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Author Topic: Sacred Geometry  (Read 6178 times)

Gnowan

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Re: Sacred Geometry
« Reply #15 on: January 19, 2016, 03:10:51 pm »
Quote from: Aster Breo;185426
Welcome to TC!



Thank you for the welcome!

A book I would recommend for you is Divine Harmony.  It's 159 p. "Reader's Digest" version of Pythagoras' life and teachings.  Easy read but still pretty thorough.

I hope you enjoy the short video.  The creator did a beautiful job of pictorially depicting the relationships of phi.

And thank you for the link to the book.  I will look that up!

~Gnowan

Altair

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Re: Sacred Geometry
« Reply #16 on: January 21, 2016, 08:40:55 pm »
Quote from: Gnowan;185414
I've been reading through a lot of the threads here, but this thread was the one that made me register.

I love sacred geometry and spend a lot of time with Pythagoras.  I read the article you linked to as well as your article here.  I understand you also wrote a book on the subject?  I'd be interested in reading that as well.

I've always believed that mathematics is the language of God and I've been a pattern-seeker from childhood.

I've seen different pictorial versions of the monad through decad.  The Pythagorean Sourcebook and Library differs significantly from those you showed.  I've just always found it fascinating using geometry to convey ideas and of course, numbers were so much more to the Pythagoreans than mere counters.

Some of the things I've played with is moving things from 2d to 3d and what symbols or shapes emerge.  I've also played with Pythagoras' Table of Opposites, taking them into 3d, showing that in 3d, it boils down to the relative position of the viewer.  Another thing I've played with is working with the Tetraktys and the Kabbalah in 3d forms.

When I was in organic chemistry in college, I had the molecule models but I think I spent more time using them exploring sacred geometry.  I couldn't do as much as I wanted because the angles off the carbon atom would only do the angles of the tetrahedron.  When I bought my son Magnetix (the magnetic sticks and ball bearings), I was in heaven playing with SG.

Something kind of cool that some pagans can use for an on-the-go altar is to get a set of gaming dice that has the platonic solids.  The shapes correspond to the the points of the pentacle:  tetrahedron--fire; cube--earth; octahedron--air; dodecahedron--aither; and icosahedron--water.

Well, as you can tell, I love this stuff and would love to discuss this more if y'all are interested.

Oh, and speaking of phi, this is an elegant video of the Golden Key I think you'll like:



~Gnowan

 
Thanks for this post, Gnowan, as I've learned all kinds of things from it. The Tetraktys in particular resonates with my metaphysical worldview.

The decad brings to mind the related but simpler hexagon within a circle. (Does that form have a special name?) I used that to create my personal sigil, which most people mistake for a rune but is actually a stylized bird in flight, using the geometric symbolism of the circle-circumscribed hexagon to say something about myself. I lifted the three up-pointing triangles to be found in the hexagon to form the wings and tail; up-pointing triangles being associated with masculine energy. The fact their points fall on the circle is my way of saying I strive to be in touch with the divine.





As for the video, some of it worked for me (the established mathematics: the recursive phi relationships, the golden spirals, etc.), some of it didn't (the phi relationships supposedly imposed on organisms, etc.--I find myself much like the Fibonacci Flim-Flam guy on that score). But all of it was beautiful to look at!
The first song sets the wheel in motion / The second is a song of love / The third song tells of Her devotion / The fourth cries joy from the sky above
The fifth song binds our fate to silence / and bids us live each moment well / The sixth unleashes rage and violence / The seventh song has truth to tell
The last song echoes through the ages / to ask its question all night long / And close the circle on these pages / These, the metamythos songs

Gnowan

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Re: Sacred Geometry
« Reply #17 on: January 22, 2016, 05:03:27 am »
Quote from: Altair;185564
Thanks for this post, Gnowan, as I've learned all kinds of things from it. The Tetraktys in particular resonates with my metaphysical worldview.

The decad brings to mind the related but simpler hexagon within a circle. (Does that form have a special name?) I used that to create my personal sigil, which most people mistake for a rune but is actually a stylized bird in flight, using the geometric symbolism of the circle-circumscribed hexagon to say something about myself. I lifted the three up-pointing triangles to be found in the hexagon to form the wings and tail; up-pointing triangles being associated with masculine energy. The fact their points fall on the circle is my way of saying I strive to be in touch with the divine.





As for the video, some of it worked for me (the established mathematics: the recursive phi relationships, the golden spirals, etc.), some of it didn't (the phi relationships supposedly imposed on organisms, etc.--I find myself much like the Fibonacci Flim-Flam guy on that score). But all of it was beautiful to look at!

 
Yeah, the nature stuff was definitely flim-flam.  But the beauty of the original part of the video was so elegant.  I love mathematics and I don't care about how the real world fits in.  When it works, it truly is elegant.

Pythagoras stated that:

Arithmetic = Number in itself
Geometry = Number in space
Music or Harmonics = Number in time
Astronomy = Number in space and time

I've always loved math.  I never liked applied math.  I've just always found the beauty in numbers.  Maybe I wore a toga in my previous lives!

Looking at your sig, I'd like to see it in a circle (where YOU see it in the circle) so I can see what angles you chose and how they fit into the circle.  Triangles and circles... this is what we're made of.

Gnowan

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Re: Sacred Geometry
« Reply #18 on: January 22, 2016, 05:17:18 am »
Quote from: Altair;185564
Thanks for this post, Gnowan, as I've learned all kinds of things from it. The Tetraktys in particular resonates with my metaphysical worldview.

The decad brings to mind the related but simpler hexagon within a circle. (Does that form have a special name?) I used that to create my personal sigil, which most people mistake for a rune but is actually a stylized bird in flight, using the geometric symbolism of the circle-circumscribed hexagon to say something about myself. I lifted the three up-pointing triangles to be found in the hexagon to form the wings and tail; up-pointing triangles being associated with masculine energy. The fact their points fall on the circle is my way of saying I strive to be in touch with the divine.





As for the video, some of it worked for me (the established mathematics: the recursive phi relationships, the golden spirals, etc.), some of it didn't (the phi relationships supposedly imposed on organisms, etc.--I find myself much like the Fibonacci Flim-Flam guy on that score). But all of it was beautiful to look at!

 
The closest shape I see for this is an icosphere.  Again, it's all about the triangles.

Altair

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Re: Sacred Geometry
« Reply #19 on: January 22, 2016, 11:03:04 am »
Quote from: Gnowan;185594

Pythagoras stated that:

Arithmetic = Number in itself
Geometry = Number in space
Music or Harmonics = Number in time
Astronomy = Number in space and time




That's beautifully stated and has the ring of truth to me. But I'm still pondering it to see if it holds up to harder scrutiny (particularly the last one, astronomy). But certainly on a poetic level (and yes, I think there can be poetry in math), it works.

Have you considered adding to the sacred geometry wiki here at The Cauldron? Some of the stuff you're familiar with may fall outside of geometry strictly speaking, but it's definitely relevant to math mysticism (for lack of a better term) more generally.

Maybe a "Beyond Sacred Geometry" section on Pythagorean concepts like the tetraktys?
The first song sets the wheel in motion / The second is a song of love / The third song tells of Her devotion / The fourth cries joy from the sky above
The fifth song binds our fate to silence / and bids us live each moment well / The sixth unleashes rage and violence / The seventh song has truth to tell
The last song echoes through the ages / to ask its question all night long / And close the circle on these pages / These, the metamythos songs

Gnowan

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Re: Sacred Geometry
« Reply #20 on: January 23, 2016, 08:23:16 pm »
Quote from: Altair;185610
That's beautifully stated and has the ring of truth to me. But I'm still pondering it to see if it holds up to harder scrutiny (particularly the last one, astronomy). But certainly on a poetic level (and yes, I think there can be poetry in math), it works.


I agree.  Pure mathematics is poetry.  It's funny because I never really enjoyed applied math, like physics.  Physics is still magic to me.  I just love the beauty in number. In this life, I explored number in nature.  I'm hoping that in my next life, I'll be given a chance to explore number in both astrophysics and quantum mechanics.

At 50, I just don't think I have enough time left to even scratch that surface!

Quote
Have you considered adding to the sacred geometry wiki here at The Cauldron? Some of the stuff you're familiar with may fall outside of geometry strictly speaking, but it's definitely relevant to math mysticism (for lack of a better term) more generally.

Maybe a "Beyond Sacred Geometry" section on Pythagorean concepts like the tetraktys?


No, I haven't.  Didn't even know I could.  But I'm still new here and from what I've read, there's a lot of knowledgeable folks here.  I haven't even begun to peruse the articles here, and there are so many!  I'm very excited about that.  Down the road, if there's anyone that would like to learn more about what I've learned, then I'd love to share.

(btw, have you ever typed the word "knowledgeable?"  Damn!  There's a lot of letters in that one word!!) :eek:

~Gnowan

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