Does flipping a sub around also flip its polarity?

This question made my brain hurt so I had to make a video to explain it to myself. The answer is NO for the common subwoofers we encounter in the field that are closed in the back and have ports in the front. The answer would be YES if the sub were open in the back, but then the coverage pattern would be a figure-8, not omni.

- Why do you polarity invert the rear sub in a cardioid array?https://youtu.be/t-Ikv_uoLt0
- Phase Wheel https://www.merlijnvanveen.nl/en/study-hall/169-displacement-is-key
- FIGURE 4.12 Summation zones from Sound Systems: Design and Optimization by Bob McCarthy https://amzn.to/2Y02sLE
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I love to geek out about the physics of sound. This channel focuses on the growing opportunity for live sound engineers to improve their confidence and consistency through the understanding of the principles of sound system design and optimization. My goal is to make this channel upfront and honest about my success and failure, so you can learn from both.

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Видео Does flipping a sub around also flip its polarity? канала Nathan Lively