Golden Egg
- Posted by Jain 108
- Categories Sacred Geometry
- Date October 4, 2021
- Comments 3 comments

GOLDEN EGG
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.

Extra Notes:
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)
= 1.63060
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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3 Comments
Thank you so much!
Love your work!
I am so excited to find this article! My husband tells our three year old son Jack and the Beanstalk often before he goes to sleep. I’m sharing this with so many parents who I thought could appreciate it. This may be challenging for some to understand, but I believe they can get it with some interest and effort.
Wonderful gift of pure Charity to share this, thank you. On one of my many times in India, it was stated during a Satsang that the first Act of Charity is speaking to someone. This could not be done to a greater degree in my experience than that which you have done at Jain 108. This is the Real pandemic shot in the arm, My first Sacred Geometry studies were at the Prince’s School of Traditional Art based on the on Pythagorean/Platonic Geometry. My personal thesis commenced within an architectural environment and developed through appreciation and intuition the notions of Constant and Linear time frames. This reference base allows a personal grounding and grasping of your work here. My subsequent belief is that there is a superfluity of linear time frame activity abounding around the planet Earth at the moment, that this has an effect on the weather systems which will through its own intelligence try to rectify the climatic imbalances by whatever means it has at its own disposal. In other words reduce the over exertion of linear time frame activity. Another belief is that the virus finds a natural home within places of similar movements, ie metabolic building types, aeroplane flight, increased turnover of daily life through labour saving devices unwittingly perpetuating the negative effects of the same, etc. A simple example is the traditional round clock face with two hands anchored in the centre, this transfers the epitome of linear time into a constant time Frame mode. Whereas the digital “clock face” square with endless repeating numbers as if in a line seems to speed up the expense of time as a runaway train of life. Both of these have their own separate psychological impact on the mind. The most important application of course is to the weather patterns. If anyone would like to contribute to and help develop this approach to Climate Change (which expression has now acquired quite a new opposite meaning understood through the Fibonacci wheels of Jain 108) (!!!) I assume my contact details can be through this post on the Jain 108 Academy. Architecture of course traditionally resides within the Constant time framework and as such starts to address the imbalances of the Linear, with the notions of types of road networks it will be seen that straight is quite different to hairpin bends. Again, A big thank to Jain 108.