# Euler, φ and ρ

[Note: I need to end the equations with a period to persuade WordPress/Latex to put sane spacing between lines.

Euler’s famous equation $e^{iπ} + 1 = 0$ is usually considered the “most beautiful” in mathematics.

We could also write it in the so-called “ugly” format as $e^{iπ} = -1$.

Now we know that for the golden ratio φ,

${1 \over {φ}} - φ = -1$.

So let’s rewrite Euler using that:

# Publish or perish!

Well, I’m not in academia, so I won’t perish, but I have spent the last few months discovering some things about Giza which I didn’t post here. Instead I posted them as papers online (because I really don’t like the Academic Publishing business model, and probably would not have been accepted by any ‘proper’ journal anyway, because what I say is rather history-shattering…)

So the first paper was a round-up of stuff posted here, relating to the cubit:
The Beautiful Cubit System

While the other two are companion papers that rely on each other to a degree:
Diskerfery and the Four Main Giza Pyramids and
55,550 BCE and the 23 Stars of Giza

The important images are below, read the papers to get the full story 🙂

# Is this blatant language discrimination?

So do people speaking Arabic get 17, while those speaking English only get 16?

Oreo pack

# Truth in packaging

So it was Easter again, which means chocolates. Heaven only knows why.

Now we need truth in packaging.

Empty space.

# 34 Ways to calculate the Royal Cubit

Updated versions of the different ways of approximating the cubit. Also includes separate table for Grand Metre (1 plus royal cubit) == 1.5236…. == 1.524.

These are done with pi, phi, e, roots and powers (usually of basic primes), as well as ln, log, sin, cos and tan.

See square roots, cube roots and ln(4) for formulas not shown below.

Changelog at the bottom.See also The Magical Mystical Royal Cubit for the Pretty Picture version.

# The Spooky Stuff

To borrow a phrase from Robert Bauval, this falls under the Spooky Stuff category.

It is a very strange connection between the Grand Metre (1 + royal cubit), the base of the natural logarithm ⅇ, and the royal cubit as measured in inches.

Changelog:
2018-11-29: added Spooky Stuff 7 and 8

Royal cubit, e and inch

I have no explanation for this. It just highlights again the ancient origins of the metre, inch and royal cubit, and how they mysteriously link together with π and ⅇ. But what about φ you ask?…. here you go:

# The royal cubit and the stars

There are still some things that bother me about the Royal Cubit, in particular, why did they choose π/6, and why did they use it in preference to the metre.

Something interesting related to the first question has surfaced. Which may just be another random co-incidence like all the others, or maybe not.

First up, a reminder that the Royal Cubit is ⅙ of the circumference of a circle with diameter 1 metre, in other words the arc on a 360/6 = 60° segment, as follows:

As you may know, the ancient Egyptians were very fond of their ankh, which looks like this: