Further analysis:
DPS per block for AMCs has a local maximum at 180, meaning 180 would look kind of like a hill on a plot of DPS per block if it were plotted in such a way that you could actually see it. (I don\'t know the formulas, so could only plot my own data, and thus would miss any others that I haven\'t discovered, if they exist)
180-block AMC weapons have a DPS per block of 14.594083247334. To be more DPS-efficient than that as far as I have discovered, you have to drop down to 20 AMCs per weapon or less, and then you\'re less space-efficient (for the same DPS more space is needed, for spacing between cannons).
If you tried to fire a few thousand 1 AMC size cannons, you\'d turn the game into molasses, so we can disregard massive amounts of 1 AMC cannons, which are ridiculously DPS-efficient (38ish DPS per block).
180 shield blocks have a capacity of 25,720.32. One 180-AMC cannon has a DPS of 2626.93498452012. It would take 9.79 seconds to take down that shield.
If we have the same number of shield units as AMC units, and both are 180*guns:
1 guns: 9.79100090536748 seconds
2 guns: 7.77108665837262 s
3 guns: 6.7886511440946 s
4 guns: 6.16788706646231 s
5 guns: 5.7257506291667 s
As we increase the number of guns on the attacking ship and the number of shield units on the defending ship, it takes less and less time to knock down the shields. Put another way, it takes many more shield units to keep shield-down times constant versus increasing firepower because as you add more guns, firepower increases linearly, while there is no way to do that for shields, and the more shield blocks you add to your ship, the less efficient they get.
If you go all the way up to 166,500 shield blocks, and have the same number of AMCs on your attacking ship in 180-block guns (925 guns), you will have:
2,441,655.92 shield capacity
2,429,914.86 DPS
1.00483188044555 seconds for your shield to stay up.
If you say \"That\'s not enough!\" and double your number of shield blocks (against the same number of AMCs), they\'ll last for 1.59 seconds. If you use 10 times as many shield blocks as AMCs, you\'ll have 11 million shield capacity, but they\'ll still only last for 4.66 seconds against this amount of firepower. To get back up to just 9.7 seconds against 925 180-block guns, you would need 30 times as many shield blocks as AMC blocks.
Relevant formulas:
shieldCapacity = ((blocks*3.5)^0.66666)*350. blocks is 180*guns, or for the final result, 180*guns*30.
dpsPerGun = 339.4/(129.2/1000) for 180-block guns.
shieldCapacity / (dpsPerGun*guns) to get how many seconds shields will last.