Ok, I've looked at it for a long time, and I keep coming up with the same conclusion. I've discussed it with a physics major/math minor and one other math person (as I'm somewhat a math person myself), and I have a question. And before you tell me to search, I've searched the forums every way I can think of and have come up with nothing in these forums, so I'll just ask and you can flame me if I've missed something obvious.
So here's the explanation of my question.
Ok, in the Power Limitations section of the book, the formula for determining the cost of a power is:
Real Cost = Active Cost/(1+Total Bonus from all Limitations)
Now, we'll say (for ease of understanding) that the active cost of a power is 60 points. Now, we want to put a 1/4 limitation on it.
The formula in the book states that we should divide the Active Cost (60) by 1 + the limitation bonus. So the formula we get is:
60/(1 + 1/4) or 60/1.25
It's easier to demonstrate my point in fractions, so let's convert. 1.25 is equal to 125/100 which simplifies to 5/4. So our new equation is 60 / (5/4). Since dividing by a fraction is equivalent to multiplying by it's inverse, this is the same as saying 60 x (4/5).
So, 60 x 4/5 = 48 (which if you use 60/1.25 it comes out the same, check your calculators if you don't believe me).
Here's where the actual question comes into play. We all know that 1/4 of 60 is 15 (60/4 if you want to test it). So it would seem that by putting a 1/4 limitation bonus on a power, we'd get 1/4 of the points back for it, so that a 60 pt power with a 1/4 limitation would cost 45 points (or 60 - [60 x (1/4)]). Now, obviously the more a power costs, the more pronounced this difference will be (at 60, the difference is 3, at 100 it's 5, etc). But, instead we only get 12 points back for it instead of 15. So, for a 1/4 limitation on a power, we actually only get a 1/5 bonus. Of course, this is *exactly* what the chart in the book describes which is what leads me to my question.
Following me here or have I lost people? I tend to think anyone that plays Hero System is pretty decent at math to begin with, so my apologies if this is too basic for some of you or over anyone's head.
So finally, I'll get to my question:
Was this done on purpose so that limitations were more of a penalty than the equivalent bonuses are a bonus (as the chart in the book would indicate), or was this a mistake in a formula?
I can certainly understand how it could be on purpose to ensure that the limitations truly were limitations, and to thwart power gaming a bit, but the way the limitation bonuses are described, it just seems like a mistake. I apologize for even bringing this up, but it's been driving me nuts wanting to know the truth behind the formula, and I certainly don't want to bring it up in my gaming group until I know for sure one way or the other. Thank you for your time )
- Gamerchick