PYTHAGORAS TETRAKTYS

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PYTHAGORAS TETRAKTYS
ROWS OF THE TETRAKTYS = MAGIC SQUARE CONSTANTS

1

2+3

4+5+6 =15 = Magic Square of 3x3 (M.Sq. 3)

7+8+9+10 = 34 = (M.Sq. 4)

11+12+13+14+15 = 65 = (M.Sq. 5)

16+17+18+19+20+21 = 111 = (M.Sq. 6)

22+23+24+25+26+27+28 = 175 = (M.Sq. 7)

29+30+31+32+33+34+35+36 = 260 = (M.Sq. 8)

37+38+39+40+41+42+43+44+45 = 369 = (M.Sq. 9)

46+47+48+49+50+51+52+53+54+55 = 505 = (M.Sq. 10)

Observe that the last digits on the right hand side: 1-3-6-10-15-21-28- etc form the Sequence of Triangular Numbers being, 1, 1+2=3, 1+2+3=6, 1+2+3+4=10, 1+2+3+4+5=15, 1+2+3+4+5+6=21 etc.
The Natural Square of 3x3 already has its 2 diagonals summing to 15.

This Magic Square of 3x3 has 3 vertical sums of 15, 3 horizontal rows of 15 and 2 diagonals of 15. Thus the Magic Square Sum or Constant is 15.

This ancient Pythagorean Triangle of 10 Dots in a Triangle was believed to contain the formation of the 5 Platonic Solids.

“The Pythagorean Tetraktys, revered by Platonists, was the square placed below the triangle; the latter or Trinity, embodying the invisible Monad - the Unity, and deemed too sacred to be pronounced except within the walls of a Sanctuary”. (-H.P. Blavatsky, Isis Unveiled, 11, 419)

The Tetraktys has its roots in an ancient Puzzle: Can you make this House using 8 lines, and without lifting your pencil from the paper? The Germans have an expression with 8 syllables: recited as they draw each line: “Das ist das Haus vom Ni-ko-laus”

“I remember as a 7 year old child, being thrilled that I could draw this House with 8 lines, unicursally, returning to the place that I started from”.

Jain 108
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Thank you. This is just...amazing. I can't wait to find a general formula for this and using advanced computing, generate the possible mantras in higher dimensions that eventually reflect our quantum reality!!

neuraaquaria
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to teach to children and make math beautiful again! just love the intention behind it too! Namaste to you xx

JOICoCo
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Such a fascinating and engaging explanation of the mystery of number derived from Tetraktys - beautiful

baronmallet
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The series of 5, 15, 34, 65, 111, and 175 are interesting in these are figurate numbers. 5 is a pentagonal number, 15 is a hexagonal number, 34 is heptagonal, 65 is octagonal, 111 is nonagonal, and 175 is decagonal.

randolphhall
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I loved watching this amazing presentation. Thank you Jain 🙏. I came to this as Iwas reading about Pythagoras Tetractys in Robert Places Tarot symbolism and history book. Very insightful in many depth. A bit shocked how the Swastika now has forever a very negative association, as misused by the Nazis!

ChrisMas
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Really fascinating stuff. Thanks for the video

Cremotor
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We started taking home extra maths homework at age 7 by choice. gave us comfort. we love what and all you do thank you! xx

JOICoCo
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Very good. I am a Jew. I study the Abramelin and this was helpful

kyppweatherill
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Hello !! Didn't anyone notice that you wrote the 4 in the wrong box ? (at 4.36)

TheGlenOgleBogle
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6:08 this reminds me of german history

Astrovic
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is there an end to your genius? I hope not.

baiukun
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0, 0/0, 1, /-1, 0area .25

0, 0/0, 1/-1, 1/0, -1 area .5

0, 1/-1, 0/0, -1/1, 0 area 1.

0, 0/0, 2/-2, 2/-2, 0 area 2

0, 0/4, 0/-2, -2/2, 2 area 4

And our math is based on graphs

Multiplication isn't wrong we are just associating multiplication =graphs.

And area 4 is a multiple of .25


I posted surface area deals with special right triangles. And they are being deleted off channels.

Humans are creatures of habit. What ever we teach the next generation they will repeat.




The area is dependent on special right triangles.

Area 4 has 16 while area 2 has 8. Area 1 has 4.
Area.5 has 2. Area .25 has 1. Special right triangles


Why it matters
Take a 1m by 1m square. Mark points half way from one corner.clock wise or conter clock wise. Cut off extra area. The hypotenuse of that half square is the length of the hypotenuse.

MarkusDarkess
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if you like all that stud read my fourmula theory in my about page

fourmula
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4:30 is just another example of your capability to screw up even to most basic of things...

pianodries
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You look Greek. I mean you look like Greeks.

IwannisKarpathiou