Phi Egg Construction Using 4 Arcs
In the classic fairytale story of Jack and the BeanStalk, Jack climbs the legendary beanstalk towering into the sky and manages to steal 3 items from the sleeping giant, during 3 successful climbs and escapades. They include:
1- Bag of Gold (symbolic of Wealth)
2- The Goose that lays Golden Eggs (symbolic of Creation)
3- Golden Harp (symbolic of Vibrational Frequencies of Sound that heals the human body and enhances our Astral Health).
Our concern here is with the Golden Egg of Creation and how its measurements approximate the Golden Phi Ratio (1:1.618).
Begin with a simple Unit Circle G-V-L-D.
In my chalkboard diagram, you can see that half the egg is from the unit semi-circle
G-O-L-D. This is our first of 4 Arcs to be drawn. This means the diameter of the Unit Circle G-O-D=1. By marking V as the nadir or topmost or northern point, we draw 2 lines, also equal to 1 unit, being B-D and C-G. To draw our next 2 arcs, we take the unit diameter of the circle GD and make 2 arcs from the end points, arcing them upwards from G to B and from point D to C. To draw our final and 4th Arc, place your compass on point V and open them up to either point B or C and draw this topmost and relatively small Arc. We now have laid our Egg.
Now to show that everything about the measurements of this Egg is Golden!
Let’s examine the ratio existing upon the main vertical line
L-O-V-E. This is the ratio of L-O-V-E / EO = 1.630… and this is approximately equal to The Golden Ratio or Phi of 1.618…
Let’s examine the ratio of the Long Axis L-O-V-E to the Short Axis G-O-D (Diameter Of Circle).
L-O-V-E / G-O-D = [(4 − root2) / 2] /1 = 1.293… is approximately equal to 1.272… which is The Golden Root. The world “root” here means “the square root of”.
The Golden Root 1.272… means that 1.272… x 1.272… = 1.618… aka Phi, and it is found in the height of the Great Pyramid, and exists as the USA letter size.
In conclusion, the Egg of Creation approximates the Harmonics of the universal constant of Phi: The Golden Ratio.
How did I get this value of 1.630…? It involves a bit of important algebra, but don’t be scared, embrace how important it is to solve the Mathematics of these Golden Curves of Creation. It merely involves a simple knowledge of Pythagoras’ Theorem, knowing that 3×3 + 4×4 = 5×5 we can apply this gift and start calculating.
We know that LV = 1 but we don’t know EV nor DV.
So let’s start with calculating DV by isolating the Right-Angled Triangle D-O-V and use Pythagoras’ Theorem:
VD^2 = (1/2)^2 + (1/2)^2
VD^2 = (1/4) + (1/4)
VD^2 = 1/2 or .5
VD = root1/2
VD = 1/root2 or root2/2 = .707
(This value of root2/2 could have been done quickly and mentally by knowing that the diameter of the Unit Square is root2 and since the sides of the square are really the radius of the circle, which is 1/2, we halve this value to get root2/2).
By knowing this value of VD, we now know the value of BV. This is because we know that BD is the same as the diameter of 1 unit, thus DV must be (1 – DV) = (1 − root2/2) = 1 − .707 … = .293…
By knowing BD = (1 − root2/2) we know that this value also equals EV and CV and that’s how we know the length of the whole vertical axis of L-O-V-E to be 1 + (1 − root2/2) = (4 − root2)/2 =1.293… approximately equal to the Golden Root. of 1.272…
To get the approximate Phi Ratio of 1.630 for the ratio of L-O-V-E / EO
= 1.630… is approximately equal to 1.618… here is the maths:
= [(4 − root2)/2] / [1/2 + (1 − root2/2)]
= [(4 − root2)/2] / [(3 − root2)/2]
= [(4 − root2)/2] x [2 / (3 − root2)]
= (4 − root2) / (3 − root2)
equals approximately Phi or 1.618…
These values of approximated Golden Ratios were first shown to me by Callum Coats, (author of Living Energies, and translator of Viktor Schauberger’s works) and it appears that the same calculations also appeared in early Russian texts around the 1970s. It would be good to know who first constructed this method of Construction the Golden Egg using only 4 Arcs. It may have been Kepler or Newton or Euler? Many mathematicians today have copied this method and some mathematicians have tried to make the unit diameter to equal Phi or 2x Phi but when I examined their calculations they were in error claiming that it was exactly Phi but it can only ever be an approximation to Phi. That is why I have given all the above algebraic calculations to prove that we only need to generate the Golden Egg from the Unit Circle: Unity Consciousness.
Actually, it’s real genesis is derived from the ultimate symbol of Creation, which is the Vesica Piscis: the Mother of All form dominated by the specific length of its Root 3 or 1.732…mandorla: the central almond shape of the 2 intersecting circles.
In summary, our method here of the 4 Arc construction is really derived from the mandorla of the Vesica Pisces.
Mathematicians and Geometers have also generated the Phi Egg cleverly from the Pentagon, since the Pentagon is all in the Phi Ratio, it makes sense that there would exist a method of construction to create the Golden Egg.
There exist diagrams shows the apparent use of the 36, 72 and the 108 degrees which are of course the angles inside the Golden Isosceles Triangle.
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