THE MASTER KEY. Copyright © March, 2005. Anthony Walmsley. All rights reserved.
Reeling the Silk.
In “the classics” of TaiJi, we find the following. This order is always the same and is to be found in any number of instructional manuals.
The Great triad
The Five Elements
The Eight Trigrams
The Thirteen Postures
Assigning a numerical value to each, reveals a fact, which has never been previously noticed or investigated.
The Tao = 0
Wu Chi = 1
Tai Chi = 1
YinYang = 2
The Great triad = 3
The Five Elements = 5
The Eight Trigrams = 8
The Thirteen Postures = 13
The addition of two consecutive numbers produces the number that follows (2+3 = 5, 3+5 = 8 etc.), known in mathematics as the "Fibonacci Series". (Filius Bonacci, born in 1175 AD, nicknamed Fibonacci and formally known as Leonardo of Pisa.)
"Each succeeding number equals the sum of the two preceding it. The series converges to 1.618 ... an irrational number referred to as PHI. This ratio is identified with the 'golden mean' of the Greeks and the 'golden rectangle' of the Renaissance." (Prof. Paul D. MacLean, "The Triune Brain in Evolution", Plenum Press - N.Y. and
This mathematical series is used to describe the structure called a 'Logarithmic Spiral'. “.... the radiograph of the shell of the chambered nautilus (Nautilus pompilius), a beautiful and well known modern sea shell. The successive chambers of the nautilus are built on the framework of a logarithmic spiral. As the shell grows the size of the chambers increases but their shape remains unaltered."
(Courtesy Kodak Ltd.
, "The Divine
By H.E. Huntley.)
If we consider, ”As the shell grows the size of the chambers increases but their shape remains unaltered" and apply it to TaiJiQuan form practice we will see that: the postures of the form open/increase and close/decrease in size but their shape remains unaltered and by definition so does their structure.
During Taijiquan practice, a meditative or Alpha mode, 8 to 13 Hz, is aimed for and it is again worthy of note that these numbers, 8 and 13, are found in sequence in the Fibonacci Series.
The PHI (ø) ratio, or 'Golden Mean" (1:1.618), is arrived at by taking a line and dividing it at a single point, C, producing two unequal segments.
The smaller, AC, is proportionate to the larger, CB, as the larger is to the whole line, AB. Divided in this manner, any given line can contain only one PHI point.
Connecting the PHI points of a series of progressively smaller rectangles, beginning with the largest, gives us a Golden or Logarithmic Spiral, the YinYang Symbol.
“The 108° Structure” and the logarithmic spiral are intimately related.