I don't think recalculating thirds is quite as simple or as dangerous as it's made out to sound. Someone mentioned Andrew Ainslie saying you should always have twice as much gas as necessary to get out, right? Can we all agree that "standard thirds" in a cave with no flow that this would be true at the point of maximum penetration?
You start with both tanks at 3600psi in a cave with no flow (high flow makes everything more conservative). At 400psi, you notice a side passage you want to check out and write it down. You need 800psi to exit from there. Starting a dive TO there with 1200psi in those same tanks (or 3600psi in smaller tanks for equivalent volume) would mean turning at thirds there. You turn your dive at 2400psi being aggressive (800psi farther in), and exit to the point of the side passage. You reach the side passage with 1600psi left in your tanks. You need 800psi to exit, as was mentioned earlier. (1600-800)/3 means you've got at least 200psi to penetrate into that side passage. You are diving thirds of "non-reserve" gas into that side-passage, giving you twice the necessary gas to get back to gold where you'll have twice the necessary gas to get back to the surface.
Your reserves, through the whole dive, are constantly greater than or equal to twice the gas needed to exit.....and the dive was as aggressive as one could make it. Turning earlier (2600psi) would mean starting the side passage with 2000psi and having 400psi to explore if diving to recalculated thirds. I was not taught this, but would have no problems doing so depending on the cave and the day and how the rest of the dive was going. I've done this a bunch and always exited with plenty of gas left. I normally dive quarters when doing this. I know that past success is no guarantee of it being fail-proof (as we all know, people get away with bad habits for too long).
Let me reiterate that I'm a newish cave diver and clearly don't have the experience of the more veteran amongst us. This might be one reason why I'm so eager to continue the dive, to continue learning as much as possible. Maybe after a few hundred more cave dives I'll be more likely to be more conservative.


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