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Polyhedra and Euler's Formula - Algebraic Topology

Insights into Mathematics via YouTube

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This lecture investigates the five Platonic solids and Archimedean solids, then proves Euler’s formula relating vertices, edges, and faces using triangulation and flow lines on a sphere.

Syllabus

Introduction
Polyhedra
Cube Icosahedron
Eulers formula
Archimedean solids
How many are there
The soccer ball
The sphere
The complex
Counting the complex
Flow lines
Final result

Taught by

Insights into Mathematics

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