The Klein bottle and projective plane | Algebraic Topology | NJ Wildberger

We investigate the five Platonic solids: tetrahedron, cube, octohedron, icosahedron and dodecahedron. Euler's formula relates the number of vertices, edges and faces. We give a proof using a triangulation argument and flow down a sphere.

This is the eighth lecture in this beginner's course on Algebraic Topology, given by Assoc Prof N J Wildberger of the School of Mathematics and Statistics at UNSW.

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My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things.

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Here are the Insights into Mathematics Playlists:

MathHistory: A course in the History ...
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Math Foundations
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Famous Math Problems
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Elementary Mathematics (K-6) Explained
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Algebraic Calculus One
Classical to Quantum
Algebraic Calculus Two
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The Hexagrammum Mysticum (Members only)
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