural science as you uncover how simple mathematical rules can generate the stunning diversity and regularity observed in marine shell architecture.
