Mandelbrot Set, Fibonacci Numbers, Fractals, and perhaps a Master Key shape, Plato and Astrology.

[Archaeoastronomer]

I did start a conversation with Lynne on this which i will continue below, please note i don't think my birth chart is special at all but by studying it i found a puzzle that needed solving.
Pentacles do give protection, and i have investigated a lot of frightening things, so the only reason i had nearly two of these on my birth chart were for protection.
But the uncompleted pentacle was attached to the Moons mean south node which looks like a horse shoe symbol on chart, this means that i was studying the same thing in a previous life, if you believe in reincarnation.
If you have these angles they are called Quintile 72* aspects and Bi-Quintiles 144* degrees.
Please note as a small boy i have always been interested in the Greek philosophy masters, like Plato's Platonic solids and Pythagoras.
Please don't think i'm being patronizing by trying to explain this as simply as i can as it is very complicated to understand.
Platonic solids below, however Plato thought that the Dodecahedron was used by the creator in making up the Cosmos,

Platonic solid - Wikipedia

en.wikipedia.org

The report below will take a lot longer to prove but some astronomers think that there could be numbers in the the Cosmos shaped like a dodecahedron.

Is the universe a dodecahedron? – Physics World

Cosmologists might have to rethink their most basic ideas about space

physicsworld.com

Pentacles, Pentagons and Dodecahedrons are all from the same family in Sacred Geometry.
Rather than analyzing the chart, which almost all astrologers can't , i thought i would just show how it effected me as a puzzle solver, unless i'm kidding myself LOL.

 

[Archaeoastronomer]

Now to show a 3D picture of a Dodecahedron, you have to have two Decagons or two exactly opposite Pentagons being 36 degrees apart, i'll use a link as big pictures are not liked on forum, which i agree with:-

https://wintertriangle.files.wordpress.com/2011/12/picture-165-50.jpg

In Sacred Geometry the Human form is shown in the same way:-

https://files.abovetopsecret.com/files/img/up5c6ed76f.png

Number Five (5) and Phi - The Golden Ratio: Phi, 1.618

The number 5 is intrinsically related to Phi and the Fibonacci series. Phi can be derived from several formulas based on the number 5. The most traditional, based on the geometric construction of phi is this: This formula for phi can also be expressed all in fives as: Φ = 5 ^ .5 * .5 + .5...

www.goldennumber.net

About the humble Quintile i can only leave some poetry, however i don't know the author:-

I am a ratio notice by few,
a pyramid, a flower, in math and in you.
A golden mediocrity in planets and space,
Fibonicci's forty in my fifteenth place.
Although quite small, i stretch to infinity,
the ancient Greeks raised me up to divinity.
Fraternities exploit me without knowing my meaning,
some people maintain i have a mystical leaning!
Even our DNA does show a similar feature:-

https://files.abovetopsecret.com/files/img/ox5c6ed4ee.png

However there is another shape that the Golden Ratio makes called a Golden Spiral, that i will look at next.

Golden Spiral -- from Wolfram MathWorld

Successive points dividing a golden rectangle into squares lie on a logarithmic spiral (Wells 1991, p. 39; Livio 2002, p. 119) which is sometimes known as the golden spiral. In the Season 4 episode "Masterpiece" (2008) of the CBS-TV crime drama "Criminal Minds," the agents of the FBI Behavioral...

mathworld.wolfram.com

 

[Archaeoastronomer]

I first had a thought when i was studying the retrograde Motion of Venus that produces a rose, pentacle and heart, please note this is not how the Venus orbit actually behaves, but how it looks from Earth:-

Skyscript: Venus, the Heart and the Rose by Nick Kollerstrom

Astrological reflections on the astronomical basis of Venus

www.skyscript.co.uk

The Logarithmic spiral is related to the Golden Spiral and you can see how this vertex behaves in the Universe and storms etc.

Logarithmic spiral - Wikipedia

en.wikipedia.org

Golden spiral - Wikipedia

en.wikipedia.org

Golden ratio - Wikipedia

en.wikipedia.org

I thought i would join the Golden Spiral up with it's mirror image but then i become stuck for several years, graphs below:-

https://files.abovetopsecret.com/files/img/oy5bcf6206.png

 

[Archaeoastronomer]

After a few years i moved on to the Mandelbrot Set, video below i hope:-

Thumbprint of God Mandelbrot arthur c clark - Google Search

Mandelbrot set - Wikipedia

en.wikipedia.org

I will leave more till later, i'm getting tired, but to see complex numbers on computer, you always come back to the heart and circle, and its black so you can't get inside, but perhaps we can!
Get ready for a trip:-

 

[Archaeoastronomer]

A cardioid envelope can have many envelopes , but by luck a math forum did supply me with the right amount, that had a circle and heart shape, the envelopes cut through the circle at 10 equal points:-

Cardioid -- from Wolfram MathWorld

The curve given by the polar equation r=a(1-costheta), (1) sometimes also written r=2b(1-costheta), (2) where b=a/2. The cardioid has Cartesian equation (x^2+y^2+ax)^2=a^2(x^2+y^2), (3) and the parametric equations x = acost(1-cost) (4) y = asint(1-cost). (5) The cardioid is a...

mathworld.wolfram.com

The envelope cardioid is the second diagram down.
To make this bigger i'm showing on link:-

https://files.abovetopsecret.com/files/img/ik5c9b7a25.png

So we can show the ten points within a circle now,

To fit all aspects of 5th Elements, Harmonics and Mandelbrot Set into one shape, although the inner and outer circle is different, we can do this with an Envelope Cardioid, graph below:-

https://files.abovetopsecret.com/files/ ... e80529.png

Any Questions?

 

[Archaeoastronomer]

More on Phi being Fibonacci numbers and Mandelbrot Set:-

 

[Lynne]

Archie this is a fascinating thread, and it will take some time to study, I am sure others will enjoy it too.

 

[Archaeoastronomer]

How this works with math is, it looks like our creator was a mathematician, and his shape is a cadioid or heart.
This is the symbol of love, which is the basis of your energy Lynne

 

[Lynne]

How this works with math is, it looks like our creator was a mathematician, and his shape is a cadioid or heart.
This is the symbol of love, which is the basis of your energy Lynne

Thank you, Archi, that simplifies it for me. I too agree that God created everything to fit together perfectly, and math is the basis.

 

[Archaeoastronomer]

Hi Lynne,
Link below will interest you:-

https://www.mathnasium.com/blog/14-interesting-examples-of-the-golden-ratio-in-nature