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This video is really eye opening, thanks for sharing!Very in depth video describing the split step, recovery step, cross step, preparation step, etc. in easy to understand conceptual terms. It's generalized to all sports but table tennis is featured briefly. The concepts seem like it can be applied to a lot of table tennis footwork. Also really jives with a lot of biomechanical concepts I implicitly understood when training combat sports and weightlifting, but it's never been explained as clear as in this video.
To make things less confusing I'll just refer to all these steps as an "x step" (the video calls it the "batsuju step", borrowing from Japanese swordsmasnship lingo).
Turn on subtitles of course if you don't understand Japanese.
Few things that apply to this thread (though there are many more).
1. The x step is a falling to ready position. There's no need to jump up. It's just a loosening of your body so that gravity drops you into a ready position.
2. The x step activates muscle contraction and takes advantage of gravity, both of which increase acceleration by borrowing momentum. It would seem like adding an additional movement prior to moving to the ball would increase time to the ball. But the additional x step makes up for it by allowing you to go quicker by priming your muscles and directing weight towards the intended location.
3. The x step doesn't always have to be balanced towards a neutral stance, it can favor taking a first step with the side opposite of the direction of travel. Example of this was showing FZD taking an x step backwards to align his body for quicker forwards travel. But for most circumstances, a neutral stance x step allows for best position for traversing laterally with the table (so the split step is taught as an ideal position after serving, for example).
Anyway, the whole video is worth a watch (or multiple views in my opinion).