Models of tetrahedrons

Abstract.
Basic platonic geometries show a tetrahedron with three readily seen tetrahedrons, one with a red triangular face on the top and one with a purple face on the bottom right, and one with a blue triangular face on the left. The center yellow triangle is the face of an octahedron. A fourth tetrahedron is only partially displayed on the bottom in the back.

Perfectly inside the octahedron, we discover six octahedra in each of the corners and eight tetrahedrons, one in each of the eight faces. These simple formulations, when imagined at the Planck scale, provided the impetus to imagine it as a finite-infinite transformation mechanism.