I recently came across these videos and found them to be a great overview of irrational numbers and the Platonic Solids. I recommend taking a look at the author’s site, Nature’s Word,as it is a very well put together resource for Sacred Geometry. These video along with the author’s site add a good amount of context to my posts regarding Sacred Geometry.
Part 1: Introduction
Part 2: Square Root of 3 in Geometric Form
Part 3: Square Root of 3 in Molecular Structure
Part 4: Close Packing and Conclusion