Part 2: The Golden Number 1.618 🌀 (a.k.a. the Phi Ratio) in Sacred Geometry. (With Original Sketches.)

in #mathematics8 years ago

Because the construction of Sacred Geometry loosely follows certain "rules," any accurate variations will contain the Phi ratio (1:1.618) all throughout it. One of the hidden places to find it is within the Platonic Solids, but in an indirect way. The following sketch shows the 5 solids themselves, and a couple of details about each of them.


(Below) To find (just one of the places) the Phi Ratio is hidden within a Dodecahedron, build 3 intersecting rectangles such that each corner of each rectangle meets the very centre of one plane of the dodeca.


(Below) Same idea to find the Phi Ratio in an Icosahedron, except build the rectangles from the vertices rather than the planes. These (and those in the dodeca,) are all called "Golden Rectangles," where their lengths are 1.618, and widths are 1 unit of measure...


If you didn't catch it yet, for a quick glance, please check out Part 1: The Golden Number 1.618 in Sacred Geometry...

Please upvote and follow cause there's 'lots more Sacred Geometry stuff to come..! 

Thanks :)

Melech מלך ben Chaya, @inphiknit 

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I'm digging the metatron's cube/tetrahedron! I've always been fascinated by sacred geometry

Amazing! I'm thrilled you can infer the shape the 3 rectangles take! "The unseen energies in a vessel..."

I have been researching sacred geometry since the 90's... There's a beauty in that part of esoterica that I can't resist :) I also like the seed of life/tree of life drawing in the first post.

Isn't it endlessly amazing?! I have a bunch of sketches and analyses of the seed, fruit and tree. Maybe I'll write up something about those ones next! Glad you enjoy!

There's definitely no shortage of knowledge! Have you heard of a Merkaba?

Indeed! It's part of Jewish prayers... Merkava means "chariot" in Hebrew. And it's also the shape of a healthy aura, a double tetrahedron, aka a 3D Jewish star... I hope to soon share some of those sketches of mine as well!^^

These sketches are great! Are they yours? And do yo know how to enhance the contrast so the text/images boldly contrast the background?

They are mine, thank you so much!

I suppose that either my skills, or my editing software is no good cause I couldn't seem to get better contrast as you rightly suggest. I'll have to see what I can do for next time cause I have many more pencil sketches... Any suggestion for decent, free, editing tools? Thanks!

I use Gimp. It's free and powerful enough to do most of what photoshop does. If you want, I would be happy to edit these images for you. Just direct message me with your email in Steemit Chat and I can send you edited images.

So generous of you! But since I have more sketches to come I should get Gimp like you say, and watch some tutorials and practice. I really appreciate the offer though^^

Great: ) The easiest way to edit pencil sketches like these in Gimp is to use the "cartoon" artistic filter. This adds black ink to the grey pencil lines, which makes them stand out.

Very good! I will have to fiddle with it on Sunday... Thanks! You give me hope! lol!

Yes! In esoterica, it is also believed to be a kind of spiritual vehicle, connecting a person to the higher realms.

I will say that you should most definitely share those sketches!

You give me encouragement! Thanks :)

May each of us explore those higher realms...

Thanks for upvoting my joke just now. Upvoted.
Good day.

I liked the skeleton ones^^

Thanks and good day for you also :)

I dunno if there is a better compliment!? Thanks so much!

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