The Seduction of Curves - The Lines of Beauty That Connect Mathematics, Art and The Nude

Explore the fascinating connections between mathematics, art, and the human form in this 47-minute Oxford Mathematics Public Lecture. Delve into the language of curves, from the stability of oil rigs to gravitational lensing and life drawing. Discover how René Thom's Catastrophe Theory provides the key to understanding curved surfaces, and learn about folds, cusps, and swallowtails. Journey through diverse fields including physics, engineering, biology, and art, with a focus on the beauty of curves. Examine concepts like structural stability, geometric sequences, and energy surfaces, while appreciating their applications in natural phenomena and artistic expression. Gain insights into the Renaissance language of curves, wave nature, and the intriguing Whitney umbrella. Note: This lecture contains nudity in the context of life drawing.

Intro
Thank you Maths Institute
Rene Tom
Structural Stability
Geometric Sequence
Stability Theory
Geometry and Beauty
Catastrophe Theory
The Purpose of the Lecture
The Fold
Catastrophes
Energy Surface
Equilibrium Surface
Cusp
Hidden Fold
Spoiler Tail
Scale
Natural Trees
Stripeys
More Photos
Math
Life Drawing
Butterfly
Floating Chair Legs
Butterfly Disaster
Student Art
The Umbilicus
The Whitney Umbrella
Renaissance Language
Wave Nature
gravitational lensing
structural stability morphogenesis
art and architecture
the Swallowtail