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<blockquote data-quote="Cheiromancer" data-source="post: 3751940" data-attributes="member: 141">Thanks for pointing it out.&nbsp; I wouldn't have noticed it, otherwise (the new page makes it easy for edits to slip by).I think I made a mathematical error, though, when I was setting the benchmarks.&nbsp; (Easy to do in these kinds of calculations!).&nbsp; If 2 Ogre4s are going to have a 50/50 shot against an Ogre6, an Ogre6 has to be 4 times the power of an Ogre4. That follows from Lanchester's square (he has to kill twice as many opponents will withstanding two attackers).&nbsp; So the Ogre16 has to be 12 quadruplings of power over the Ogre4; not 12 doublings.&nbsp; That's quite a beast.However, under these assumptions a 6th level fighter should have a 50/50 chance against an Ogre4.&nbsp; So a 20th level fighter should have a 50/50 chance against an Ogre18.&nbsp; I have to run, but if no-one has done it by the time I come back I'll stat out an Ogre18.&nbsp; It should be quite a monster.My argument is that a character's CR is their level minus 2.&nbsp; Four characters will be the equivalent of a monster 4 higher (two doublings at +2 CR per doubling).&nbsp; And so a party of four 4th level characters should have a power of 4 times that of a CR 4 monster.&nbsp; In other words a CR 4 monster should use up 25% of their resources.That's assuming that the exponential power curve is a strict law.&nbsp; Actual characters and monsters will vary.</blockquote>

[QUOTE="Cheiromancer, post: 3751940, member: 141"] Thanks for pointing it out. I wouldn't have noticed it, otherwise (the new page makes it easy for edits to slip by). I think I made a mathematical error, though, when I was setting the benchmarks. (Easy to do in these kinds of calculations!). If 2 Ogre4s are going to have a 50/50 shot against an Ogre6, an Ogre6 has to be 4 times the power of an Ogre4. That follows from Lanchester's square (he has to kill twice as many opponents will withstanding two attackers). So the Ogre16 has to be 12 quadruplings of power over the Ogre4; not 12 doublings. That's quite a beast. However, under these assumptions a 6th level fighter should have a 50/50 chance against an Ogre4. So a 20th level fighter should have a 50/50 chance against an Ogre18. I have to run, but if no-one has done it by the time I come back I'll stat out an Ogre18. It should be quite a monster. My argument is that a character's CR is their level minus 2. Four characters will be the equivalent of a monster 4 higher (two doublings at +2 CR per doubling). And so a party of four 4th level characters should have a power of 4 times that of a CR 4 monster. In other words a CR 4 monster should use up 25% of their resources. That's assuming that the exponential power curve is a strict law. Actual characters and monsters will vary. [/QUOTE]

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