Illustration III: Cubic Close Packing of equal spheres
https://81018.com/ccp/

Please note:
The centerpoints of spheres connect and straight lines evolve into tetrahedrons, then octahedrons.

Discussions abound about the evolution of these infinitesimal geometries. We are studying the work of Langlands program, string theorists, and several others to gain insights regarding how it all evolves.

Illustration IV: Values, valuation, and ethics
https://81018.com/values/

Please note:
Continuity, symmetry, and harmony are mathematical and philosophical terms that can be quantifiable, but not themselves. These have become value laden and qualitative.

Although describing the action of numbers, cemeteries and equations, these three concepts have also become the basis for our valuations and our ethics.

Illustration V: New insights.within basic geometries
1. https://81018.com/tot-2/ 2. https://81018.com/octahedron/
3. https://81018.com/patent/ 4. https://81018.com/15-2/
Please note:
The tetrahedral-octahedral relation is explored in the top two images. These are the first non-spherical geometries in the universe, the building blocks. The four hexagonals within the octahedron is little discussed and it could well be the backbone of physics, chemistry, and biology. The wire frame image is of basic octet structure that was patented. The fourth image is of an octahedral gap with the tetrahedral gap on the top and bottom. Go to https://81018.com/interdependencies/