1 + 2 = 3
3 - 2 = … 1?!
This means something!!!
Yup.
It means it’s time to get your meds adjusted.
The original architectural base-breadth was 9131.05 inches. The difference between the originally and the present measurements were caused by the earthquakes and by the meteorological reasons: the most sun exposed south side of the present Pyramid’s base is the longest side, and the north side, mostly in shadow, is shortest.
Cite, please?
Anyone who knows anything about the history of numerology soon realizes one thing- in that view of things, ALL numbers are mystical numbers. The debates are- what each number’s mystical significance is and does it have any bearing on reality?
Length of sides of casing:
Socket Sides:
9129.8 inches
9130.8 inches
9123.9 inches
9119.2 inches
(The Pyramids and Temples of Gizeh by W. M. Flinders Petrie)
Mean length of the sides obtained by the Royal English Ordnance Surveyors (1869)
was 9130. inches.
The original architectural base-breadth was 9131.05 inches.
Well, there are many other interesting things you can get from that, such as that 1/phi = phi - 1, or that the ratio of adjacent Fibonacci numbers converges to phi, or its nice properties for pseudorandom sampling. But of course you can derive all of those from phi^2 = phi + 1.
What about 42? Where does that fit in?
It’s probably already been said, but I believe the Egyptians used a measuring wheel in order to lay out their structures. So, having phi in the measurements is pretty much militantly unsurprising.
Why people are so astounded by what ancient peoples could do or build is, to me, the real mystery…
-XT
If y’all would like to read the original measurements without all the mysticism tacked on, click here.
That’s why I’m quite fond of the series Engineering an Empire. There was quite a lot of ingenuity in the ancient world. What will the future say about us - that we cracked the human genome and boy bands roamed the Earth?
Right, of course (though the first is so similar to the defining equation I’d hardly consider it a separate fact). My point is, if one cannot posit or imagine a mechanism relating some purported instance of the “mysteriously ubiquitous” phi back to that equation, one has left the realm of mathematics for, well, something else. And once one can posit or imagine such a mechanism… well, then, the presence of phi is no longer anything remarkable at all. (Which is good; understanding things is better than finding them remarkable).
I’m not familiar with the application of phi in pseudorandom sampling. Could you describe it and/or link to further reading upon it?
*Not *inches, Angry Inches.
Length of sides of casing:
Socket Sides:
9129.8 inches
****9130.8 ****inches
9123.9 inches
9119.2 inches
(The Pyramids and Temples of Gizeh by W. M. Flinders Petrie, 20. p. 38)
What’s 9130-something inches got to do with anything in the OP?
Have you got anything to say in your own words, or are you just going to copy and paste numbers 'till the chao comes home?
Sorry, the numbers speak!
I have no idea what the significance of these numbers is… What’s so special about 9130.8?
Let’s say you want to select points from, say, the interval [0,1), in such a way that they’re approximately uniformly-spaced. One method would be to just pick points that really are uniformly-spaced, like {0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9}. But if you get interrupted partway through, your partial data set will be far from uniform. Alternately, you could pick points randomly from a uniform distribution: This would always be approximately uniform, even if you got interrupted. But random-number generation is expensive, and besides, maybe you want a repeatable method.
But another method is to get each point by adding phi to the previous point and then chopping off the integer part. So your set of points might start off {0, phi-1, 2phi-3, 3phi-4, 4phi-6, 5phi-8…}. Of course, you could do this with any irrational number, not just phi, but with any other number, you’ll get clumping in your points. With phi, your data points will always be approximately uniformly distributed, no matter where you cut off the process.
What do you hear them saying?
-XT