Standing Waves form Platonic Solids
"In 3D standing waves, a structure, with all characteristics of a platonic solid, is formed for each standing wave mode. Within an atom, which is the building block of matter, the platonic solid is not formed by salt or known particles, but by electromagnetic waves in vacuum.
Both the students of Buckminster Fuller and his protege Dr. Hans Jenny devised clever experiments that showed how the Platonic Solids would form within a vibrating / pulsating 3D sphere.
In the experiment conducted by Fuller's students, a spherical balloon was dipped in dye and pulsed with pure sine wave sound frequencies. A small number of evenly-distanced nodes would form across the surface of the sphere, as well as thin lines that connected them to each other.
If you have four evenly spaced nodes, you will see a tetrahedron.
Six evenly spaced nodes form an octahedron.
Eight evenly spaced nodes form a cube.
Twelve evenly spaced nodes form the icosahedron
and twenty evenly spaced nodes form the dodecahedron.
The straight lines that we see on these geometric objects simply represent the stresses that are created by the closest distance between two points for each of the nodes as they distribute themselves across the entire surface of the sphere."