Jing Fang's Puzzle




Jing Fang (78 - 37 BC) was born in Henan, China. During the rule of Emperor Yuan of Han, he was an appointed official at the “Bureau of Music”. Emperor Yuan (75 - 33 BC) was a Confucian and a well-intentioned ruler, who was badly manipulated by some of his advisors.

Wikipedea reports:

“In 37 BC. another Confucian scholar would try his luck at shaking the influence of the Imperial Advisor Shi Xian. That man was Jing Fang (京房), who, in addition to studying Confucianism, was also an accomplished fortuneteller. (It should be noted that at this time, fortunetelling was still considered to be a part of Confucian studies - indeed, a highly honored part. It was not until several decades later that Confucians began to disfavor fortunetelling.) Jing Fang had become a trusted advisor of Emperor Yuan. The Emperor greatly favored Jing’s proposed system for examining and promoting regional officials. Jing Fang accused Shi Xian, and his assistant Wulu Chongzong, of being corrupt and evil. Initially, Emperor Yuan believed him, but took no actions against Shi and Wulu.



JingFang





When analyzed only geometrically, this square contains four distinctly different patterns. Of these four, only two might fit together. I believe though, that these are actually four totally separate patterns. Furthermore, it seems reasonable to conclude that they are each one quarter of four different Magic Squares. If Jing Fang wanted to hide knowledge, but not have it lost, this would be a brilliant way to do it. Given a proper group of 16 hexagrams (eight pairs), it should be possible to reconstruct the rest of a Magic Square from it.



Jing Fang Geometry

JingFangGeometryABCD1.pngJingFangGeometryABCD2.png





Here are the four separate patterns


Jing Fang A Analyzed

JingFangGeomA






Jing Fang C Analyzed

Music Intro Pg




Here are all the possible pair combinations of these four patterns. Only Jing Fang A and B really fit together, the other pairs of combinations seem hopelessly unbalanced. Although it is a bit complicated to explain, there does exist a relationship between them all. I have carefully analyzed all four, and found them to be very interesting. Please explore these four hyperlinks.
                      Jing Fang A Analyzed    Jing Fang B Analyzed

                      Jing Fang C Analyzed    Jing Fang D Analyzed


Jing Fang A and B

Music Intro Pg





Jing Fang A and D

Music Intro Pg





Jing Fang B and C

Music Intro Pg



Up To Top



Jing Fang A Analyzed

Jing Fang B Analyzed

Jing Fang C Analyzed

Jing Fang D Analyzed


Shi and Wulu soon found out and fought back by accusing Jing of conspiring with Emperor Yuan's brother Liu Qin, the Prince of Huaiyang, and Prince Qin's uncle, and Jing was executed.”

“It is recorded that he was executed by beheading in the marketplace in 37 BC under the Emperor's orders after he allegedly slung false accusations at a high official for infringing upon the law”


Jing Fang was highly intellegent and multi-talented. He was a music theorist, mathematician and astrologer. He was also known to be very good with the I Ching. It is my belief that Jing Fang, as many knowledgeable people did, hid some of his knowledge from the unworthy. After his execution, much of his work was either lost or destroyed. We are very fortunate that any of his work has survived “the sands of time”. Here is his arrangement of the 64 Hexagrams.





JingFangNumbers





It's very pleasant to report, that is indeed the case. The first one of these four has been found, Jing Fang’s Magic Square A , based on the 8 pairs found in Jing Fang A. The key is that the hexagram pairs are closely related. Finding the other three (or more) will take a very long time.







JingFangAJingFangA

The geometry clearly shows these four patterns.






Jing Fang B Analyzed

JingFangGeomB






Jing Fang D Analyzed

JingFangGeomD
















Jing Fang A and C

Music Intro Pg





Jing Fang B and D

Music Intro Pg





Jing Fang C and D

Music Intro Pg