Visage on level 16 DPS alone and with specific items
The formula for Damage vs Attack Speed,
DPS = [(1 + IAS) / BAT] * AvgDMG
Since a level 16 Visage has 0.49+ IAS from agility, 1.7 BAT and 75 average damage, the DPS is as follows:
DPS=[(1+0.49)/1.7]*74=64,85.
For simplicity, we don’t count in Soul Assumption.
Against an average hero target of 10 armor:
The average reduction on such a target is as follows:
( 0.06 * 10 ) / ( 1 + 0.06 * 10 ) = 0.6 / 1.6 = 0.375 = 37.5%
Therefore, the final DPS after reduction is:
64,85-(.375*64,85)=40,54
Same thing with 6 of her level 3 Revenants:
DPS=(1/1.8)*52=28,(8)
It’s halved because of its damage type(piercing deals 50% damage to heroes)
=14,(4)
Since we got 6 of them,
14,(4)*6=86,(6)
Then it’s reduced by 10 armor
86,6-32,5= 54,1 DPS
Total DPS on level 16 with revenants = 54,1 + 40,54= 94,64 DPS
Let’s make a breakdown on items.
Desolator:
Damage Reduction for a hero with 4 armor:
(0.06*4)/(1+0.06*4)=100%-80.65%=19.35% damage reduction
Damage from Visage:
DPS=[(1+0.49)/1.7]*134=117,45
Damage from revenants: 86,6 DPS
Total Damage from Visage and her revenants without reduction=204,05
Total DPS with Desolator=204,05-(0.1935*204,05)=164,57 DPS
That’s a 73,89% damage bonus.
Necronomicon 3:
Because of the 2 new units and Necronomicon Warrior’s IAS aura, we must do most of the stuff over.
Visage DPS =[ (1+0.58)/1.7]*100 Avg damage=92,94 DPS
Revenants DPS= (1.09/1.8)*52=31,48
Halved, multiplied by 6=94.44 DPS
Damage of both necronomicons(without feedback) (1+0.09)/1*152 average damage=165,68
Halved since piercing damage is 50% to heroes=82,84
Feedback, unlike normal damage of the necronomicon is also reduced by hero armor type. Therefore, the formula is IAS*75*0.6*0.75*ArmorReduction for DPS.
Feedback – 1,09*45*0.75=36,79
Total DPS without armor reduction=307,01
With armor reduction=307,01-(.375*307,01)=191,89 total DPS.
The bonus is significantly higher –102,75%. Also, you get a +12 damage bonus at the end of the duration of Necronomicons(or earlier, should they die normally) because their death triggers soul assumption.
Assault Cuirass:
Damage Reduction for a hero with 5 armor:
(0.06*5)/(1+0.06*5)=100%-76.9%=23,1%
Visage’s DPS=(2,04/1,7)*74=88,8
Revenants DPS=(1,15/1,8)*52=33,(2)
Halved, multiplied by 6=99,6 DPS
Total DPS without armor reduction=188,4 DPS
Total DPS with armor reduction=188,4(0,231*188,4)=144,9 DPS
That’s a bonus of 53,1% damage.
2 items combinations
Necro 3 + Desolator:
Visage’s DPS=(1,49/1.7)*160=140,23
Damage of both necronomicons(no feedback) (1+0.09)/1*152/2=82,84
Revenants DPS=94.44 DPS
Feedback = 1,09*45*0.75=36,79
Total DPS without armor reduction=354,3
Total DPS with armor reduction = 354,3-(0,1935*354,3)=285,75 DPS
Desolator + Assault Cuirass:
Damage Amplification for a hero with -1 armor:
1-0.94^(1)=6%
Visage’s DPS=(2,04/1.7)*134=160,8 DPS
Revenants DPS=99,6 DPS
Total DPS without damage amplification=260,4
Total DPS with damage amplification=260,4*1,06=276,024 DPS
Hand of Midas + Radiance:
Visage’s DPS=(1,79/1.7)*134=141,1
Revenants DPS=86,6 DPS
Radiance burn aura – 30 DPS due to the fact that it’s magic damage.
Total DpS with armor reduction=227,7-(0,375*227,7)=142,31 DPS
With Radiance burn – 172,31 DPS.
As you can see, the DPS isn’t highly impressive. The key to make up the damage here is the radiance burn aura, which kills creeps around you in team fights,giving you a large boost in soul assumption. The lack of survival in items is also made up that way.
Rank:
1) Necro 3 + Assault Cuirass (288,52 DPS)
2) Desolator + Necro 3(285,75 DPS)
3) Desolator + Cuirass(276,02 DPS)