Inflection Point

by Kelvin Ho on 2020/10/14

Inflection points in differential geometry are the points of the curve where the curvature changes its sign. In the illustration below, it is when the tangent turns red or when the curve intersects with the X axis in this case.



The 2nd illustration shows how a rotation of circle can be represented as a sine curve. In this case, the tracing of a dot on the circle starts at 3 o’clock and goes counterclockwise. The inflection point is at 9 o’clock, at which the dot starts the 2nd half of the circle, and is on its way back to the starting point.

Simply put, it is the midpoint of an S-curve, which actually represents a taiji circle as described in http://practicalmethod.com/2016/12/s-curve-is-really-the-circle/.

Master Chen Zhonghua always emphasizes the need to go over or to the other side. What are we going over? It is the inflection point that we need to go over. The other side lies beyond the inflection point.

About Kelvin Ho

Kelvin Ho, Master Chen Zhonghua's disciple, is the instructor for Practical Method Toronto. He has been teaching and promoting the Practical Method system in Toronto, Markham, Richmond Hill, Canada since 2011. He has received numerous medals in various Taiji competitions in Greater Toronto Area. He is also a vice-president of MartialArts Association Canada. Like his teacher, he feels an obligation to pass this great art onto others. Contact: kelvin.ho@practicalmethod.ca.

{ 2 comments… read them below or add one }

Brian Chung October 15, 2020 at 4:51 am

Great article! Related terms include the demarcation dot, threshold, point of reference.

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Brian Chung October 15, 2020 at 5:16 am

The first illustration clearly distinguishes which side the tangent is on and when it goes to the other side.
The second illustration shows the covering of Space and Time. http://practicalmethod.com/2012/06/space-and-time-online-video-trailer/

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