This course explores the connection between mathematics, art, and the human form through the study of curves. The learning outcomes include understanding the language of curves, René Thom’s Catastrophe Theory, and their applications in various fields. The course teaches skills such as identifying folds, cusps, and swallowtails, and the methods include a lecture format with a focus on interdisciplinary connections. The intended audience is individuals interested in the intersection of mathematics, art, and science.
The Seduction of Curves - The Lines of Beauty That Connect Mathematics, Art and The Nude
University of Oxford via YouTube
Overview
Syllabus
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
Taught by
Oxford Mathematics
