Mendingthesacredhoop.com 
The Story of The Unit Simulacrum and Whole PI 
Nested Ratios In Pad 5, I started out by finishing up the last proofs of the Bottom Up Solution. On the front page of the pad is a Case 2.3.5 and Case 2.3.6 example, and a Case 2.4.5 and Case 2.4.6 example using idealized spectra with abundances to the nearest 5%. It is the kind of thing that served as Figure 5 for the Bottom Up Solution in the journal. A similar figure is repeated here as Figure 35. The cases on my pad were before alignment. The Cases in Figure 35 are after alignment. By this time, I had seen the pattern of the sum of all possibilities and found the Unit Simulacrum. So I just needed to finish the work of proving the Bottom Up Solution equations, and get on to putting it in simulacrum terms instead of BUS terms. 
Chapter Four  The First Increment — Page Four
