(Formerly Trans-D Digital Art, a blog investigating - & creating - artistic anomalies since 2011.)
Sunday, December 25, 2022
The Song of the Golden Dragon
Monday, December 19, 2022
Google Celebrates Judith Leyster
Today's Google Doodle celebrates Judith Leyster... a lovely surprise to find on a Monday morning. It's kind of like, Judith Leyster Saves the Day... again!
Monday, December 12, 2022
Chasing Ancient Pentagrams Part III: The Quintessence - The Fellowship of Pentalpha
A floor mosaic - featuring a stellated dodecahedron - in St Mark's Basilica, Venice by Paolo Uccello circa 1430. |
Maurits Cornelis (M.C.) Escher (1898-1972), was a Dutch graphic artist especially known for the mathematical figures and motifs in his work, while Italian painter, Paolo Uccello, was not. Uccello accomplished amazing feats of perspective in his paintings, but his online oeuvre contains only one other example of a geometric solid. And, yet, it's his polyhedron which is unquestionably the "star" of the mosaic at St. Mark's basilica... surrounded by what looks like a string of... well, sliced zucchini (but don't quote me). In any case, regardless of the vegetables, his dodecahedron is a powerful icon.
But, there is one continuum between Uccello's mosaic and Escher's drawing. Both images glorify the stellated dodecahedron while, at the same time, revealing its fundamental source: the pentagram.
Wednesday, November 23, 2022
The Mad Minstrel in the Gallery
Tuesday, November 15, 2022
Chasing Ancient Pentagrams Part II: The Quintessence - The Egyptian Duat
An Egyptian limestone panel, 400-200 BC / Metropolitan Museum, New York |
"The Star which guided them is that same Blazing Star, the image whereof we find in all initiations. To the Alchemists it is the sign of the Quintessence; to the Magists, the Grand Arcanum; to the Kabalists, the Sacred Pentagram."
- A reposting of a quote (see Halloween post) via Albert Pike, a 19th century American Freemason.
In the large image (carved in relief) above, two baboons are worshiping the Duat, which hovers above the scarab - a sun symbol often used as a talisman for protection and placed inside a mummy's shroud - which, in turn, is set above the sun, placed here beneath the Duat.
(Note: Compare this design with the Kabbalistic tree-of-life inset right. Although not an actual match, there is a certain likeness in the way the elements are placed.)
This relief has a number of Underworld motifs... the most prominent being the pair of baboons facing each other. Baboons were said to be sacred animals in the Egyptian pantheon, and when depicted singly represented the great ibis-headed god, Thoth, a lunar god, who, in a sense, was Ra's (or Re's) counterpart.Sunday, November 6, 2022
If the future was yesterday, then, when is tomorrow?
Well, "the times, they are a changing" and quite literally. It's DST here in the states and we've just gained an hour... just in time for an interlude post hosted by that enigmatic woman in the video above, Laurie Anderson, a time-traveler (to be sure), whose amazing performance took place almost 40 years ago... and the world has, yet, to catch up with her.
Saturday, October 29, 2022
Samhain, 2022; Leonora Carrington and the Philosophic Egg
The Chair, Daghda Tuatha de Danaan, 1955, Leonora Carrington. Incidentally, the Internet Archive link presented here is a great source for Carrington images, starting with this page. |
Black sun/ Sol Niger, 1975, Leonora Carrington. |
"Sol niger (black sun) can refer to the first stage of the alchemical magnum opus, the nigredo (blackening). In a text ascribed to Marsilio Ficino three suns are described: black, white, and red, corresponding to the three most used alchemical color stages. Of the sol niger he writes:
- Leonora Carrington created several Samhain paintings. The one cited - Samhain Skin (inset right)- can be found in the NMWA collection.
You'll note the central motif of a mermaid figure in the painting... the mermaid (or siren) appearing often in Carrington's work. An excellent example is this stunning triptych found here, which I have never seen before. Speaking of Carrington objects not-seen-before, here's an another outstanding collection.
Sunday, October 23, 2022
Raga For a Sunday Afternoon (Update: 2/14/23)
Saturday, October 15, 2022
Chasing Ancient Pentagrams Part I: the Roman Dodecahedra
"One August day in 1987, Brian Campbell was refilling the hole left by a tree stump in his yard in Romford, East London, when his shovel struck something metal. He leaned down and pulled the object from the soil, wondering at its strange shape. The object was small—smaller than a tennis ball—and caked with heavy clay. 'My first impressions,' Campbell tells Mental Floss, 'were it was beautifully and skillfully made … probably by a blacksmith as a measuring tool of sorts.'
Campbell placed the artifact on his kitchen windowsill, where it sat for the next 10 or so years. Then, he visited the Roman fort and archaeological park in Saalburg, Germany—and there, in a glass display case, was an almost identical object. He realized that his garden surprise was a Roman dodecahedron: a 12-sided metal mystery that has baffled archaeologists for centuries. Although dozens, and perhaps hundreds, of explanations have been offered to account for the dodecahedrons, no one is certain just what they were used for."
- Via an excellent article on Mental Floss found here. Inset right (above) is a Roman Dodecahedron exhibited in the Württembergisches Landesmuseum, Stuggart, Germany, and found in this article.
"A Roman dodecahedron or Gallo-Roman Dodecahedron is a small hollow object made of copper alloy which has been cast into a dodecahedral shape: twelve flat pentagonal faces, each face having a circular hole of varying diameter in the middle, the holes connecting to the hollow center. Roman dodecahedra date from the 2nd to 4th centuries AD.
Since the first dodecahedron was found in 1739, at least 116 similar objects have been found[1] from Wales to Hungary and Spain and to the east of Italy, with most found in Germany and France. Ranging from 4 to 11 centimetres (1.6 to 4.3 in) in size. A Roman icosahedron has also come to light after having long been misclassified as a dodecahedron. This icosahedron was excavated near Arloff in Germany and is currently on display in the Rheinisches Landesmuseum in Bonn.
No mention of them has been found in contemporary accounts or pictures of the time. Speculated uses include as a candlestick holder (wax was found inside two examples); dice; survey instruments for estimating distances to (or sizes of) distant objects; devices for determining the optimal sowing date for winter grain; gauges to calibrate water pipes, army standard bases, a coin measuring device for counterfeit detection. Use as a measuring instrument of any kind seems improbable since the dodecahedra were not standardized and come in many sizes and arrangements of their openings. It has also been suggested that they may have been religious artifacts, or even fortune-telling devices. This latter speculation is based on the fact that most of the examples have been found in Gallo-Roman sites. Several dodecahedra were found in coin hoards, providing evidence that their owners considered them valuable objects. Other suggestions include a knitting frame for creating gloves, supported by the fact that many are found in the northern range of the empire.
Smaller dodecahedra with the same features (holes and knobs) and made from gold have been found in South-East Asia along the Maritime Silk Road. They have been used for decorative purposes and the earliest items appear to be from the Roman epoch."
- Via the Wiki entry for Roman or Gallo-Roman dodecahedron. Inset left is a museum photograph of 2 Roman dodecahedrons and the icosahedron mentioned in the quote. In my eyes, the icosahedron, although a polyhedron and similar in size to the dodecahedrons, does not seem to be in the same family of objects as the former.
Wednesday, September 14, 2022
The Gentileschi Spirals... and a series Afterword
Young Woman Playing a Violin, 1612, Orazio Gentileschi. Geometry: 2022, DS. |
- Introduction to the Wiki entry for Orazio Gentileschi, generally referred to as a Mannerist.
"Michelangelo once gave this advice to his pupil Marco da Siena, that one should always make the figure pyramidal, serpentine, and multiplied by one, two or three. And in this precept, it seems to me, is contained the secret of painting, for a figure has its highest grace and eloquence when it is seen in movement—what the painters call the Furia della figura. And to represent it thus there is no better form than that of a flame, because it is the most mobile of all forms and is conical. If a figure has this form it will be very beautiful...The painter should combine this pyramidal form with the Serpentinata, like the twisting of a live snake in motion, which is also the form of a waving flame... The figure should resemble the letter S... And this applies not only to the whole figure, but also to its parts...The figure will not appear graceful unless it has this serpentine form, as Michelangelo called it."
- Via this link (posted previously) regarding the Mannerist's S-curve or Figura serpentinata. The engraving inset right is the given example of this figure found at the beginning of the Wiki entry. The golden embellishment is my own. I first mentioned the Serpentinata in a footnote in Part III of the Bentvueghel series. I was confused about it then and am confused about it now. Was it or did it become a code word for the golden spiral?
(Note: I think the figura serpentinata directly above has another spiral going in the opposite direction. Sadly, I am not able to test this; my main computer is currently sitting in the trunk of my car which is currently sitting in the place it was towed yesterday morning after the accident. Physically I'm okay but the car isn't and this is seriously bad, as you might imagine. I will persevere with this post but it may take me longer than usual. Shit happens. Sorry, but I'm in need of a miracle.)
***
(Update 10/3/22: In my first note - above - I had just had a freak car accident - while blinded by the sun, I hit an aluminum streetlight in the center of the highway - and totaled my "mobile home."
But, that wasn't the end of the nightmare.
While at the towing facility - a facility I was assured was safe - someone broke into the trunk of my car and stole my relic of an Imac In other words, they stole all my original graphic files from the past 10 years or so... up to and including those of the present day, that is, my pentagonal spiral work.
As you might imagine, there have been many reasons that blogging has become next to impossible. Nonetheless, I have written a little of the text for this post. See below.)
***
It probably goes without saying that this blogger (moi) seemingly became addicted to the pentagonal golden spiral in some strange way over the past 6 months. Well, it would have to be strange, wouldn't it? As a geometrical figure, the golden spiral is merely the combination of a series of triangles and a series of circles in a specific proportion to one another, aligned in a specific way; what's to get addicted to? A mathematical proportion? Can one get really get addicted to a mathematical proportion?
Apparently.
I find I keep coming back to the blog to reassess the spirals I detected in the numerous examples of Renaissance and Baroque paintings I posted- well, that's my excuse anyway - but, using a different set of brain cells, I realized I possessed an ulterior motive. The addict's motive: pleasure... although (presumably) on a non-physical, abstract level.
So, we're back to the word "strange." How strange? Strange enough to compel this addict to draw spirals through 69 paintings while said addict's actual, physical life was on the fast track to Hell. (See introductory paragraphs).
But - despite present, perpetual, real-time preoccupations - I still have to wonder about the 33 European artists in whose paintings the spiral was found. It seems they lived during a period of (roughly) 200 years - predominantly during the Baroque period which, in turn, lay on the cusp of the Age Enlightenment (1680–1820)... that is, when scientific inquiry was in its infancy in the western world.Now, this specific period in history might be a factor in our inquiry... then again it may not; it depends upon how we classify these artists and their spiral paintings. It shouldn't be difficult; there are actually only 2 ways to go in this analysis: the artists in question either deliberately designed some paintings with the spiral in mind or they didn't.
Keep in mind that the spiral was also present in Baroque ornamentation (inset left) and possibly somewhere in Baroque music, too. So, were the artists, artisans, and musicians completely aware of its proportions and using it as a measure of perfection and beauty? Or, was the proliferation of golden spirals (at that time) an almost paranormal thing... a variety of subliminal meme... an unconsciously recognized icon which was possibly a presentiment on the part of an artistic community who were, without noticing it, heralding an evolutionary phase of a whole society?
And, this brings us to the Gentileschi spirals. Specifically, Orazio's, although we'll look at Artemisia's, too. But, Orazio's Young Woman Playing a Violin is similar - and as spectacular - as Judith Leyster's Jolly Toper especially because the spiral is so in-your-face; you can't possibly miss it. More to the point (literally) is that although the spiral I located is somewhat smaller than it could be, where it and the triangle falls on the bow is simply too remarkable to be, shall we say, a natural occurrence and this convinces me that Orazio, like Judith, must have been consciously aware of what he was doing. The spiral is too tight to be a happy accident. Moreover, Orazio has given us another example (below the jump) but, as I have no graphics program on this laptop, you're going to have to work this spiral out for yourself...
Thursday, September 8, 2022
Vale, Elizabeth!
Friday, September 2, 2022
In the Shadows of a Golden Age: the Bentvueghels - Part III
A 'sotto bosco' with mushrooms, butterflies, a dragonfly, a snake and a lizard, 17th century, Otto Marseus van Schrieck |
Wednesday, August 24, 2022
Judith Leyster Saves the Day (An Addendum of Sorts)
The Cheerful Drinker (or Jolly Toper), 1629, Judith Leyster. Geometry: 2022, DS. |
Anyway, so, while researching Sara I found an amazing spiral by Leyster - in this article - which has been posted above. And, really, finding this perfect spiral made my day. It immediately struck me as a confirmation: yes, Judith Leyster did know of the GTS... and (via the J.M. Nash book) I may have picked up a clue as to her source of knowledge...
Sunday, August 14, 2022
In the Shadows of a Golden Age: the Bentvueghels - Part II
Karel Dujardin (1626 - 1678)
I think Boy Blowing Soap Bubbles is possibly one of the most charming spiral designs I've used in this post and I've featured two other spiral placements below.
Beneath the Boy... is another Dujardin painting: Tobias and the Angel. I have two spirals for this image as well, but, as I think the one shown is the better one (and this post is fat with images), I'll place it aside.
Incidentally, in the large painting (seen inset above) - the Bentvueghel initiation - there are not one but two men, one on each side of the painting, who seem to resemble Dujardin's self-portrait... to which I have no explanation!
The two spirals (above) really need no explanation, but note the triangle in the one on the left; it connects the positions of the boy's hands with the top of his swirling mantle. It is a golden measurement.
Tobias and the Angel, 17th century, Karel Dujardin. Geometry: 2022, DS. |
Above are two spiral placements in Dujardin's Hagar and Ishmael in the Wilderness, circa 1662. Take your pick! While I realize that some of you may feel that several spirals in one painting weakens my argument, the reality is that multiple spirals - while it is unlikely the artist planned them - are really artifacts of one spiral... proving that the "gold" in a painting really is distributed evenly throughout the image... as the pentagram is, in a sense, always a fractal of an entire golden field of pentagrams.
Below the jump: a few of Nicolas Régnier's amazing spiral paintings.