Albrecht Dürer and the Divine Ratio (Part I)

Melencolia I - copper engraving - 1514, Albrecht Dürer. Geometry: 2022, DS

"Melencolia I is a large 1514 engraving by the German Renaissance artist Albrecht Dürer. The print's central subject is an enigmatic and gloomy winged female figure thought to be a personification of melancholia – melancholy. Holding her head in her hand, she stares past the busy scene in front of her. The area is strewn with symbols and tools associated with craft and carpentry, including an hourglass, weighing scales, a hand plane, a claw hammer, and a saw. Other objects relate to alchemy, geometry or numerology. Behind the figure is a structure with an embedded magic square, and a ladder leading beyond the frame. The sky contains a rainbow, a comet or planet, and a bat-like creature bearing the text that has become the print's title.

The art historian Erwin Panofsky... wrote that 'the influence of Dürer's Melencolia I—the first representation in which the concept of melancholy was transplanted from the plane of scientific and pseudo-scientific folklore to the level of art—extended all over the European continent and lasted for more than three centuries.'"

- Excerpt from Wiki's entry for Dürer's Melencolia 1 (shown above). While many art historians seem to unanimously assume the robed, angelic figure is of the female gender, the figure is most assuredly male, and, judging by its facial expression, Dürer himself. Inset right: an early self-portrait (executed in 1498 at age 26) of the fashionable - but seriously introspective - young dude.

Regarding the central "ladder leading beyond the frame," note that it forms the apex of a large golden triangle.

Note: To give an example of how deeply this image continues to resonate over the years, Wiki mentions Peter-Klaus Schuster's 1991 publication, Melencolia I: Dürers Denkbild, an exhaustive history of the print's interpretation in two volumes.

"It should be noted that even Leonardo was unable to apply his own proportion and anatomical studies to his work given he painted little, or not at all, during the last decade of his life. Hence, the applicability of the study of proportion to practicing artists was still unclear. Dürer would spend nearly three decades working to remedy this ambiguity. He completed two treatises that would be the dominant basis for art theory in Renaissance Germany; their popularity and influence spreading with their subsequent translations. In 1525, Underweysung der Messung, or Four Books on Measurement, was published as a practical guide to geometric perspective for students of the arts; and, in 1528, Vier Bücher von Menschlicher, or Four Books on Human Proportion, appeared a few months after his death. Taken together, the studies illustrated the Renaissance belief that mathematics formed the firm basis and grounding for the arts."

- Excerpt from an commentary regarding Dürer's Vier Bücher von Menschlicher by Giovanni Paolo Gallucci found here. Inset left is one of Dürer's diagrams - a construction of a spiral - found in his Four Books on Measurement.

"There is much speculation as to why Dürer chose this construction rather than Euclid's construction which uses the 'golden ratio' proportion. The speculation stems from the fact that Dürer makes no mention of the golden ratio, although he was no doubt aware of its use in Italian art. It may be that Dürer simply did not feel comfortable with the precepts of the 'divine' ratio. The German architects had their own 'divine' ratio which was the vesica piscis ratio of  √ 1:3. In addition Ptolemy's construction is simpler than Euclid's and these constructions were just a preliminary step in his program."

- Excerpt - along with Dürer's diagram (inset left) - from The Polygons of Albrecht Dürer by G.H. Hughes. (.pdf)

Regarding the diagram, the pentagon is constructed within the mason's "Sacred" tradition utilizing the Vesica Piscis as its generative source.

"Divine truth alone, and no other, contains the secret of what the most beautiful form and measure may be."

- Albrecht Dürer, from his essay Discourse on A
esthetics published as a conclusion to the Third Book of his proportion studies. (See the Giovanni Paolo Gallucci link for the full quote.)

"The greatest miracle that I have seen in all my days, happened in the year 1503, when crosses fell on many people, especially on children more than on other people. Among them all, I once saw one in the shape which I have drawn here; it fell on the linen blouse of Eyer's maid, who was in the Pirckheimer's back-house. And she was so upset about it that she cried and wailed; for she thought she was going to die of it.

Also, I saw a comet in the heavens."

 - Albrecht Dürer from the last page of his 1503 Gedenkbuch regarding an episode of a phenomenon known as Red (or Blood) Rain. Dürer's drawing can be found on this page.

***

(Note: Originally, the title of this post and the title of the URL were one and the same. That is, till I realized that Melancolia I was one of three designated Master Prints. I am not quite sure who did the designation, but, after reviewing the two other prints involved, it seemed all three might have what I (now) refer to as hidden, occulted, or passive GTS. Unlike the more outrageously active spirals - e.g., those of Caravaggio, which seem as if they were deliberately designed - the passive spirals almost seem to creep into an image with the artist unaware. The thing is, it is logical to assume Albrecht Dürer did know about the golden ratio. Alas, the jury is still out.)

Albrecht Dürer (May 21,1471 - April 6 1528) is, in his own quiet way, possibly one of the most popular artists of the Renaissance period; certainly one of the most prominent. (You know you've arrived when there's a conspiracy blog written about your life!) After all, unlike many other artists, he kept a meticulously written record of his daily affairs. And, then, there were those self portraits... even while he was ill and nearing the end of his life, he sketched his ravaged body for posterity. Perhaps, he just desperately needed to be remembered. But, why is it that all of his self-exposure seems, in the end, superficial? Because, regardless of what we learn, Dürer remains as firmly screwed into his shell as the most resistant of mollusks; he is an enigma even unto himself. In fact, his vital nature seems very much like another cryptic element found in one of his most popular images: Melencolia I (below the jump). Observe...

The Golden Series - Contents (Updated 3/16/24)

 The Golden Series

Phi, the Pentagram & the Golden Spiral

(An informal investigation regarding the role of the pentagonal golden spiral in art history from the ancient, classical period till the present day... observations and discoveries recorded in real time.)

Posts are listed from earliest to most recent.

Reflections on Water

Fractal Unit 5

Botticelli & the Spiral

2022 - A Tentative New Year

The Power of Love

Nicolaes Lachtropius & the Golden Spiral

Five of One, One of Five

Judith Leyster and a Double Golden Spiral

Carlo Crivelli and the "Queen of Heaven"

Caravaggio's "Golden" Boy(s)

The Golden Egg

"Da Vinci" and Other Codes - Part 1

"Da Vinci" and Other Codes - Part 2

A Virtual "Can of Worms"

Albrecht Dürer and the Divine Ratio (Part I)

Albrecht Dürer and the Divine Ratio (Part II) - Dürer Reconsidered

In the Shadows of a Golden Age: the Bentvueghels (Part I)

In the Shadows of a Golden Age: the Bentvueghels (Part II)

Judith Leyster Saves the Day (An Addendum of Sorts)

In the Shadows of a Golden Age: the Bentvueghels - Part III

The Gentileschi Spirals... and a series Afterword

Chasing Ancient Pentagrams: the Roman Dodecahedrons

Samhain, 2022; Leonora Carrington and the Philosophic Egg

Chasing Ancient Pentagrams Part II: The Quintessence: The Egyptian Duat

Chasing Ancient Pentagrams Part III: The Quintessence -The Fellowship of Pentalpha

Hygeia & the Pentalpha (post abandoned)

Venus in the Dovecote (Part I)

Venus in the Dovecote (Part II): The Ancient Sanctuary

Pentagonal Venus: the φ (phi) in Αφροδίτη (Aphrodite)

Gustave Moreau's Golden Venus

Five Spirals for December - #1 "Night Flight" by Michael Parkes

Five Spirals for December - #2   "Princenza Hyacinta" by Alphonse Mucha

Five Spirals for December - #3 One Winter's Night... by Erté

Five Spirals for December - #4 The Vision of St. Cecelia by Orazio Gentileschi

Five Spirals for December - #5 Song of the Morning by Nicholas Roerich

A Belated Christmas Spiral: The Annunciation by "Juan de Flandes"

The Heart Nebula & the Flaming Heart of Venus

The Universe in a Phi Shell

The Paisley Pattern & the Golden Meme

An Auspicious Day

The above list is ever-changing... updated with live links as the intended posts are published and revised.

That is, if they're published... one can never say for sure in the Land of the Pentagram.

Conjuring Up David

 

"Every chance,

Every chance that I take

I take it on the road

Those kilometres and the red lights

I was always looking left and right

Oh, but I'm always crashing

In the same car.."

I'm Always Crashing in the Same Car - Low - 1977, David Bowie

***

It's been too long since last I mentioned David.

A Virtual "Can of Worms"

Worm's Last Memory - digital - 2009, DS. Geometry: 2022, DS.

Admittedly, Grace Jones is a tough act to follow... but, what must be done, must be done.

It seems I have made an unwelcome discovery and this is it: yes, one can embed a golden spiral in a visual image without even realizing it... and I have proof!

The proof amounts to golden spirals found in 5 of my own images - 3 of them executed prior to 2010 and the other two created in 2015, and 2016. There's only one problem: I wasn't introduced to the pentagonal golden spiral until March of 2021!

Inset left and right (below), from 2016, is the side panel of the music box with 2 potential GTSs.

Question: Why is it that a golden (pentagonal) spiral will discreetly appear in an image when  - at the time it was created - the artist had no conscious knowledge of the particular spiral involved? Is our design sense somehow wired to the melody of the golden ratio? Is this why the ratio was referred to as the "divine" - in that it is subliminally embedded in our consciousness?

Finding a golden spiral is not exactly the same as creating one, but the twain do meet somewhere within the process. And, this might be a factor. In the case of finding a golden ratio in ones own work, while it allows an artist to remember more of the actual creative process, it also brings something else to the table, a sense of the mysterious; a connectedness. This is, at once, satisfying... but, ultimately, a bit spooky. Is it a muse thing? An encrypted message...?  If so, from what?... or who? 

I keep thinking of it as a kind of organic thing.. a more sentient form of Sacred Geometry; the sub rosa beneath the sub rosa... like a maze of underground catacombs inhabited by ghosts. Then again, maybe the spiral is just a design artifact, making its appearance wherever a golden triangle appears.

At the same time, well, what new madness is this? In other words, is it anything but a strangely human (and yet, inhuman) construct which is essentially of the imaginal realm?

And, how does this reflect on all the spirals I've been finding in other artist's work?

Yes, well, I am unable to answer any of these questions, but have posted all five images in which the GTS was found (3 are below the jump). As for the worm .jpg (above), I found it was imperative to replace the space of my own crop (!) to accommodate the spiral! The image isn't working perfectly within the spiral but it's very, very close... and it is working with the golden triangle.

100 Degrees in the Shade

 

"Driving down those city streets waiting to get down

Won't you get your big machine somewhere in this town?"

I was compelled to get online this morning and listen to this 1981 song. I am now compelled to post it to this blog. No, it's not exactly a traveling tune... more of a summer-in-the-city kind of thing. 100 degrees in the shade and counting. Ladies & gentlemen, Grace Jones!

Oh, and Grace's cover of La Vie en Rose is to die for. More Grace... and more!

Via the Telegraph: Hula-hooping topless at 74, Grace Jones launches Meltdown with a thrilling sense of danger