Tree in the Door's Fauna and Flora: OTI:7/30/18

Open To Interpretation

https://youtu.be/ejoP1G7LRmw

Notes: maybe I was bored...maybe I am bored!...lol...more likely now in the heat I just divert to my bunk from activity, and so pursue these posts!...this seventythird in a series...see previous...but back in the Valley, at work, there were moments of tedium...and at the end of every work shift, it was my task to clean up the counters and such at Last Chance...so, at closing, to begin, I would fill up a five gallon bucket with hot water in the deep stainless steel sink back by the dish machine, which was usually running full blast...and, I'm standing there waiting for the bucket to fill, trying to stay out of everyone's way, and when it was full, water shut off, I got to tapping the side of the bucket to watch the patterns from the vibration when I tapped the bucket...one would think the patterns would just be circles...but, no, as the circles neared the center, they would square up!...'that's something', I thought on first seeing it happen, 'and for sometime!'...well, here now a partial sometime, as from filming the bucket today, see top pics and clips, I can see there is more to this...for sometimes!...lol...anyway, from what little I know of geometry/sacred geometry, I've read some about the mystery of 'squaring the circle'...looking into my bucket, I thought, 'well, that's it'...no mystery at all!...and would throw in some soap, and off to clean up after a day of serving the tourists...I did that, the soap and cleaning part, for like ten years, so one can understand any distraction from the routine caught my attention!...

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Squaring the circle is a problem proposed by ancient geometers. It is the challenge of constructing a square with the same area as a given circle by using only a finite number of steps with compass and straightedge.
... ... ...
The expression "squaring the circle" is sometimes used as a metaphor for trying to do the impossible.^[

https://en.wikipedia.org/wiki/Squaring_the_circle

hmmph...maybe call all this to follow:...'tapping the bucket'...:)...a 'ring', a 'curio', for awhile has been the borders of mosaics...the old ones the Romans made...

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The Lod Mosaic is a mosaic floor dated to ca. 300 CE discovered in 1996 in the Israeli town of Lod.

https://en.wikipedia.org/wiki/Lod_Mosaic

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a marvel I just found browsing today...note Giraffe and Elephant!...looking about for mosaics, I found a site showing how they are made...the designs...

http://www.romanmosaicworkshops.co.uk/blog/read_83511/wave-pattern-using-ad-quadratum.html

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'well', I thought, 'that's how the Greek keys are made'...saying goes, 'one can't see the forest for the trees'...so, stepping back now, to get an overview!...here's google's image page from search: ad quadratum wave spiral

https://www.google.com/search?q=ad+quadratum+wave+spiral&source=lnms&tbm=isch&sa=X&ved=0ahUKEwiI-532ksjcAhVQG6wKHUf5Cb0Q_AUICigB&biw=907&bih=429

opened that up looking for mosaic I've lost...but see one just as curious!...and in keeping...

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Image result for ad quadratum wave spiral

https://www.google.com/search?q=ad+quadratum+wave+spiral&source=lnms&tbm=isch&sa=X&ved=0ahUKEwiI-532ksjcAhVQG6wKHUf5Cb0Q_AUICigB&biw=907&bih=429#imgrc=RdOk_nigaHzw8M:&spf=1532999554636

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'visit' link for that one broken, or slow to open...it's modern...but it shows what's going on...a square grid modified with a compass to make the designs...ancients were working on like graph paper...that one has the pattern of the Inca Warrior step tunic...all the Inca tunics are divided into squares, and the tocapu designs in each square...the designs themselves are square based...so, there's squares within squares...all the artistries in Old and New world are worked up from these squares...where there are smooth curves, the artists just smoothed out the 'jaggies'...computer graphics went through this...pixelated...

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Early graphical applications such as video games ran at very low resolutions with a small number of colors, resulting in easily visible pixels. The resulting sharp edges gave curved objects and diagonal lines an unnatural appearance. However, when the number of available colors increased to 256, it was possible to gainfully employ anti-aliasing to smooth the appearance of low-resolution objects, not eliminating pixelation but making it less jarring to the eye.

https://en.wikipedia.org/wiki/Pixelation

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since I've noted that Inca warrior tunic checkerboard, I note it in odd places...at a restaurant, I looked out the window at another restaurant, and its entryway looked like the tunic...watching movieInfinityWar movie, there's a scene on top of a mountain, a temple with two tall pillars, and between them at their base, the interior opposing sides are corbelled...cut away in steps like the tunic...corbelled arches are like the tunic...square blocks are being used, and stacked a little off center to make the arch...all stone arches are corbelled...the smooth ones 'anti-aliased'...oh, this is an aside...one more...when I find it!...left off to do post from looking for Peruvian Hawks...looking at my Red Tail Hawk photo on my wall, Creek Hawk, I noted the pattern Hawk's chest feathers...it's like the tunic...and I'm looking at Peru's raptors for patterns that may have been taken up in the tocapu designs...

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http://treeinthedoorvideo.blogspot.com/2007/09/yosemite-creek-hawk.html

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https://en.wikipedia.org/wiki/Inca_army

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no Red Tails in Peru I gather...but for sometime how the Andeans stylized birds in their artistries...where was I before this aside?...oh, the mosaics...mosiacs are made from bits of glass like stones, often squares...so they have that pixellation...the ad quandratum bit shows how the designs are laid out...there's a lot of sites that go over this...

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Pentagram within Pentagrams ✮ How To Draw Fractal Art | DearingDraws

https://www.youtube.com/watch?v=LkhAELXEcCU

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clip is long...and it's a neat trick at the end when he does the Greek key...instead of like a square graph paper template underneath, oh, he doesn't use graph paper...but it is inferred that there is a square grid...instead of squares, partitions are made with concentric circles, lots of them, and radiating lines, lots of them...this is what one does when making designs inside/outside bowls, dishes, pottery and such roundish things...in the Lod Mosaic above there is a Greek key border among the other borders, and next to it, going outward, is step motif border, really tiny...next to that, I should mention too maybe, is a chevron border...now, I've been going on about the fret and the steps being together...the fret is the curl, the steps the step throne...the step fret of the Mesoamericans and Andeans...those two elements, the curl, and the steps...I can see now how the curl is anti aliased from the steps...the whole design on a square grid...and since artists in Old and New world were working from square grids, I can see how the step fret/Greek key can be arrived at convergently/independently...the Andeans are sometimes called by the scholars a 'pristine' civilization...lemmessee if I can find that again...

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The Inca Empire was the last chapter of thousands of years of Andean civilization. Andean civilization was one of five civilizations in the world deemed by scholars to be "pristine", that is indigenous and not derivative from other civilizations.^[

https://en.wikipedia.org/wiki/Inca_Empire

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I wouldn't bet the farm on that!...but, supposing, those five could arrive at the grid, the squares, independently...curious as to what five?

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Calling West African civilization pristine is something of an exaggeration, given earlier contact with states to the north. Then again, calling some of the standard six "pristine" states pristine is a bit of a stretch. Indus script (still undeciphered) may have been inspired by Mesopotamia, which was exchanging memes with Egypt as well. And some diffusion, however thin, probably linked South America (the Inca and their cultural ancestors) and Mesoamerica (Aztecs, Maya, and others).
Still, even after granting these early and occasionally momentous contacts, we are left with three large realms of ancient civilization, quite removed from each other: China, the Near East, and the New World. The scholarly consensus is that each developed its energy and information technologies—farming and writing—indigenously. And each then underwent its early civilizational history in essential isolation from the others.

http://what-when-how.com/a-brief-history-of-humankind/civilizations-and-so-on-a-brief-history-of-humankind/

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well, hooey...consider just this one thing...the square grids...Egyptian paintings was over a square grid...the Ishtar gate is a mosaic of rectangular glazed bricks (with step thrones on top), the Mesoamericans and Andeans designed to a grid...the tocapus, the Zapotec architecture,...I'll leave Asia and squares for sometime...so, I'm about on the web having some fun with the mosaics and squares, and then, it gets worse...much worse...

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Cymatics, from Greek: κῦμα, meaning "wave", is a subset of modal vibrational phenomena. The term was coined by Hans Jenny (1904-1972), a Swiss follower of the philosophical school known as anthroposophy. Typically the surface of a plate, diaphragm or membrane is vibrated, and regions of maximum and minimum displacement are made visible in a thin coating of particles, paste or liquid.^[1] Different patterns emerge in the excitatory medium depending on the geometry of the plate and the driving frequency.

https://en.wikipedia.org/wiki/Cymatics

so, so I learn my 'tapping the bucket' has a name...Cymatics...among others...

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Experiments of this kind, similar to those carried out earlier by Galileo Galilei^[4] around 1630 and by Robert Hooke in 1680, were later perfected by Chladni, who introduced them systematically in 1787 in his book Entdeckungen über die Theorie des Klanges (Discoveries on the theory of sound). This provided an important contribution to the understanding of acoustic phenomena and the functioning of musical instruments. The figures thus obtained (with the aid of a violin bow that rubbed perpendicularly along the edge of smooth plates covered with fine sand) are still designated by the name of "Chladni figures".
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According to Jenny, these structures, reminiscent of the mandala and other forms recurring in nature, would be a manifestation of an invisible force field of the vibrational energy that generated it. He was particularly impressed by an observation that imposing a vocalization in ancient Sanskrit of Om (regarded by Hindus and Buddhists as the sound of creation) the lycopodium powder formed a circle with a centre point, one of the ways in which Om had been represented. In fact, for a plate of circular shape, resting in the centre (or the border, or at least in a set of points with central symmetry), the nodal vibration modes all have central symmetry, so the observation of Jenny is entirely consistent with well known mathematical properties.^[

^{... ... ...}
Composer Stuart Mitchell and his father T.J. Mitchell claimed that Rosslyn Chapel's carvings supposedly contain references to cymatics patterns. In 2005 they created a work called The Rosslyn Motet realised by attempting to match various Chladni patterns to 13 geometric symbols carved onto the faces of cubes emanating from 14 arches.

same wiki

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that last bit, which I just happened on filling things in, is my reach:...'carvings supposedly contain reference to cymatic patterns'...thought I have is the artistries of the Andeans/Mesoamericans are related to sound/frequency vibrations...there's two sorts, well, lots actually, but two main ones...the ones inside squares...and running ones...borders/friezes...like the patterns from oscilloscopes...

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Chladni's method of creating Chladni figures

https://en.wikipedia.org/wiki/Ernst_Chladni#Chladni_figures

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likely since that study of Rossyln Chaple, someones have been all over finding Chalandi figures in ancient architecture!...haven't searched that, but with this new bit I have better search words...but, this is what made me think...'this is the forest!'...a match-cut:

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Tabella rappresentante alcune figure di Chladni

https://it.wikipedia.org/wiki/Cimatica

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All-T’oqapu Tunic, Inka, 1450–1540, camelid fiber and cotton, 90.2 x 77.15 cm (Dumbarton Oaks, , Washington D.C.)

All-T’oqapu Tunic, Inka, 1450–1540, camelid fiber and cotton, 90.2 x 77.15 cm (Dumbarton Oaks, , Washington D.C.)

https://smarthistory.org/all-toqapu-tunic/

I know, the 'chladnis' aren't on a 'tunic'...but the tocapu designs and the chladni designs are both 'in' squares...one can infer...if only for a whimsy!...oh...found this one...

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https://www.google.com/search?q=sapa+inca++tocapu&rlz=1T4TSNJ_enUS440US440&source=lnms&tbm=isch&sa=X&ved=0ahUKEwjYxY3frsjcAhVBI6wKHboBDawQ_AUICigB&biw=973&bih=429#imgrc=lzRuu9P7cpVZ4M:&spf=1533006960529

'visit' goes to pinterest page...oh, and this was there:

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Cap | Arica | The Met

and that's in the Met museum...which brings to mind again four cornered hats...

Four-Cornered Hat, Camelid hair, Wari

https://www.metmuseum.org/art/collection/search/314624

hmmph...game on...on the radio...Dodgers and somebody...Angels night off...'settle in, may be a long night'...lol...power went out at the stadium...late start...Braves 1-0...to top of 3rd...feathers, fish scales, snake scales, rods and cones in our eyes, mosaic stones, bricks, pixels, etc. etc....oh...almost forgot the bees...

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Australian Stingless Bees Build Stunning Spiral Hives and No One's Quite Sure Why

https://interestingengineering.com/australian-stingless-bees-build-stunning-spiral-hives-and-no-ones-quite-sure-why

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while messing with the bucket of water to make the clip, I wondered what else the ancients might have happened on with just water in a bucket, if indeed they happened on what I did...and thought, 'oh, spirals'...poke a hole in the bottom of the bucket and the water will drain out spiraling like in a bath tub!...Braves scored three...Braves 4-0...

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A spiral which bunches up at the poles of a sphere

https://en.wikipedia.org/wiki/Spiral

Dodgers get a run...rbi for Muncie...Machado scores?...Braves 4-1...

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Our interest in the measurement of air and water flow is timeless. Knowledge of the direction and velocity of air flow was essential information for all ancient navigators, and the ability to measure water flow was necessary for the fair distribution of water through the aqueducts of such early communities as the Sumerian cities of Ur, Kish, and Mari near the Tigris and Euphrates Rivers around 5,000 B.C. Even today, the distribution of water among the rice patties of Bali is the sacred duty of authorities designated the "Water Priests."

https://www.omega.ca/literature/transactions/volume4/T9904-06-FLOW.html

with regard to their agriculture, the Andeans were nothing if not 'water priests'...trying to imagine what they thought when they saw water spiraling down a drain!...an aside...oscilloscope patterns...match-cut:

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