I like to share conversations that might be useful to a general audience, so here’s yet another email dialogue (with names removed). This one concerns Crystal Systems and Platonic Solids.
I am trying to find out if there is a corrolation between the crystal systems (i.e. Cubic, Tetragonal, Orthorhombic, Monoclinic, Triclinic, Hexagonal, Trigonal) and the Sacred Geometry shapes. …
They are all related, but some evidently more closely than others. The cube (cubic) might be the closest connection between the 2 ‘systems’ of ‘sacred geometry’ and crystallography, since many crystal systems seem to be non-regular (differing angles and side lengths) variations of cubic forms as you suggest. There are quite a few examples of how the 5 Platonic solids all relate to each other in my first book (SGDS). I took the small sketches in Keith Critchlow’s superb “Order In Space” book and made full page illustrations from many of them in SGDS.
There’s probably lots of other online references that might help as far as the crystal systems go; here’s a few: