At his Classical Tai Chi blog, Jim Roach has some interesting thoughts on two modes of practicing the taijiquan form. An excerpt is below. The full post may be read here.
My own teacher, Stephen Hwa, Ph.D., did seminars for Jou Tsung-Hwa's students and he told me in an email that Jou Tsung-Hwa was “…someone who was in search of the truth in Tai Chi, and I would like to meet him…”. Master Jou was the author of The Tao of Tai-Chi Chuan. He used the analogy of a film to explain the movement of Tai Chi. He stated that when viewed as individual, static poses, the movements make no sense. The proper motion and meaning are only perceived when the "frames" are put together and performed fluidly as a continuous sequence. The "Film" analogy teaches several core concepts of Tai Chi practice that can aptly be applied to Classical Tai Chi.
In the numerous styles, there is really only one that has a “round” form and a “square” (fang) form. The Wu Style, with all its own derivatives, often surprises people with the direct opposite requirement between Square and Round.
The direct opposite requirement is not unique, however:
I am echoing Master Hwa as I relate my own experience. Just think how one learns the art of calligraphy. My own teacher echoes this in the video link. My own experience had me learning Chinese Calligraphy, how to write in print form (brush and ink, of course). Then I studied a smidgen of cursive calligraphy. The differences between these two writing forms are analogous to the differences between those two Tai Chi Forms.
Square Form is analogous to the block printing of (pinyin) Kai Style, or what is called “Kai Shu”. The round form is analogous to Tsao Style or "Tsao Shu/Cao Shu" or the cursive script.
In Square Form, as in calligraphy, movements occur along relatively straight lines between points (the start and end points of inflection). The Round Form, with its curves, has the curves passing through those points. The Square Form is like a template for the Round Form. As you see, the curves go through the points where the lines meet.
Again, merely echoing my teacher, who was a Ph.D. engineer and scientist at Xerox Corporation. Like the Calculus of Mathematics; however, I would point out that the Round Form is like the calculus, which integrates a tiny segment of a curved motion as a straight line to form the curved motion. A Square Form is like taking one of the small straight lines and expanding it into a straight movement. The way of the universe uses principles that govern everything that appears unrelated.

2 comments:
Interesting, currently learning the Square form Wu. Good to hear the difference. Coming from. Chen/Yang background when not being corrected by the teacher I tend to slip into a hybrid of both.
I worked on the Wu Family style for several years, before deciding to put all of my effort into the CMC form that I had already learned.
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