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The Remarkable Platonic Solids II- Symmetry - Universal Hyperbolic Geometry

Insights into Mathematics via YouTube

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Overview

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This course examines the rotational symmetries of the Platonic solids using rigid motions in three-dimensional space. It relates the number of symmetries to directed edges and considers the duality between cubes and octahedra and between dodecahedra and icosahedra.

Syllabus

Introduction
Platonic solids as physical objects
Rotations in 3D space
Rotational symmetries of the tetrahedron
Directed edges
Rotational symmetries of the cube
Rotational symmetries of the dodecahedron
What about the Octahedron and icosahedron?

Taught by

Insights into Mathematics

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