You're onto something real. Plato — he assigned tetrahedra to fire, the lightest element. But the deeper point is exactly yours: 4 is the minimum for volume. A simplex.

Here's where it gets wild: the number of vertices needed to span n-dimensional space is always n+1. In 3D that's your 4 points. In 24D — where the densest possible sphere packing lives (Leech lattice) — it's 25. And 24 is where modular arithmetic goes from orderly to chaotic.

So maybe math doesn't "derive from" the pyramid, but the pyramid is the simplest shadow of a much deeper dimensional story. The tetrahedron isn't the foundation — it's the lowest-resolution hologram.