I have a confession to make – I’m not really the last of the Pi Jedi in that technically, I’m the first and last of the Square Root Jedi, trying my best to cover for the absence of the two venerable Pi Jedi, Carl P. Munck and Michael L. Morton while doing my own thing. What does this mean in plain English?
In working with Munck’s system of numbers, I work with two kinds of numbers, which I call “Pi Numbers” and “Square Root” numbers, since someone went and left the naming of these things to the unimaginative likes of me. I prefer to work with Square Root numbers and select them for proposed measurements of ancient architecture because they can be extremely powerful tools for unlocking whole series of important numbers.
I think just recently I found the reciprocal of sqrt 60 working to reveal important numbers at all the way to the 27th power. By pairing sqrt 60 with the right number, that’s writing 27 important numbers by writing just two!
To the best of my knowledge, “Pi numbers” will always resolve into whole numbers when multiplied or divided by Pi x number of times, which implies their ultimate derivation is from whole numbers and the Pi ratio. Some very large whole numbers can be tricky because they go on so many places they can look like they aren’t whole numbers, when the actually are.
“Square root” numbers to the best of my knowledge, will never resolve into whole numbers via the Pi ratio, but tend to resolve into whole numbers via multiplication or division by some of the most commonly seen square roots in “Munck’s” math like sqrt 15, sqrt 60, sqrt 240, sqrt 960, sqrt 3840 and etc.
( 15, 60, 240, 540, 2160, 4860, 8640, 31104, 77760, and 174690 are some of these numbers that have valid and important square roots within the system in question).
That may help explain why numbers like 6480 or 25920 don’t seem to have valid square roots, and of course we can see the pattern of multiplication of one whole number by 4 in there (15 x 4 = 60, 60 x 4 = 240, 240 x 4 = 960, and etc), because 4 has a valid square root (which is 2) in contrast to 2 because the square root of 2 doesn’t belong to the system.
A Pi number multiplied or divided by another Pi number will always give another Pi number.
A Pi number multiplied or divided by a Square Root number will always give another Square Root number.
A Square Root number multiplied or divided by another Square Root number will always give a Pi number.
For background here, a reader writing into Munck’s newsletter had noted seeing a lot of 1.000723277 in his own experiments with Munck’s math, which Munck referred to as a “gremlin” in the works. Sometimes things don’t work out the way we expect and we find they’re off by a ratio of 1.000723277.
Over the years, we’ve realized (or at least I have) that 1.000723277 is less of an annoyance that can foul up our best schemes for interpreting ancient monuments, and more of an essential link between important numbers – a link between what may be two separate sets of calendar numbers, and a link between what may be two separate sets of metrological numbers (give or take my hypothesis that ancient metrological numbers are directly descended from ancient metrological numbers).
Back to the subject at hand for now, I called them Square Root numbers because that’s where they seem to get a foot in the door, as soon as we take a system based on circular mathematics and throw in the Almighty Sacred sqrt 240 that is at the heart of the proportions of the Great Pyramid and Stonehenge according to the reckoning espoused by Munck.
We could theorize that the height of the Great Pyramid is actually 5 x (Pi^6) = 480.6945969 ft if we chose, as opposed to (sqrt 240) x (Pi^3) = 480.3471728, but it’s the Square Root numbers that make life interesting and provide some of the most powerful tools for unlocking data.
5 x Pi^3 = 15.50313824, but the more interesting and useful option is 15.49193338, sqrt 240, and that’s also where the most infamous “gremlin” gets a foot in the door, namely the fine ratio 1.000723277: 15.50313824 / 15.49193338 = 1.000723277.
We can tell right there that 1.000723277 is a Square Root number because it’s formed here from a Pi number .5 x (Pi^3) and a very obvious Square Root number, the square root of 240.
So when it comes to the concerns of calendars, we know that 364.7562611 is a Pi number because it can be formed from a whole number and Pi (3600 / (Pi^2)) = 364.7562611, and…
364.7562611 x 1.000723277 = 365.0200808 is a Square Root number, because it is formed here from a Pi number and a Square Root number. Likewise, Venus Orbital Period (A) 224.8373808 is a Square Root number because it can be formed from 225 (Pi Number) / 1.000723277 (Square Root number) = 224.8373808 (Square Root number).
Rather than leap off the deep end into calendar numbers, I’ll leave it at that for now, but suffice it to say understanding that the fine ratio 1.000723277 is at work has been vital to understanding that there are seemingly two separate sets of ancient calendar numbers, and why there are seemingly two separate sets of ancient calendar numbers, that are expressed by the proportions of ancient architecture.
For the record then, my preference for 365.0200808 over 364.7562611 and my preference for 224.8373808 over 225.0000000 probably make me a Square Root Jedi rather than a Pi Jedi proper, but pardon the pun, who’s counting? 🙂
–Luke Piwalker
Luke Piwalker 