Applications of Euler's Formula and Graphs in Algebraic Topology
Offered By: Insights into Mathematics via YouTube
Course Description
Overview
Explore the applications of Euler's formula and graphs in this lecture from the Algebraic Topology course. Discover how Euler's formula proves the existence of only five Platonic solids and learn about other polyhedra types, including deltahedra and Schafli's higher-dimensional generalizations. Examine the 120-cell, 600-cell, and 24-cell in four dimensions. Conclude with a discussion on Euler's formula for planar graphs. Gain insights into these fundamental concepts of algebraic topology through clear explanations and examples provided by Associate Professor N J Wildberger of UNSW.
Syllabus
Applications of Euler's formula and graphs | Algebraic Topology | NJ Wildberger
Taught by
Insights into Mathematics
Related Courses
Introduction to Algebraic Topology (Part-I)Indian Institute of Technology Bombay via Swayam Introduction to Algebraic Topology (Part-II)
NPTEL via Swayam Intro to the Fundamental Group - Algebraic Topology with Tom Rocks Maths
Dr Trefor Bazett via YouTube Neural Sense Relations and Consciousness - A Diagrammatic Approach
Models of Consciousness Conferences via YouTube Classification of 2-Manifolds and Euler Characteristic - Differential Geometry
Insights into Mathematics via YouTube