@Dauvio:
When I first got here I call the punch formula the punch drunk formula because I din’t see any use for it since I had the ENIGMA (vann) FORMULAS. I was wrong. You can use the punch formula for strategic purposes. You attack once to weaken the enemies forces, then you retreat.
Now the punch formula is this, you add up all your strength (S) points, and you divide that by how many units (U) you have. That will tell you how strong (X) your force is for a one round battle.
S*U=X Punch is S/6 = hits inflicted in a single round
This approximately give the number of hit you will make.
But Sum of all combat points (Punch)* Hits = Stack strength allows to compare with opponent stack more accurately.
4 Tanks A3 vs 6 Infs D2 is same 12 Punch points or P/6 = for 2 hits.
But 124 =48 compared to 126 = 72
This showed that 1 round strafe can be much damaging to Tanks.
Even if 2 hits seems the avg,
it is 33.0% of loosing 2 Tanks vs 37% of loosing 2 Infs
But it is also 10% of loosing 4 Tanks compared to 6% of loosing 4 Infs.
Edit: After many trials on AACalc, it seems there is always an avg 4% better odds of survival from 50% loss to no loss at all on the Tanks side. For instance, 2 Tank loss or less is : 68.5% vs 2 Tanks or more: 64.5%
2 Inf loss or less is 68.5% vs 2 Inf or more is 69%
So, it seems that a greater number of lower rolls is less damaging.
Any explanation ?
http://calc.axisandallies.org/?mustland=0&abortratio=0&saveunits=0&strafeunits=0&aInf=&aArt=&aArm=4&aFig=&aBom=&aTra=&aSub=&aDes=&aCru=&aCar=&aBat=&adBat=&dInf=6&dArt=&dArm=&dFig=&dBom=&dTra=&dSub=&dDes=&dCru=&dCar=&dBat=&ddBat=&ool_att=Bat-Inf-Art-AArt-Arm-Sub-SSub-Des-Fig-JFig-Cru-Bom-HBom-Car-dBat-Tra&ool_def=Bat-Inf-Art-AArt-Arm-Bom-HBom-Sub-SSub-Des-Car-Cru-Fig-JFig-dBat-Tra&battle=Run&rounds=1&reps=10000&luck=pure&ruleset=AA1942&territory=&round=1&pbem=
Of course, it easily assessed by comparing hits on both sides, but in more complex case, the stack formula gives the best answer. Edit: I can not tell based on empirical tests.
Does stack formula is only useful for full fledge assault?
P.S. After reading carefully, you were not using the punch formula. Basically, we are talking about the same formula which I named Stack formula (based on Lanchester laws) short of a better name.
Now the punch formula is this, you add up all your strength (S) points, and you divide that by how many units (U) you have. That will tell you how strong (X) your force is for a one round battle.
S/U = X is only giving the average power of a given stack.
