Post by Phoenix » 07 Sep 2012, 04:08
The basic equation for Character Sheet HP where V=Vitality, L=%Life (ie., 1% Life = 1):
HP = (276 + V*35) * (1 + L/100)
Taking the partial derivatives:
dHP/dV = 35+35/100*L
dHP/dL = 2.76+0.35*V
Now assuming that 200 Vit = 12% Life for most items (
http://diablo.incgamers.com/blog/commen ... look-chart), we have:
dHP/dV * 200/12 = dHP/dL
583 + 5.83*L = 2.76 + 0.35*V
L = (0.35*V-580)/5.83
Which means that given V vitality, you should optimally equip L life:
Caveats: Trading 1 stat for another is seldom simple. I used the ratio of the max possible roll on Belt,Chest,Helm,Shoulder (200/16=16.7 vit per %life). Using a comparison of different items will change the numbers (Amulet: 300/16=18.8). Another example might be gem based (34/12=2.83), changing the comparison drastically (I think this is flawed, but YMMV).
Comments: I did this analysis in a rather short period of time, its not unlikely I made a mistake. Corrections welcomed.
The basic equation for Character Sheet HP where V=Vitality, L=%Life (ie., 1% Life = 1):
HP = (276 + V*35) * (1 + L/100)
Taking the partial derivatives:
dHP/dV = 35+35/100*L
dHP/dL = 2.76+0.35*V
Now assuming that 200 Vit = 12% Life for most items (http://diablo.incgamers.com/blog/comments/item-affix-quick-look-chart), we have:
dHP/dV * 200/12 = dHP/dL
583 + 5.83*L = 2.76 + 0.35*V
L = (0.35*V-580)/5.83
Which means that given V vitality, you should optimally equip L life:
[code]V L
1657 0
1800 8.6
1900 14.6
2000 20.6
2100 26.6
2200 32.6[/code]
Caveats: Trading 1 stat for another is seldom simple. I used the ratio of the max possible roll on Belt,Chest,Helm,Shoulder (200/16=16.7 vit per %life). Using a comparison of different items will change the numbers (Amulet: 300/16=18.8). Another example might be gem based (34/12=2.83), changing the comparison drastically (I think this is flawed, but YMMV).
Comments: I did this analysis in a rather short period of time, its not unlikely I made a mistake. Corrections welcomed.