[FYI, "By the pricking of my thumbs, Something wicked this way comes" is from "Macbeth" and linked to HERE.]
From the table, Sherlock deduces a bust of Margaret Thatcher had been positioned there but had been removed, most likely broken....but not broken next to the table because there was a thick area rug. A loose thread, where had the bust been broken? Why steal a bust not having substantial apparent value in a house (semi mansion) having, no doubt, many valuable and marketable items?
As the trio are leaving the home Sherlock stops on the porch to examine something he'd seen on the porch when they first arrived and this exchange occurs:
Noteworthy, Intuition; data processed too fast for the conscious mind to comprehend. Loose threads, details without identified connections to the puzzle and solution that must exist. Arthur Conan Doyle was a spiritualist and his Sherlock did not miss details even if their connections were not apparent. Mark Gatiss' Sherlock is equally attendant to inexplicable details and ever more so the believer that something deeper than the mind is at work in each of us.
Details. First, the market cube chart for convenience:
Now the 10 PTVs and values in tabular form:
Vindication of Leonardo de Pisa' Phi. An early iteration of Fibonacci series is 3 and then 5 giving us an early and easily recognized iteration of Phi at 3 / 5 = .60 or its inverse of 1.666. Look at the diagonals (of square ABCD and the two squares) and note how they subdivide:
And then I applied the Phi subdivision to the combined values of the two diagonals of the cube and found them to be much close to a Fibonacci 5 / 3 arrangement; 1.6662 and its reciprocal .6002. Within mere 10 thousandths of perfection.
What might be gleaned? Obviously Phi is at work. But more comforting, just as the Fibonacci series iterates closer and closer to theoretic Phi, so perhaps the market's early iterations of the mathematic goal to which it strives becomes more refined as the structure is formed.
More details. Phi, root 2 and 2, Pi, root 3 and 3.... all over the place. Here are just a few:
The square ABCD and Root 2 revisited. Recall the early "aha" in discovering the sum of the four sides of ABCD divided by the sum of its two diagonals provided 1. To be honest, I was a bit disappointed that average diagonals divided by average sides was 1.4068 compared to ideal root 2, that being 1.4142. But there may yet be a happy ending. Let's look at that same averaging number but let's also look at the reciprocal of the gross PTV values of sides and diagonals:
The sides of that twisted, supposed square ABCD in perspective relate to its diagonals by the ideal root 2 to the 4th significant digit. Perfection.
Is that a coincidence?
I'm sure there are "details" above that are invalid, though seemingly close. In those law does not require that they work out as they did; we have true coincidence. The above represents but maybe a half day of searching. A more disciplined and instinctive searcher than myself would find many more relations than did I.; many more "loose threads" I suspect.
Some "intuitive" thoughts:
Does the development of and 'end game' in the current market correspond the perfection of Phi or other metric among PTVs? Take Fibonacci 3/5 or .60. The diagonals of the sides of square ABCD, AD and BC are sectioned in to imperfect but recognizable .4044 and .5956. Those vectors are complete early on in the current market, point D having completed in March 2009. Much later on, vectors AE and DE complete (prospectively) in March 2017 and relate to one another again by Phi. At this latter endpoint, a more accurate reflection of Fibonacci 3/5, that being .3998 (DE /(AE+DE)) and .6002, has developed.
Does the market, as it vibrates, exceed the Phi mark on an early swing and with each successive swing miss the mark by less and less until the Phi mark is substantially perfected? Can a new marginal high create yet greater perfection of Phi between diagonal PTVs AD and BC or the Phi relation between two side PTV CE relative to center of cube diagonal BE (2734/(2734+1681)=.6193)?
Did March 1, 2017 print the final high of the structure that began in January 2000? What happens to all these market measurements, which seem to have found perfection in their four PTVs AE, CE, BE and DE, if point E makes a higher high?
Which are the more sensitive PTVs in seeking Phi perfection; the pair of AE and DE face diagonals or the pair of the two sides vector CE and cube center diagonal BE. The former are very close to perfection of the Fibonacci 5 / 3 iteration of Phi (presently at .6002) while the latter are far less perfected of the ideal Phi at .618 (presently at .6193).
Another all-time-high, only if marginal, or is it close enough to structural perfection? A loose thread that perhaps some sensitivity analysis might answer but which will surely be answered in time.