Showing posts with label Matila Ghyka. Show all posts
Showing posts with label Matila Ghyka. Show all posts

Tuesday, June 25, 2024

The Dürer Files: A Series Introduction

Nemesis or The Great Fortuna, Albrecht Dürer - copper-plate engraving - 1502.
Geometry: 2024, DS.


"Precariously balanced on an unsteady sphere, Albrecht Dürer’s nude female figure of Fortuna conveys a sense of the instability and unpredictability of fortune. The artist’s treatment of the subject derives from a Latin poem by the Italian Renaissance poet and humanist Angelo Poliziano (1454–1494), who describes fortune as the “power to crush the arrogant minds and triumphs of men and to confound their too ambitious plans.” With her bridle and cup, Dürer’s figure—in contrast to misogynistic portrayals of her by a later generation of artists—also embodies the virtues and rewards of temperance."

- A nice assessment of Albrecht Dürer’s Nemesis image (inset left & above) via this NY Public Library page. It seems cynical that Dürer should symbolically combine the word nemesis - meaning rival, enemy or punisher - with the idea of fortune (fortuna) together in one image. Was he referring to the idea of fate as karma? In reality, the goddess Nemesis and the goddess Fortuna are mythologically and symbolically connected and it is more than likely he created his own hybrid.

It actually took me several days to see the spiral in Nemesis, the Greater Fortuna... which is astounding considering what an awesome spiral it is. It's a dialing spiral but of a slightly different kind than the one I'm familiar with. You can create a small animation with it growing in size and spreading over the image as it revolves around one central point (in the vicinity of her elbow). In the fuller image - shown above with the phi-shell - the spiral continues into the landscape.

As for the image itself, the figure of Nemesis/Fortuna exhibits a female body type humanity rarely sees anymore. We probably stopped seeing her around the same time Dürer created her, at the turn of the 16th century. She is an older woman; you can tell by her diminishing face and thinning hair... unlike Durer's (1496) Little (or Lesser) Fortuna - inset right - the younger Fortuna (with a lesser spiral) and an enigmatic image the size (and dimensions) of a Tarot card.*

But, the older Fortuna - who has in her maturity taken on the role of Nemesis, a "formidable and usually victorious rival or opponent" - reveals a body with contours which, while not aesthetically correct in our times, has retained its hard-bodied youthfulness. She has powerful wings and holds a large chalice. Traditionally, Fortuna, is shown holding a cornucopia but, as mentioned, Dürer has created his own Fortuna hybrid. But, then, it seems he rarely sticks with the "tried and true," preferring his own innovations. In any case, Nemesis/Fortuna is a force to be reckoned with. She may be offering the chalice - the cup of plenty - but, we are reminded that she is also carrying a horse's bridle. In other words, while we may succeed  above and beyond our wildest dreams, our egotistical aspirations are kept in check by this goddess. Either that, or she represents a stereotypical negative female archetype.

Incidentally, Nemesis is much more massive figure than she appears at first glance. An enlargement of the little Italian town which she overlooks (as she balances upon her sphere) can be found here.

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By now, I should know better than to make promises regarding the future I can't keep... but, in regards to my previous projections made in my last post, when and where I envisioned one more addition to the Dürer series, I am now here to report that my plans have had to change.

Yes, while in the midst of feverishly writing the proposed post (Dürer Part III)  I initially had in mind, I was suddenly presented with far more bits of information than I could possibly process in one post.  An example would be the Nemesis image with it's astounding spiral (above). But, there were other images found as well, deserving some special consideration... such as Dürer's diagram of his 'Schneckenlinie' ('snail-line') or Logarithmic spiral - (inset left) - a spiral which, oddly, almost appears as if it's in perspective. Sadly, I cannot translate the text. (If you can, please inform us!)

In any case, after the shock wore off and my first attempts were put aside, I decided the new information required a new series... The Dürer Files, a new testament of sorts. Moreover, it would have to be broken up into bits... thereby requiring shorter posts and less time, or, seriously, I would never get any of it online. So, this is the Introduction. The series contents will (tentatively) include  the following sections:





The Dürer Files: 2. Soli Deo Gloria (Glory only to God)

The Dürer Files: 3. Maximillian & The Bauhütte

The Dürer Files: 4. Dürer & the Phi Goddess

The Dürer Files: 5. Dürer & the Black Madonna

The Dürer Files: 6. Dürer & the Whale


(Note: This Intro will also serve as the Dürer Files series Table of Contents page with links becoming active as the posts appear. The links will also appear in the Golden Series content post (click the Golden Snail on the sidebar.) (Know, however, that the titles and order in which they appear may change.)

(Note 2: I have already added an extra section... and 2 more - regarding phi ovoids - are likely to follow.)

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(More below the jump break...)

Saturday, May 18, 2024

The Mirror of Venus: 5 Keys

The Mirror of Venus: The 5 Keys - 2023, DS.


"Moving now from the decad to its half - we meet one of the most brilliant personalities of the 'society of numbers;' the pentad and the characteristics of the number five. In arithmology or number mysticism the number five partially pertains to the essence and importance of the decad as being its half and its condensed image, but it is also the
gamos, Aphrodite's number as goddess of the fruitful union, the generatrix of love, and the abstract archetype of reproduction."

- From the 1931 investigation of phi and the pentagram: The Golden Number: Pythagorean Rites and Rhythms in the Development of Western Civilization, written by Matila Ghyka, a book I've just read recently. The above quote is the first of five similar brief references to Aphrodite and the pentagram found throughout the book; three of which combine Aphrodite with the Egyptian goddess Hathor.*

But, while Ghyka acknowledges an ancient connection between Venus/Aphrodite and the pentagram, it seems to rest upon the idea of marriage, a "fruitful" union... conjugal bliss. He calls this incarnation of Aphrodite "Gamelia," that is, "of the wedding." But, Gamelia was a name given to many, if not all the Olympian gods; specifically Hera, wife of Zeus; it wasn't amongst Aphrodite's major titles, and, regarding the pentagram, is too literal a translation of the "love goddess" and is, ultimately, a red herring.
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Inset left, above: the contemplative Venus of Arles... (seemingly) holding an apple up to her broken-off, handheld mirror. Inset right,  is an actual bronze mirror (Greek, circa 460 BC) supported by the figure of Aphrodite who is holding a dove, while 2 winged erotes stretch their hands towards a point centered above her head. If you connect the point at the top of the goddess's head with the two doves perched above on the mirror, you'll have an inverted golden triangle. Below, inset left, is another similar bronze mirror from the same period, currently in the Met Museum. This one features dogs chasing hares; the hare is another Aphrodite symbol. Hint: we've seen the dogs and the hares before.**
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So, mythologically speaking, marriage was never known to be Aphrodite's strong point... although love, both carnal and celestial, was. The Venus of the pentagram, however, is significantly more complex, and we have to approach her from a higher ground, so to speak. From Theoi we have:

"According to the cosmogonic views of the nature of Aphrodite, she was the personification of the generative powers of nature, and the mother of all living beings. A trace of this notion seems to be contained in the tradition that in the contest of Typhon with the gods, Aphrodite metamorphosed herself into a fish, which animal was considered to possess the greatest generative powers." 

And, there is so much more. One might say, Ghyka was trivializing the Venus/Aphrodite connection. While he inserts the word gamos in his brief comment, he neglects the word heiros (sacred). Nor does he infer in any way that the "wedding" is, in essence, chymical. So, my strongest impression of the book is that the deliberate omissions Ghyka (amusingly) accused other writers of making - including Vitruvius - might've been tip-offs to those of his own. That being said, he probably connects more esoteric "dots" in the pentagram's long journey within the pages of this book than you'll find anywhere else. But, keep in mind, the author may be sticking to traditional "fraternal" codes of secrecy all the while... something also mentioned quite often in his book.

"The mirror also, in turn, symbolizes revelation and truth: the mirror often shows the face, and the eyes, as shown in the painting Venus At Her Mirror or Rokeby Venus or Venus-Aphrodite by Diego Rodriguez de Silva y Velazquez, in which the goddess gazes into the mirror with only her face revealed. The eyes, in turn, are the paths to truth: they are the “window to the soul”, or, ever-more interestingly, the “mirror of the soul.” Aphrodite, in gazing into the mirror, is therefore not merely enjoying the sight of her own beauty, but is acknowledging the truth of all that resides within her – for, as Aphrodite Ourania, she is that which keeps together the entire cosmos and continues the survival of all."

- A quote found here, introducing us to to the most important facet of Aphrodite: Aphrodite Ourania or Urania, the celestial Aphrodite, and the Venus/Aphrodite who will concern us most in upcoming posts. She shares some of the attributes of Urania, the Greek muse of astronomy and the stars, in some cases mistakenly,  but, in others, possibly an indication of the evolution of Pentagonal Venus and the golden meme.

***

The diagram above, a sort of gateway into the Venus subset of the golden meme, is already somewhat obsolete regarding the pentagonal journey I unintentionally began taking around Thursday, April 4, 2019, after my vision of the rose pentacle. I wrote at the time that I anticipated something "larger." But, really, I had no idea of the many roads left to travel. Needless to say, Venus/Aphrodite had her foot in the door from Day 1.

I have since learned that the Venus pentagram, in its entirety, is not merely one arrangement of five symbols but, possibly, an arrangement of 10. Moreover, each of first five symbols composing the "mirror" represent metaphorical hallways with numerous doors. In other words, the Venus pentagram remains true to the pentagram's nature - it's a fractal - very possibly as colorfully layered as (what appears to be) a phi-based Julia set, inset right. Additionally, Venus/Aphrodite is not merely 2 goddesses in one... she's worn many hats over the course of her very long career and has several hybrid forms as well, so, it's a very tangled web, indeed. 

In spite of all of the above, the first five symbols I'd originally chosen for the diagram still stand, but, while I had hoped to address each of them briefly here, I've come to realize it isn't presently feasible. There is no "brief" in this discussion. 

As for now, I will include in this post some bits which have already been written regarding several symbols in the diagram.

(Note: I was originally going to conclude this post with one more bit of information via Prince Ghyka which might interest us, and it concerns Albrecht Dürer. This "bit of information" was eventually accompanied by other bits of information to necessitate adding a dedicated Part III to Albrecht Dürer and the Divine Ratio Parts 1 & II. As I said, there is no "brief" in this discussion. Stay tuned.)

(Continued after the jump...)