Apple Blossoms

Apple Blossoms in Hopewell's Orchard - Photo credit: NPS/A. Kane.

"It is remarkable how closely the history of the Apple-tree is connected with that of man. The geologist tells us that the order of the Rosaceæ, which includes the Apple, also the true Grasses, and the Labiatæ, or Mints, were introduced only a short time previous to the appearance of man on the globe.

...Pliny, adopting the distinction of Theophrastus, says, “Of trees there are some which are altogether wild, some more civilized.” Theophrastus includes the apple among the last; and, indeed, it is in this sense the most civilized of all trees. It is as harmless as a dove, as beautiful as a rose, and as valuable as flocks and herds. It has been longer cultivated than any other, and so is more humanized; and who knows but, like the dog, it will at length be no longer traceable to its wild original? It migrates with man, like the dog and horse and cow; first, perchance, from Greece to Italy, thence to England, thence to America; and our Western emigrant is still marching steadily toward the setting sun with the seeds of the apple in his pocket, or perhaps a few young trees strapped to his load.

...Men could afford then to stick a tree by every wall-side and let it take its chance. I see nobody planting trees to-day in such out-of-the-way places, along the lonely roads and lanes, and at the bottom of dells in the wood. Now that they have grafted trees, and pay a price for them, they collect them into a plat by their houses, and fence them in,—and the end of it all will be that we shall be compelled to look for our apples in a barrel."

- Via the entertaining 1862 essay, Wild Apples, by American naturalist, Henry David Thoreau, available for free on Project Guttenberg. Note his Venus/Aphrodite-related description of the apple tree: "It is as harmless as a dove, as beautiful as a rose..." * Biologically, the apple and the rose belong to the same family.**

Interestingly, in our eventual (future) back yard, we had a small apple tree which grew close by a wild rose bush with small clusters of blossoms, resembling those of the apple tree. The apple tree eventually withered, but the rosebush retained an apple-like fragrance.

Thoreau concludes his essay with the biblical quote (JOEL, Chapter I, Verse 12): “The vine is dried up, and the fig-tree languisheth; the pomegranate-tree, the palm tree also, and the apple-tree, even all the trees of the field, are withered: because joy is withered away from the sons of men.”

"But the first verdict seemed the worst verdict

When Adam and Eve were expelled from Eden;

Yet when the bitter gates clanged to

The sky beyond was just as blue.

For the next ocean is the first ocean

And the last ocean is the first ocean

And, however often the sun may rise,

A new thing dawns upon our eyes.

For the last blossom is the first blossom

And the first blossom is the best blossom

And when from Eden we take our way

The morning after is the first day."

- An excerpt from the poem Apple Blossom, by Belfast poet, Louis MacNeice. For another poem by MacNeice, see my latest post on PMB, A Lost History Retrieved.

***

I'm not a terribly nostalgic person, but as the years go by, holidays are increasingly becoming "remembered" things... belonging to experiences in the past-tense; belonging to childhood only; a time of wonder.

My earliest memory of Easter is posing with my little brother in front of an immense apple tree, one of two, in our - or, rather, the landlord's - backyard, while my dad snapped B/W photographs of us decked out in our annual Easter outfits. We both wore coats or jackets and "bonnets"; spring was very chilly in New England in those days. My coat had a lavender and white checkered pattern. My brother's jacket had a black and white pattern known as houndstooth.

Funny, the things you remember... while the rest you'd' rather forget. But, today I will go no further down memory lane beyond the grandeur of those two immense apple trees in the landlord's backyard, the like of which I'll probably never see again. The like of which only a few of us will ever see at all. Privilege is a relative thing.

The apple tree is an icon; it is also a meme and/or an element of a meme. It speaks of the beginning of new things and the continuous cycles of life - a "tree of life" - and the processes of growth. On an apparent (logical) level, living things grow and eventually decay. But, on a mythical (mythos) level, the life force is in perpetual expression; it can be transformed or modified, but never annihilated.

But, I am no sage. I merely observe.

And, what I presently observe is that it's a rabbit, egg and apple sort of holiday for some of us - even if only in memory. And, yet, at its core (pun intended) it is a celebration of spring and a renewal of vitality.

Coincidentally, it just happens to be a beautiful spring day in NM. I hope it is wherever you are, too.

____________________________________________________

* "Harmless as a dove" is not an exactly an accurate phrase and, as a naturalist, Thoreau would've known this. He was quite possibly referring to domesticated doves, which we might expect to be more submissive. Wild doves, however, in spite of their elegant appearance, will gladly take out any creature threatening their nests. I once saw a mourning dove throttle a blue jay - a more belligerent bird - holding it by it's neck.

** Cherries are also part of the Rosaceae family... and, like the apple and the rose, are celebrated with parades and festivals in the states and abroad.

*** My original statement here was, for the most part, unintelligible. I must've dropped the thread and then, unsuccessfully, attempted to patch it up. I've since revised the statement, but, I'm afraid the original "thread" was lost. And, it's probably just as well!

An Auspicious Day

The Three Golden Eggs of Happiness, G-DS-2024
Alternative title: 3 Sleeping Doves

We seem to be experiencing a grand trine of celebratory days today: the first day of spring, the neo-pagan and Wiccan holiday of Ostara, and the first day of the Persian new year! So, put aside your woe and despair and knock yourself out with the pleasure of impractical things - we've hit the jackpot!

I found three (pretty-much) perfect golden eggs (sourced here)... and, now, you have!

Smile. You'll feel better. It's a known fact. :-)

The Paisley Pattern & the Golden Meme (Revised 3/18/24)

Phi shells served up on a modern paisley fabric (sourced here).
Geometry: 2024, DS.

"meme - n. a unit of practice or belief through which a society or culture evolves and that passes from one generation (or even one person) to the next. In this sense, the term — coined in 1976 by British  biologist Richard Dawkins (1941–  ) and derived from the Greek word for “imitation”— is a kind of metaphorical parallel to the term gene."

-  An interesting definition of "meme" found in the online American Psychological Association's Dictionary. As a "metaphorical" gene, in lieu of its lack of actual physicality, we can expect a meme to operate in a manner similar to the gene: subconsciously and/or subliminally. Unlike the gene, it is transferred from one mind to the other... often in the form of a symbol, although not necessarily a visual symbol.

The images posted above, and inset right, and inset left and right below are the result of a new 2-dimensional toy I developed last year and introduced in The Universe in a Phi Shell: phi shells. I can't remember what inspired me to make phi spirals into phi shells, but it was probably pretty elementary. However, once I saw the effect the shells produced on some images, I was astounded. In so many cases the phi shell was like an envelope - die-cut to fit a golden spiral - or a custom-made template... with maybe a little wiggle room.

Sometimes, working with a phi shell leads to repositioning the original spiral. Inset right is a prime example: Boy Blowing Soap Bubbles by 17th century Dutch painter (and Bentvueghel), Karel Dujardin. (See the post for the former spirals.) As concise as this spiral appears, it could be larger and better... but, As we see time and time again, some portion of the necessary image area is missing. What sold me on the orientation of this spiral, however, is the way the boy's right arm - holding the bubble pipe - falls so neatly into the small triangle. It's as if the boy is drawing the spiral in the air.

"Proponents theorize that memes are a viral phenomenon that may evolve by natural selection in a manner analogous to that of biological evolution. Memes do this through the processes of variation, mutation, competition, and inheritance, each of which influences a meme's reproductive success. Memes spread through the behavior that they generate in their hosts. Memes that propagate less prolifically may become extinct, while others may survive, spread, and (for better or for worse) mutate. Memes that replicate most effectively enjoy more success, and some may replicate effectively even when they prove to be detrimental to the welfare of their hosts."

- A cautionary quote from the Wiki entry for "meme," and one that might make a certain amount of sense to those acquainted with what I've come to refer to as the "Golden Meme." I could even go so far as to says this might be reflected in my own experience... including the "detrimental to their hosts" bit, but, I try not to entertain fantastical innuendos that accelerate my level of paranoia.

"When Pacioli (the Renaissance mathematician) wrote in his Divina Proportione: '.. just like God cannot be properly defined, nor can be understood through words, likewise this proportion of ours cannot ever be designated through intelligible numbers, nor can it be expressed through any rational quantity, but always remains occult and secret, and is called irrational by the mathematicians'... he seemed to be equating the golden ratio with a variety of magical formula. That is, through his recognition and understanding of "this proportion of ours" he was attempting a marriage between several disciplines: science, art and mysticism. And, this wasn't unusual for the early Western scientists, many who dabbled in astrology, numerology and alchemy side by side with astronomy, mathematics, botany... and the arts. The scientific field was wide open - the hard lines were still blurred...

The "new scientists" were seeking enlightenment, autonomy, discovery, truth. And, it was into this slowly reawakening world that the pentagonal spiral made its appearance... and not necessarily for the first time. Similar to the sign of the pentagram - by which the followers of Pythagoras "knew each other" - perhaps, the "sign" of the pentagonal spiral enabled the Baroque artists to identify like-minded artists... kindred spirits in a world in which freedom did not, yet, ring."

"Keep in mind that the spiral was also present in Baroque ornamentation... 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... or a variety of subliminal meme... an unconsciously recognized icon which was possibly a symbolic presentiment on the part of an artistic community who were, without noticing it, heralding an evolutionary phase of a whole society?"

A Baroque flourish (w/ phi shells). G-DS-2024.

- Two quotes via my blogpost: The Gentilischi Spirals and a Series Afterword. One painting appearing in that post is the image reposted (inset right) above the flourish: Orazio Gentileschi's Young Woman with a Violin. It's phi shell is looser than the original spiral I gave it, and resting on her lap like a humongous sea shell gives the image a somewhat comical appeal... but the spiral and triangle intercepts the young woman's bow perfectly.

The flower painting, inset left, above her, however, was the work of Dutch Baroque artist, Willem Van Aelst and can be found in Part III of the Bentvueghel series, where we become acquainted with the curious appearance of the garden snail in flower paintings. And, really, if the Dutch flower painters used the snail as a clue indicating that a larger spiral was deliberately embedded in their paintings, well, all I can say is, what a brilliant idea!

Directly above is a portion of a Baroque ornament recently found (now decorated with phi shells). Not all Baroque flourishes were as golden as this one, but, considering the quantity of spirals appearing on furniture, architecture and textiles, the golden meme was alive and well.

***

For the past few years, I've spent a lot of quality time pondering the meaning of the appearance of the pentagonal golden ratio in works of art, artifacts and in architecture. I can't say for sure why this is so anymore, but, once upon a time, there seemed to be a point. I had a plan. Nowadays, I have to ask myself, why in the world would anyone actually sit down and spend a great deal of quality time blogging about obscure topics to an evaporating audience while everything in the surrounding area (the world, that is) seems to be either rapidly going down the tubes, or up in flames?

And, this isn't the first time I've asked myself this question!

On the other hand, blogging about obscure topics to an evaporating audience - in view of the tubes and flames - presently encourages my survival. Perhaps, blogging is kind of a therapy after all. Or, perhaps, in an absurd world, doing nonsensical things in response to Armageddon is appropriate.

And, it is in this state of mind I will reveal my latest pentagonal phi epiphany... which just happens to regard a description I've used previously: subliminal meme. The kind of meme that just might slip into an image while the artist was totally unaware of it, as it did in 2012, when I created Metamorphosis Interrupted, reposted (inset left), with a phi shell that fits the unfortunate worm like a chrysalis! (See: A Virtual Can of Worms.) 

Generally speaking, the unconsciously produced spirals in the images referred to in the Worms post were not all that strong. However, the worm's proportions in Metamorphosis is very close to perfect. But, while I was aware that I was being very finicky about the shape of the worm's body while creating it, in reality, at the time of its creation, I had never even heard of the pentagonal golden spiral!

 

So, is this an indication of phi "on the brain"? Are our brains somehow wired to its aesthetic or does it go deeper than that? Is this why the ratio was referred to as "divine" - in that it is embedded so deeply in our consciousness we assume it is an outer force? Or, when we find it in organic life, is it merely the imprinted diagram of actual physical forces science is already aware of?

Or, taking into consideration the nature of a meme, can you actually "catch it" like the common cold?*

Speaking of brains, I was delighted to find an image of one that seamlessly fits into a phi shell (inset right). Of course, humans tend to have rounded skulls, so it should come as no total surprise. But, then again, the image is an illustration and not an MRI, so, this is an artistic interpretation (and a very nice one) by Hank Grebe.

I didn't notice this till I was adding my geometry "stamp" to the image, but what lies at (a very important) 3-cornered junction of the spiral nearest to the coil - technically, the apex of the smallest golden triangle (and its spiral) - is that notorious pine-cone-shaped brain element, the mysterious pineal gland or "third eye." Oddly enough, it is depicted here as another tiny golden triangle (click for enlargement.)

(Continued below the jump...)

The Universe in a Phi Shell

M74, or the Phantom galaxy... embellished with a phi shell. (G-DS-2024).

'The most merciful thing in the world, I think, is the inability of the human mind to correlate all its contents. We live on a placid island of ignorance in the midst of black seas of infinity, and it was not meant that we should voyage far. The sciences, each straining in its own direction, have hitherto harmed us little; but some day the piecing together of dissociated knowledge will open up such terrifying vistas of reality, and of our frightful position therein, that we shall either go mad from the revelation or flee from the light into the peace and safety of a new dark age."

- H. P. Lovecraft, The Call of Cthulhu, 1926.

"Messier 74, also called NGC 628, is a stunning example of a "grand-design" spiral galaxy that is viewed by Earth observers nearly face-on. Its perfectly symmetrical spiral arms emanate from the central nucleus and are dotted with clusters of young blue stars and glowing pink regions of ionized hydrogen (hydrogen atoms that have lost their electrons). These regions of star formation show an excess of light at ultraviolet wavelengths. Tracing along the spiral arms are winding dust lanes that also begin very near the galaxy's nucleus and follow along the length of the spiral arms.

M74 is located roughly 32 million light-years away in the direction of the constellation Pisces, the Fish... In its entirety, it is estimated that M74 is home to about 100 billion stars, making it slightly smaller than our Milky Way."

- Via this Hubble page, we are introduced to the M74 galaxy discovered by the French astronomer Pierre Méchain in 1780. It is a kind of go-to spiral galaxy for those seeking spiral perfection. Of course, for the golden (pentagonal) spiral hunter, gazing at it's sinuous, twisting, mollusk-like proportions is sheer bliss... as, if there were a God and It had a face, this would be it. (God the mollusk! The Mollusk god. So, burn me at the stake. See if I care.)

"Messier 74 (also known as NGC 628 and Phantom Galaxy) is a large spiral galaxy in the equatorial constellation Pisces. It is about 32 million light-years away from Earth. The galaxy contains two clearly defined spiral arms and is therefore used as an archetypal example of a grand design spiral galaxy. The galaxy's low surface brightness makes it the most difficult Messier object for amateur astronomers to observe. Its relatively large angular (that is, apparent) size and the galaxy's face-on orientation make it an ideal object for professional astronomers who want to study spiral arm structure and spiral density waves. It is estimated that M74 hosts about 100 billion stars."

- This quote was sourced from the Wiki entry for M 74, along with the galaxy image used in this post (inset left). That the Phantom is considered an "archetypal example" of a "grand design spiral galaxy" is kind of interesting... in light of the fact that it is composed of 2 near-perfect pentagonal golden spirals. (And, when discussing massive deep-space objects, "close" is about as good as it gets.)

"This Hubble Space Telescope photo of Messier 74 reminds us that spiral galaxies are some of the most beautiful and photogenic residents of the universe. Nearly 70 percent of the galaxies closest to the Milky Way are spirals. New research finds that spiral arms are self-perpetuating, persistent, and surprisingly long lived."

"How the spiral arms form continues to puzzle scientists. One theory suggests the galaxy arms could be the result of density waves traveling through the outer disk. Encounters between galaxies could cause such waves as the mass of the smaller galaxy could affect the structure of the larger galaxy as the two combine."

- Two quotes from this Space.com article... reminding us of how little is known - and how much there is to know - about our cosmos.

***

I'm a busy woman these days, and I hate it. All it amounts to is more stress. But, tell that to an artist's muse. Time perplexes muses. They simply don't get it.

So, I currently have five posts sitting on the back burner, an unfinished digital image - my first formal digital image since my 2022 car accident - a ceramic project that MUST go into production this month, and a number of tedious life issues to deal with... and deal with, and deal with. But, then, last night I came across this photograph (inset right) of M74, the Phantom galaxy and, within minutes, I found myself absorbed in playing with my latest graphic toy, a phi shell (rhymes with seashell)... trying to decide which color to use from my ever-growing palette. In the end, only the white shell did the Phantom any justice, and even this had to be almost transparent... to endow it with that certain marine life appeal which, for whatever reason, seemed appropriate.

Anyway, I decided to post 2 images to the blog for the (freakish) enjoyment of those who, like myself, delight in this sort of thing. (Yes, in case you haven't noticed it, we constitute a minority.)

Oh, and incidentally, the "phi shell" - my attempt to give the common mathematical diagram a little extra-dimensional pizazz - will be appearing quite often in the coming days. I confess; I'm hooked on phi shells now, and there's no help for it!

Adieu, till next time... :-)

Via the ESA: a multi-observatory view of the Phantom.

The Heart Nebula & the Flaming Heart of Venus

The Heart Nebula (detail) - Photo credit: 2022, Ernie-Jacobs. Geometry: 2024, DS.

 "What's that inside the Heart Nebula? First, the large emission nebula dubbed IC 1805 looks, in whole, like a human heart. It's shape perhaps fitting of the Valentine's Day, this heart glows brightly in red light emitted by its most prominent element: hydrogen. The red glow and the larger shape are all created by a small group of stars near the nebula's center. In the heart of the Heart Nebula are young stars from the open star cluster Melotte 15 that are eroding away several picturesque dust pillars with their energetic light and winds. The open cluster of stars contains a few bright stars nearly 50 times the mass of our Sun, many dim stars only a fraction of the mass of our Sun, and an absent microquasar that was expelled millions of years ago. The Heart Nebula is located about 7,500 light years away toward the constellation of the mythological Queen of Aethiopia (Cassiopeia)."

- Via this NASA archive page: In the heart of the heart nebula. Basically, the Heart Nebula - in the constellation Cassiopeia, composed of 5 major stars - seems to be an artifact created by gases from the birth processes of new stars, but, well, nothing I've read simplifies it to that degree, so it's merely my guess. In any case,  it's very impressive looking... like looking into the innards of an exploded star (nova) or a bubbling cosmic cauldron. Also, see its companion: the Soul Nebula... and an interesting star, φ Cassiopeiae.

Inset right is a cardioid animation, created by Atomic Shoelace, and sourced from the Wiki entry for Heart Symbol. I've never seen this before, but, looking at it now, it appears that the cardioid and the pentagonal golden spiral have something in common.

(continued after the jump-break...)

A Belated Christmas Spiral: The Annunciation by "Juan de Flandes" (Revised 1/19/24)

The Annunciation, 1508, Juan de Flandes. Geometry: 2024, DS.

"Juan de Flandes ("John of Flanders") was a Flemish painter active in Spain from 1496 to 1519. His actual name is unknown, although an inscription Juan Astrat on the back of one work suggests a name such as "Jan van der Straat". Jan Sallaert, who became a master in Ghent in 1480, has also been suggested. He worked in the Early Netherlandish style.

He may have been born around 1460 somewhere in Flanders, Flandes in Spanish, which encompassed modern Belgium, Netherlands, Luxembourg and bordering regions of France. He evidently trained in his home country, most likely in Ghent, as his work shows similarities to that of Joos van Wassenhove, Hugo van der Goes and other Ghent artists. He is only documented after he became an artist at the court of Queen Isabella I of Castile, where he is first mentioned in the accounts in October 1496. He is described as "court painter" by 1498 and continued in the queen's service until her death in 1504..."

- Via Wiki's entry for Juan de Flandes.

"In a list of 23 February 1505, thirty-two of them, including the Last Supper, were acquired by Margaret of Austria, Regent of the Netherlands and sister of Isabella’s son-in-law (in whose collection they were seen by Albrecht Dürer). Dürer noted in his diary: ‘And on Friday Lady Margaret showed me all her beautiful things, and among them I saw about forty small pictures in oils, the like of which for cleanness and excellence I have never seen’."

- Although not applicable to The Annunciation,  the quote was sourced from this page in which a full account of Juan de Flandes' mysterious collection of small paintings is given.

(Update:1/19/2024) I'm adding a new spiral to the mix (inset left). While not the "magic act" posted above it still has 2 things going for it: it terminates on the "holy spirit," and it begins to form a pentagram over Mary. There's a third thing. Gabriel conjures up an important golden relationship with his wand. What is it?

(Correction: Gabriel conjures up (at least) 3 golden relationships with his wand. What are they?)

***

I had a different post in mind for the first post of the year, but, as it happened I had the image (above) on file as a possible Christmas alternative, but, it needed research and I didn't have the time for it last year.

As it was, the trail grew cold fairly early on in my search for information, and there doesn't seem to be any clear cyberspace description of who the artist actually was, although we do know he was fairly successful, especially in Spain. (See: Juan de Flandes and His Financial Success in Castile.)

But, Juan de Flandes' Annunciation is possibly one of the most unique of all the many paintings in that genre produced in the late Renaissance, another being Botticelli's Cestello Annunciation (1489), the first spiral painting I documented on this blog... and, still, to this day, one of the best spiral paintings.

The spiral in this somewhat odder Annunciation painted by the Flemish painter, however, has one special feature. It's spiral presents us with a little conjuring effect, a magic act. (Why, it even has a dove!)

I've inset the unembellished original so you can witness it for yourself. Click on the image, and when the "slideshow" pops up, click on the spiral version. Jockey back and forth.  Do you see it?

Abracadabra! the angel performs a magic-trick with his staff... as if it was (an overly long) wand. (Presto! Mary is now with child.)

(Now, there's a mixed metaphor...)