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Thanks very much, Luis.
Shows a bias in favor of modern math and a lack of understanding about Pythagorean math other than the detail of the Pythagorean theorem (Euclid I.47). The rest of the conclusions follow from the errors quoted above.The arrangement of numbers into a Magic Square reveals a language in terms of practical math that the ancient Chinese found useful and was part of a revered system of faith that was referred to as the Yi Jing. The Pythagorean Theorem exists within every Magic Square in the Luo Shu format and teaches the fundamentals of algebra which in turn could give man the tools to measure distances.
This math is the basis for land surveying as well as for charting the stars. The Chinese believed that the movement of the stars and celestial events such as eclipses greatly influenced life on earth. This use of numbers would help man to establish some order over the apparent chaos of the heavens; the Chinese believed that numbers (or math) contained a higher intelligence and if used properly could have a positive effect on the yin yang balance. The objective of the Yi Jing is for man to be at one with Heaven and earth and this math was used to help achieve this end.
Hi Erime and Robert,I was wondering whether you would be interested in how the Lo Shu has been used as one of the calibration devices when creating the Former and Later Heaven trigram sequences from the arrangements of the visible celestial bodies around a Taiji symbol?
Hello Robert,To Frank R.,
I need some more information such as what is the size (order) of the square? For example, is it a 3x3 Magic Square, a 5x5 Magic Square?
If you saw a number in the center of the square, by definition it must be an odd magic square. The problem is there are several hundred thousand arrangements of numbers for the 5x5 Magic Square, and over a million differnt arrangements for the 7x7 Magic Square!
Also, where did you see this magic square? Do you have a reference?
Robert Dickter, author of Number, Time, and Archetype and web master of www.luo-shu.com
Granet is writing on page 147: "... mag auf den ersten Blick überraschen, geht es doch um die Erklärung, daß die (ungerade) 5 zur Erde (die yin ist) und die (gerade) 6 zum Himmel (der yang ist) gehört. Sie bringt nur dann eine Erklärung, wenn man implizit begreift, daß bei ihrer Vereinigung Himmel und Erde ihre Attribute vertauschen."Wonderful square! I have not seen this before and the wonderful references you name are not available in English (if they are please let me know), although Marcet Granet is one of the great originals!!
The ten has replaced the one of the conventional Luo Shu. Here the square reflects a predominance of even numbers which form a cruciform shape with six as the center, while the odd numbers occupy the four quadrates. In Shang Chinese cosmology, the even numbers represent Earth so this particular square is the "Earth" and the Luo Shu, with its cruciform shape of odd numbers and five as the center is the "Heaven" square.
This square shows a Pythagorean triad of 6, 8, and 10. This is pretty good news!!
Perhaps the six symbolizing heaven is because it is the center of the square, the center also representing the non-being or wu state. And the five represents Earth because it is in the quadrate of the square and not the cruciform. [/url]
Granet is writing that these squires together explained the calender. 94+61=72+83;72+105=94+83. They are both in balance. But they also express both 360. They average between 354 and 366. 94+61+72+83 =2X155+310+50=360. The other figur makes 72+105+94+83=2x177+354+6=360 If we count twice 6(zenith and nadir which are surrounded by the four wind directions) to 354 we get 366 the Sun year.The cruciform shape was of high significance to the Shang Chinese and was represented by the Ya character, it means the center or centrality. The ya shape was the ground plan for royal tombs and the Ming Tang temple. The symbol is incorporated into the TLV Bonze mirrors and the Jade Bi disc, as well.
The constant of the above square is 18, while the total sum of the square is 54, or the product of the size of the square and the constant. The calendar correspondences you offer I do not understand. [/url]
As far as I know there is no magic squire of 11. But 11 is the holy wedding between Heaven and Earth. The victory over the duality Mind-Nature through the adept or Yogi. Maybe that's why there are also 11 meridians in acupuncture and not 12, what most people think.Do you think an eleven replacing the two would generate yet another magic square, this one with a cruciform shape of odd numbers and the even numbers in the four quadrates? [/url]
Nice work, Robert.
Here would be the next two squares, with 7 and 8 as the center cells, and the cruciform alternating with odd and even numbers.
This is a pattern which coud be written in mathematical terms and published.
Robert Dickter, author Number, Time, and Archetype and web master of www.luo-shu.com
I believe that you most likely have seen this square, and the one by Marolleau (which is rotated 180deg, with 05 on the upper left corner), but forgot the reference. It is in Lars Berglund's "The Secret of Luo Shu," pg 39 and goes on for a few pages. Do you still have it? If you don't, I can send you copies of those pages.Wonderful square! I have not seen this before and the wonderful references you name are not available in English (if they are please let me know), although Marcet Granet is one of the great originals!!
Never heard of that term so I had a look what it meant. 3,6,9,27,81,243, 729. If I understood it correct. 3,6,9 where we now speaking of. 27, the hexagram of the jaw,( the Temporo-mandibular joint). and 81 the central point of your last squire.Does it have something to do with balanced ternary notation????]
Hello Robert,Hello Comrade Frank,
I am a little slow at his hexagram / enneagram stuff. Don't know much about it at all.
Yes, that would be interesting but that is a bridge too far. But when I saw the numbers and the conversation we had on the TMJ I had to think about hexagram 27, for instance Karcher/LiSe translate this hexagram with Jaws.(http://www.yijing.nl/i_ching/hex_17-32/27-28.htm)But I have been studying the TMJ (the Temporo-mandibular joint) for over half my life and treat people with TMDs (Temporo Mandibular Disorders). You have peeked my interest.......
Are you saying that some magic squares, when translated by balanced ternary notation, make anatomical correspondences with the hexagrams???
The center of the body some feel is the TMJ, tell me more about the 27 hexagram and its centering qualities. ????
Nice to hear from you,
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