Psiphi
Notes: Game on...on the radio...top of fourth...Twins and Angels...so, so, if geometry for the Mayan was seen in the Diamond Back Rattlesnake...what creature did the Greeks see it in?...the Pythagoreans?...search: pythagoreans sacred animal...
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Pythagoras was already in ancient times well known for the mathematical achievement of the Pythagorean theorem.[3] Pythagoras had discovered that "in a right-angled triangle the square of the hypotenuse is equal to the squares of the other two sides". In ancient times Pythagoras was also noted for his discovery that music had mathematical foundations. Antique sources that credit Pythagoras as the philosopher who first discovered music intervals also credit him as the inventor of the monochord, a straight rod on which a string and a movable bridge could be used to demonstrate the relationship of musical intervals.[
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But unlike their Greek contemporaries, the Pythagorean philosophers represented numbers graphically, not symbolically through letters. Pythagoreans used dots, also known as psiphi (pebbles), to represent numbers in triangles, squares, rectangles and pentagons.
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The Pythagorean concept of cosmic harmony deeply influenced western science. It served as the basis for Kepler's harmonices mundi and Leibniz's pre-established harmony.[41] Einstein believed that through this pre-established harmony, the productive unison between the spiritual and material world was possible.[41]
https://en.wikipedia.org/wiki/Pythagoreanism
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not an animal, but music?...what the Mayans made of music is lost, except that we know they played it--seen in paintings, artifacts...to top of fifth...Angels 3-0...the Pythagoreans' mascot for sometime...cant locate it now...and those dots take me where I'm reaching...I forget just what I did with my billiard balls while trying to imagine gold crystals and how they'd relate to the Great Pyramid...I probably did the above, noting they make a pyramid in their closest joining...playing with the ping pong balls, I quickly found they go together close in like just three ways...two together, three together, and six surrounding one in the middle...was going to take pics, but pics are on the web...brb...oh, wait...
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In geometry, the spiral of Theodorus (also called square root spiral, Einstein spiral or Pythagorean spiral)[1] is a spiral composed of right triangles, placed edge-to-edge. It was named after Theodorus of Cyrene.
https://en.wikipedia.org/wiki/Spiral_of_Theodorus
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Trout flys out...just misses his second home run...to top of fifth...what...Twins with two rbi home run...Angels 3-3...batter earlier before hit a home run...that spiral is called The Snail Of Pythagoras...
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Kepler was quoted as saying: “Geometry has two great treasures: one is Pythagoras’ theorem; the other is the golden ratio of a segment. The first we can compare to a gold object; the second we can define as a precious jewel.
http://www.eniscuola.net/en/2015/12/17/the-perfection-of-the-snail/
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to bottom of sixth...Angels 3-3...well, I'll go with "Snail" as the Pythagoreans' totem, and "Diamondback Rattlesnake" as the Mayans...the Pythagoreans were persecuted...in the New World, geometers took over!....Ohtani with lead off hit...a more spectacular totem might be the Chambered Nautilus...mobilis n mobile...a hark to Jules Verne, and my Black Deck Tales...lol...one out...Calhoun up...'but the ping pong balls!?'
...brb..
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https://retrospectgalleries.com/product/rara-avis-ping-pong-balls/
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just needed a pic of them packed...gazing at this moore patterns set in....twos...threes...fours (in triangle, rhomboid)...that Pythagorean pyramid thing...and the hexagon...in the google images is a room with a whole wall covered with ping ping balls...tough to keep clean...so, this morning I thought of things in Nature like the ping pong balls...search: beaded gila monster skin; search; diamond rattlesnake skin; search: fish scales; search: bee honey combs...Nature has a 'grid' and it looks like the ping pong balls packed together...Twins have a runner, top of seventh...
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http://creationwiki.org/Gila_monster
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if it looks like what a tv screen does with pixels, it's exactly like what Nature does...and some import to how our memories work, the way computers store information with 0s and 1s...Twins scrap for a run...Twins 4-3...
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Many thousands of color-changing cells called chromatophores just below the surface of the skin are responsible for these remarkable transformations. The center of each chromatophore contains an elastic sac full of pigment, rather like a tiny balloon, which may be colored black, brown, orange, red or yellow.
https://ocean.si.edu/ocean-life/invertebrates/how-octopuses-and-squids-change-color
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Minoans were fond of Octopi!...seen on their pottery...another run scores on a double...Twins 5-3...
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Aristotle mentioned the ability of the octopus to change colour for both camouflage and signalling in his Historia animalium (ca 400 BC):[2]
The octopus ... seeks its prey by so changing its colour as to render it like the colour of the stones adjacent to it; it does so also when alarmed.
Chromatophores in the skin of a squid
https://en.wikipedia.org/wiki/Chromatophore
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woop!..this is a jump ahead, but seeing that, a surprise!, it might relate to this:...oh, Angels losing it...confused defense, and two more runs score...Twins 7-3...
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Roger Penrose - Forbidden crystal symmetry in mathematics and architecture
https://www.youtube.com/watch?v=th3YMEamzmw&t=2154s
a curious clip, and must see!...goes over what I'm reaching for...lemesee if I can find a better pic of that page...note the big design top right...bottom of seventh...one out...Angels...deflated...two out...Fletcher...base hit...LaStella grounds out...top of eighth...
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To understand the difference between crystals and quasicrystals, imagine a tiled floor. Hexagon-shaped tiles (with 6 sides) fit neatly next to each other to cover the entire floor. But if you lay down pentagons (5 sides) or decagons (10 sides) next to each other, you’ll end up with gaps between the tiles. In ordinary crystals, the atoms are packed closely together in a repeated and orderly fashion. But with quasicrystals, “the structure is saying ‘I am not a crystal, but on the other hand, I am not random either,'”
https://www.iflscience.com/space/crystal-forbidden-symmetry-found-45-billion-year-old-meteorite/
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site is so full of ads...another Twins home run...Twins 8-3...well, I've stepped off into a deep water hole...that squid skin looks to be a quasicrystal tiling pattern...there's only three shapes that really work for tiling...squares, diamonds, and hexagons...there are other combinations that can make a tiling, but it's always a smidge off, or some such...like "99.98" off, by off, there's a gap...
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to search
https://en.wikipedia.org/wiki/Quasicrystal
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this one goes on about water and quasicrystals...
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https://www.chemistryworld.com/news/water-takes-forbidden-form/3004283.article
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https://en.wikipedia.org/wiki/Penrose_tiling
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the fellow in the clip, Forbidden Symmetry...Ohtani up...about here one goes Blakeian...Tyger Tyger's "fearful symmetry"...Tyger Tyger a favorite double word!, and poem...full count...grounder fc...Pujols up...this is cool...
same wiki
anyway...time to feed Maya my dog...to top of ninth...Twins made out...to bottom of ninth...runner on...two out...Fletcher up...a hit!...LaStella up...5-3 ground out...Twins 8-3...
:)
DavidDavid
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