At the bottom of this post, wodan put a few numbers to get the strength of Classic, Revised and G40 Tank.
Is there any maths genious who can sort out the equation he used?
IMO, it may be near Enigma formula.
Thanks.
@wodan46:
@Veqryn:
KEPT the tank at the pre-revised stats of 3-2-2-5
Hmm.
For 20 IPCs
4 Tanks=12 Attack, 8 Defense, 4 Hits
5 M-Infantry=5 Attack, 10 Defense, 5 Hits
For 21 IPCs
3 Artillery, 3 Infantry=12 Attack, 12 Defense, 6 Hits
7 Infantry=7 Attack, 14 Defense, 7 Hits
Interesting. That actually works a lot better. Tanks are still clearly the best way of projecting offense, but M-Infantry are better at securing territories. Artillery/Infantry are the best all around force, but move slower, and Infantry have the best defense/health, but have pathetic attack and move.
Also, M-Infantry are going to be really bad for Invasions, as when transported, they are the same as Infantry, but take up the better slot of the Transport and cost more.
In fact, the full statistics are below:
1 Movement Force
Infantry=1.40 Attack, 2.80 Defense, 1.40 HP
Infantry/Artillery=2.40 Attack, 2.4 Defense, 1.20 HP
2 Movement Force
M-Infantry=1.05 Attack, 2.10 Defense, 1.05 HP
Tanks(Original)=2.52 Attack, 1.68 Defense, 0.84 HP
Tanks(Revised)=2.52 Attack, 2.52 Defense, 0.84 HP
Tanks(1940)=2.10 Attack, 2.10 Defense, 0.70 HP
Tank(Original)/M-Infantry=1.88 Attack, 2.35 Defense, 0.94 HP
OK, I found he used a 420 IPCs basis/100.
If I use Infantry as the basic reference: 420 IPCs/140
If all these units have the same 3 IPCs cost, here is what you would get for:
1 Movement Force
Infantry= 1.00 Attack, 2.00 Defense, 1.00 HP
Artillery= 1.50 Attack, 1.50 Defense, 0.75 HP
Infantry/Artillery= 1.71 Attack, 1.71 Defense, 0.86 HP
2 Movement Force
M-Infantry= 0.75 Attack, 1.50 Defense, 0.75 HP
Tanks (Original)= 1.80 Attack, 1.20 Defense, 0.60 HP
Tanks (Revised)= 1.80 Attack, 1.80 Defense, 0.60 HP
Tanks (1940)= 1.50 Attack, 1.50 Defense, 0.50 HP
Tank (Original) A3D2/MI A1D2= 1.33 Attack, 1.33 Defense, 0.67 HP
Tank (Revised) A3D3/MI A1D2= 1.33 Attack, 1.67 Defense, 0.67 HP
Tank (1940) A3D3/MI A1D2= 1.20 Attack, 1.50 Defense, 0.60 HP
Artillery + MI A4 D4, 2 hits = 1.50 Attack, 1.50 Defense, 0.75 HP
It is also possible to use the Enigma formula with a small addition to get the relative strength between each unit:
36PowerHP/cost^2= Strength factor
And since it is all 3 IPCs basis 3^2 = 9, a
simpler formula of Enigma for 3 IPCs: 4PowerHP = Strength factor
1 Movement Force
Infantry= 1.00 Attack, 2.00 Defense, 1.00 HP
3611/9= 4.00 3621/9= 8.00
Artillery= 1.50 Attack, 1.50 Defense, 0.75 HP
361.5.75/9 = 4.50
Infantry/Artillery= 1.71 Attack, 1.71 Defense, 0.86 HP
361.71.86/9= 5.88
2 Movement Force
M-Infantry= 0.75 Attack, 1.50 Defense, 0.75 HP
36*.75*.75/9 = 2.25 361.5.75/9 = 4.5
Tanks (Original)= 1.80 Attack, 1.20 Defense, 0.60 HP
361.8.6/9 = 4.32 361.2.6/9= 2.88
Tanks (Revised)= 1.80 Attack, 1.80 Defense, 0.60 HP
Simplified formula: 41.8.6= 4.32
Tanks (1940)= 1.50 Attack, 1.50 Defense, 0.50 HP
41.5.5= 3.00
Tank (Original) A3D2 + MI A1D2= 1.33 Attack, 1.33 Defense, 0.67 HP
41.33.67= 3.56
Tank (Revised) A3D3 + MI A1D2= 1.33 Attack, 1.67 Defense, 0.67 HP
41.33.67= 3.56 41.67.67= 4.48
Tank (1940) A3D3 + MI A1D2= 1.20 Attack, 1.50 Defense, 0.60 HP
41.20.60= 2.88 41.50.60= 3.60
Artillery + MI A4 D4, 2 hits = 1.50 Attack, 1.50 Defense, 0.75 HP
41.50.75= 4.50
So, when on the same IPCs basis, the underlying factors in Vann and now Enigma formula was simply:
PowerHP ( 36/cost^2) = Strength factor
Assuming Power and HP can be a fraction from reference unit.
Above, I choose Infantry A1 C3, 1 hit as reference unit.
And *36 or *4 was simply a factor to get whole number results for Tank C6 and Inf C3
This give for each ground unit, without this little multiplying factor, these attack and defense factors:
Ground units:
1 Movement Force
Infantry= 1.00 Attack, 2.00 Defense
Artillery= 1.125 Attack, 1.125 Defense
Infantry/Artillery= 1.47 Attack, 1.47 Defense
2 Movement Force
M-Infantry= 0.5625Attack, 1.125 Defense
Tanks (Original)= 1.08 Attack, 0.72 Defense
Tanks (Revised)= 1.08 Attack, 1.08 Defense
Tanks (1940)= 0.75 Attack, 0.75 Defense
Tank(Original) A3D2 + MI A1D2= 0.89 Attack, 0.89 Defense
Tank(Revised) A3D3 + MI A1D2= 0.89 Attack, 1.12 Defense
Tank(1940) A3D3 + MI A1D2= 0.72 Attack, 0.90 Defense
Artillery + MI A4 D4, 2 hits = 1.125 Attack, 1.125 Defense
These values allows to easily compared with Infantry A1 D2 to know below or above Infantry strength a given unit is.
Eventually, it will be possible to derivate this formula from Stack formula (based on Lanchester’s Laws).
Aircrafts:
Fighter A3 D4 C10, 1 hit becomes 3/10 in Inf basis=
0.90 Attack 1.2 Defense, .30 HP
Strength factor: .90.30= 0.27 Attack, 1.2*.30= 0.36
Strategic Bomber A4 D1 C12, 1 hit becomes 3/12 in Inf basis=
1.00 Attack 0.25 Defense, .25 HP
Strength factor: 1.000.25= 0.25 Attack, 0.25*.25= 0.0625
Tactical bomber A3-4 D3 C11, 1 hit becomes 3/11 in Inf basis=
0.82-0.91 Attack 0.82 Defense, .273 HP
Strength factor: .82.273= 0.224 .91*.273= 0.248 Attack,
0.82*.273= 0.224 Defense
Combined Arms:
Tactical Bomber & Tank A7 D6 C17, 2 hits becomes 3/17 in Inf basis=
1.235 Attack 1.059 Defense, 0.353 HP
Offense factor: Defense factor:
1.2350.353 = 0.436 1.059*0.353= 0.374
Tactical Bomber & Fighter A7 D7 C21, 2 hits becomes 3/21 in Inf basis=
1.00 Attack 1.00 Defense, 0.286 HP
Offense factor: Defense factor:
1.000.286= 0.286 0.286
WARSHIPS:
Submarine A2 D1 C6, 1 hit becomes 3/6 in Inf basis=
Regular: 1.00 Attack 0.50 Defense, 0.5 HP
Surprise strike: 1.50 Attack 0.667 Defense
Offense factor: Defense factor:
1.000.5= 0.500 0.500.5= 0.250
Surprise strike:
1.500.5= 0.750 0.667*0.5= 0.333
Destroyer A2 D2 C8, 1 hit becomes 3/8 in Inf basis=
0.75 Attack 0.75 Defense, 0.375 HP
Offense factor: Defense factor:
0.750.375= 0.281 0.281
Cruiser A3 D3 C12, 1 hit becomes 3/12 in Inf basis=
0.75 Attack 0.75 Defense, 0.25 HP
Offense factor: Defense factor:
0.750.25= 0.188 0.188
1942.2 Carrier A1 D2 C14, 1 hit 3/14 in Inf basis=
0.214 Attack 0.418 Defense, 0.214 HP
Offense factor: Defense factor:
0.2140.214 = 0.046 0.418*0.214= 0.092
1942.2 Carrier Full Fighters A7 D10 C34, 3 hits 3/34 in Inf basis=
0.618 Attack 0.882 Defense, 0.265 HP
Offense factor: Defense factor:
0.6180.265 = 0.164 0.882*0.265= 0.233
G40 Carrier A0 D2** C16, (**2 hits = 1.618034) 3/16 in Inf basis=
0.00 Attack 231.618034/16= 0.607 Defense, 31.618034/16= 0.303 HP
Offense factor: Defense factor:
0.000.607 = 0.00 0.6070.303= 0.184
Battleship A4 D4 C20, 2 hits, (**2 hits = 1.618034) 3/20 in Inf basis=
431.618034/20 = 0.971 Attack 0.971 Defense, 0.243 HP
Offense factor: Defense factor:
0.9710.243 = 0.236 0.236
Both values for 2 hits Carrier and Battleship are correct since you can use Baron-Larrymarx values /4 and gets the number above.