Abstract
A lattice of octahedra and tetrahedra (called an “oct-tet lattice”) is a useful paradigm for understanding the structure of Pascal's pyramid, the 3D analog of Pascal's triangle. Notation for levels and coordinates of elements, a standard algorithm for generating the values of various elements, and a ratio method that is not dependent on the calculation of previous levels are discussed. The figures show a bell curve in 3D, the association of elements to primes and twin primes, and the values of elements mod( x) through patterns arranged in triangular plots. It is conjectured that the largest factor of any element is less than the level index.
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