Three minions... N minions... Help me out here.
Every minion is different and every set is different. If you're going for theoretical you may as well just make numbers up.
This model doesn't account for anything that actually happens in the game, like mezzes, defense, resistance, accuracy, tohit, or that jerkwad random number generator that seems to hate me so much.
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42 is the answer.
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Spherical minions won't do much harm, as I'll kick them and send them rolling down the hall/street/cave, where they'll run into other minions and they'll all end up in a giant minion ball-pool thing where I can stand back and just AOE them.
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This is actually pretty easy to figure out assuming you're assuming that in the time it takes you to kill one minion, all minions will do 5% of your total life. If we're not counting regen or healing, the most you can take is five. When there are six minions, you lose 30% of your life to kill one. When there are five, you lose 25%, etc. So it's like this:
6 - 30%
5 - 25%
4 - 20%
3 - 15%
2 - 10%
1 - 5%
...So any more than five and you're not going to get them all. Of course as every one else pointed out, this changes completely depending on the actual details.
Spherical minions won't do much harm, as I'll kick them and send them rolling down the hall/street/cave, where they'll run into other minions and they'll all end up in a giant minion ball-pool thing where I can stand back and just AOE them.
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If you're seriously interested in survivability analysis, which is what I think you're going for here, you'll want to look up Arcanaville's mitigation analysis spreadsheets. I believe that analysis abstracts "enemies" out entirely and just analyzes ability to cope with damage over time.
Note that this kind of analysis is only really applicable to ATs that accept hits as part of their playstyle. As soon as you throw control or massive frontloaded damage into the mix, this model goes straight out the window.
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Slightly off topic:
Does the OP remind anyone of issues 0 and 1, when for a brief period, enemies did not check for collision with each other? And when one could agro an entire zone map? The dumpster diving and the proximity mines... so glad I was only level 20 at the time and only read about it and watched it on youtube!
Man I forgot about those times. How far we have come!
Assuming you have only single-target damage, and you are fighting alone, how much damage will you take fighting N minions?
Assume a spherical minion of uniform harm, dealing x damage in the time it takes you to kill it. Clearly, 2 minions will do 3x damage. More generally, if d(1) = x, d(2) = 3x, and so on, then d(N+1) = d(N)+(N+1)x, which is triangle numbers and thus proportional to N^2.
But there's regeneration (which is linear with N, thus irrelevant). And there's AoE.
So... Realistically, in CoH, if fighting a single minion would be expected to drain you of 5% of your health, how many minions can you fight? (And yes, I know this fails miserably for, say, blasters, who can start a fight by quickly killing at least some...)