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March 19th, 2005, 01:29 PM
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First Lieutenant
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Join Date: Jul 2004
Location: Albuquerque, NM
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Re: Random Picks and Modding...
OK, scratch that old and busted formula; that was just something basic to start off on. Here's the new hotness:
sqrt(((HP*(10.0+Prot)*Def*MR)/1000.0)*((Str*Att)/10.0))*((3.0+Move)/5.0)*((40.0+AP)/50.0)*(9.0/(6.0+Enc))*((Mor^log10(7))/7.0)
Comments:
HP, Prot, Def, MR, Str, and Att are all wieghted the same now.
The square root does not encompass Move, AP, Enc, or Mor.
log10(7) = 0.84509804001425683071221625859264 (about), meaning that about 22 Mor is worth twice as much as 10 Mor (instead of just 20 Mor being worth twice 10). I chose to use a logarithm with base 10 so that, for unit with 10 Mor, the equation (Mor^log10(7))/7 will equal 1, so a unit with 10 Mor will be 'average'.
The basic idea is: sqrt(defensiveness*offensiveness)*other. I decided upon this because in a simplistic system where the units only have 2 stats, HP and Damage, an ideal cost formula is sqrt(HP*Damage).
I counted MR as a defensive capability, but it could be brought out of the square root to be weighted more heavily.
I didn't really know what to do with Enc, so I just threw it in so that a unit with 0 Enc is worth 50% more than the same unit but with 3 ('normal') Enc, and the same unit but with 12 Enc is worth half as much.
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March 19th, 2005, 01:55 PM
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First Lieutenant
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Re: Random Picks and Modding...
I have a n00b modding question: How much is the 4th magic school worth? Ive been counting it the same as the 3rd school (10, 30, 50) so far... so that F2E2D1?1 costs 183.75.
Also, a few questions about your costs:
How much did poison resistance end up being worth? 10, same as elemental resistance? Less?
What about being an animal? I would think that does more harm than good, right?
50% increase for sacred troops, but not commanders, right?
Is the capital only reduction 10% or 20%?
One more question: What's with the 'Death Poison'? How much damage does it do?
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Every time you download music, God kills a kitten.
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March 19th, 2005, 04:57 PM
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Major General
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Join Date: Oct 2003
Location: Crystal Tokyo
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Re: Random Picks and Modding...
Death Poison: 35 damage IIRC. Animal is a negative feature.
As for morale value... it's sort of an s-curve with the steepest part around 9, with asymptotes at maybe 5 and 16. I can't think of an s-curve equation offhand.
At any rate, morale 14 is perhaps twice as valuable as morale 10... and above that it doesn't matter much. From my observations.
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March 19th, 2005, 06:26 PM
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First Lieutenant
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Join Date: Jul 2004
Location: Albuquerque, NM
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Re: Random Picks and Modding...
Quote:
Saber Cherry said:
As for morale value... it's sort of an s-curve with the steepest part around 9, with asymptotes at maybe 5 and 16. I can't think of an s-curve equation offhand.
At any rate, morale 14 is perhaps twice as valuable as morale 10... and above that it doesn't matter much. From my observations.
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Hmm... so perhaps I took the wrong approach.
How about : (((x/10)-1)^(1/3))+1
Code:
Morale Cost
6 0.26
7 0.33
8 0.42
9 0.54
10 1.00
11 1.46
12 1.58
13 1.67
14 1.74
15 1.79
16 1.84
17 1.89
18 1.93
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Every time you download music, God kills a kitten.
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March 20th, 2005, 03:30 AM
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Corporal
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Join Date: Jan 2004
Location: Wilmington, Delaware, USA
Posts: 191
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Re: Random Picks and Modding...
Quote:
Saber Cherry said:
As for morale value... it's sort of an s-curve with the steepest part around 9, with asymptotes at maybe 5 and 16. I can't think of an s-curve equation offhand.
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You can generate s-curves (gamma curves) by integrating normal or polynomial distributions. In this case, integrating the distribution of 5 three-sided dice will get you almost the distribution you want: range of 5-15, with the steepest slope at 10.
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March 20th, 2005, 07:20 AM
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Major General
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Location: Crystal Tokyo
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Re: Random Picks and Modding...
Quote:
Evil Dave said:
Quote:
Saber Cherry said:
As for morale value... it's sort of an s-curve with the steepest part around 9, with asymptotes at maybe 5 and 16. I can't think of an s-curve equation offhand.
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You can generate s-curves (gamma curves) by integrating normal or polynomial distributions. In this case, integrating the distribution of 5 three-sided dice will get you almost the distribution you want: range of 5-15, with the steepest slope at 10.
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Thanks  Actually, I play Dominions to get away from math (especially calculus) but for some reason it keeps popping up... 
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March 20th, 2005, 02:51 PM
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Corporal
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Join Date: Jan 2004
Location: Wilmington, Delaware, USA
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Re: Random Picks and Modding...
Quote:
Saber Cherry said:
Actually, I play Dominions to get away from math (especially calculus) but for some reason it keeps popping up...
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Really? Wow.  From reading this thread and the others on modding and balance, I'd concluded:
1) You and the other good/knowledgable players really liked math.
2) The reason I'm not very good at Dom2 is that I wasn't using enuf math, and was worrying too much about silly notions like reducing the other side's ability to fight. 
__________________
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--Helmut von Moltke
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March 20th, 2005, 06:17 PM
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Major General
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Location: Crystal Tokyo
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Re: Random Picks and Modding...
Quote:
Evil Dave said:
Really? Wow. From reading this thread and the others on modding and balance, I'd concluded:
1) You and the other good/knowledgable players really liked math.
2) The reason I'm not very good at Dom2 is that I wasn't using enuf math, and was worrying too much about silly notions like reducing the other side's ability to fight.
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Hmm... maybe I was kidding a little. I actually like math, until people start talking about eigenvalues and integrating high-degree trig functions 
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March 21st, 2005, 03:50 PM
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Second Lieutenant
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Join Date: Feb 2004
Location: Titusville, FL
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Re: Random Picks and Modding...
Quote:
Evil Dave said:
Really? Wow. From reading this thread and the others on modding and balance, I'd concluded:
1) You and the other good/knowledgable players really liked math.
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I love math, and I love to generate statistics. However, I am neither very good or very knowledgeable about this game.
Quote:
2) The reason I'm not very good at Dom2 is that I wasn't using enuf math, and was worrying too much about silly notions like reducing the other side's ability to fight.
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*chuckles* Nah. I'm just trying to find something to occupy my mind, and I came up with this.
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Scott Hebert
Gaming Aficionado
Modding Beginner
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