I have begun a YouTube video series on the five Platonic Solids. In the first video, I describe the basic geometrical properties of the Platonic Solids. We show how to define the Platonic Solids geometrically, observe their shapes and count their faces, edges, and vertices, and give a proof that these are the only five regular solids.
I also discuss the link to Plato and explain how Plato gave a correspondence to the elements in the dialogue Timaeus. In future videos, I will go into much more depth on the mathematics of the Platonic Solids and describe meditation exercises with visualizing the solids.
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