THE POINT OF THIS POST
What I'm doing is simple: I'm going to discuss - independent of packs and deployables - the weapon combinations available to Tribes armors both historically and extrapolating to T:V.
THERE WILL BE SEVERAL PARTS
- I'll discuss raw possible combinations of several models.
- I'll discuss possible combinations ashuming disc launcher as a "must have" weapon.
- I'll discuss possible combinations with the medium and heavy having a second "must have" weapon.
- I'll analyze it all.
Part 1, or the raw combinations, and thoughts on them.
Tribes 1 has the following weapons...
Disc Launcher
Chaingun
Blaster
Grenade Launcher
Plasma Rifle
ELF
Mortar
Laser Rifle
For a total of eight weapons available to the players.
How does one calculate the number of combinations
without repeating any combinations in a different order?
With this formula...
Code:
n!
n_c_k = ----------
k!(n - k)!
For us, n is the number of available weapons, and k is the number of available slots to stuff them in. The c is the "combination" operator that performs the equation on the right.
n! is n factorial, which is equal to n*(n-1)*(n-2)*....*2*1 (stolen from Dr. Math because I'm lazy.)
In T1, the light could use 7 weapons and 3 weapon slots. He couldn't use the mortar. Therefore:
7c3 = 7! / 3!*4! = 5040 / 144 = 35
We can repeat this to discover the data for the light with up to 7 slots, down to no slots.
7c0 = 1
7c1 = 7
7c2 = 21
7c3 = 35
7c4 = 35
7c5 = 21
7c6 = 7
7c7 = 1
And the same can be applied to the medium, with his 6 weapons.
6c0 = 1
6c1 = 6
6c2 = 15
6c3 = 20
6c4 = 15
6c5 = 6
6c6 = 1
And the same can be applied to the heavy, with his 7 weapons.
7c0 = 1
7c1 = 7
7c2 = 21
7c3 = 35
7c4 = 35
7c5 = 21
7c6 = 7
7c7 = 1
So in T1, there were this many raw weapon combinations available...
Light = 35
Medium = 15
Heavy = 21
Tribes 2 has the following weapons...
Disc Launcher
Chaingun
Blaster
Grenade Launcher
Missile Launcher
Shocklance
ELF Gun
Mortar
Laser Rifle
Plasma Gun
The light could carry eight different weapons (no mortar, no missile launcher.)
8c0 = 1
8c1 = 8
8c2 = 28
8c3 = 56
8c4 = 70
8c5 = 56
8c6 = 28
8c7 = 8
8c8 = 1
The medium could carry eight different weapons (no mortar or laser rifle.)
8c0 = 1
8c1 = 8
8c2 = 28
8c3 = 56
8c4 = 70
8c5 = 56
8c6 = 28
8c7 = 8
8c8 = 1
The heavy could carry nine different weapons (no laser rifle.)
9c0 = 1
9c1 = 9
9c2 = 36
9c3 = 84
9c4 = 126
9c5 = 126
9c6 = 84
9c7 = 36
9c8 = 9
9c9 = 1
In T2, this meant the following set of possible combinations...
Light = 56
Medium = 70
Heavy = 126
In T:V, we know we have the following weapons and we know the following restrictions...
Disc Launcher
Chaingun
Blaster
Rocket Pod (medium and heavy only)
Grenade Launcher
Sniper Rifle (light only weapon)
Mortar (heavy only weapon)
Burner
UNANNOUNCED WEAPON ONE (medium only weapon)
UNANNOUNCED WEAPON TWO
This means the light has seven available weapons, the medium has eight available weapons, and the heavy has eight available weapons.
We can therefore just copy and paste the values we already know from the above analyses.
With a 2 - 3 - 4 setup...
Light = 21
Medium = 56
Heavy = 70
With a 3 - 3 - 4 setup...
Light = 35
Medium = 56
Heavy = 70
With a 3 - 4 - 4 setup...
Light = 35
Medium = 70
Heavy = 70
With a 3 - 4 - 5 setup...
Light = 35
Medium = 70
Heavy = 56
Now to work the values with the disc launcher ASHUMED...
In this set of combinations, we now ashume the disc launcher is going to be used in all setups. This means we sort the remaining weapons with one less weapon slot to produce a final value.
In T1, people had to carry a disc launcher. The number of combinations was therefore...
Light = 15
Medium = 10
Heavy = 15
In T2, people had to carry a disc launcher. The number of combinations was therefore...
Light = 21
Medium = 35
Heavy = 70
In T:V, ashuming the people will always take a disc launcher, the following combinations are born...
Ashuming a disc launcher with the 2 - 3 - 4 setup...
Light = 6
Medium = 21
Heavy = 56
Ashuming a disc launcher with the 3 - 3 - 4 setup...
Light = 21
Medium = 21
Heavy = 56
Ashuming a disc launcher with the 3 - 4 - 4 setup...
Light = 21
Medium = 35
Heavy = 56
Ashuming a disc launcher with the 2 - 3 - 4 setup...
Light = 21
Medium = 35
Heavy = 70
Ashuming finally, that the medium and heavy might will carry another "necessary weapon" along with the disc launcher...
Because T1 heavies often carried a mortar and a disc launcher, the number of full combinations is altered to...
Light = 15
Medium = 10
Heavy = 10
Ashuming a disc launcher, this means 5 less combinations for the heavy.
Because T2 heavies often carried a mortar and a disc launcher, the number of full combinations is altered to...
Light = 21
Medium = 35
Heavy = 56
Ashuming a disc launcher, this means 14 less combinations for the heavy.
In T:V, if the medium and the heavy both require their clbutt-specific weapons to be effective, then the followin changes take place...
Ashuming a disc launcher and a clbutt specific weapon for the medium and heavy with 2 - 3 - 4...
Light = 6
Medium = 6
Heavy = 21
Ashuming a disc launcher, this means 35 less combinations for the heavy and 15 less combinations for the medium. This pattern continues. For the sake of brevity, I won't solve any more of these for you.
Ashuming a disc launcher and a clbutt specific weapon for the medium and heavy with 3 - 3 - 4...
Light = 21
Medium = 6
Heavy = 21
Note that if the medium doesn't find the armor-specific weapon a "must have", then we find the following symmetry...
Light = 21
Medium = 21
Heavy = 21
This is why I advocate 3 - 3 -4. More in analysis.
Ashuming a disc launcher and a clbutt specific weapon for the medium and heavy with 3 - 4 - 4...
Light = 21
Medium = 21
Heavy = 21
A symmetry finally emerges?
Ashuming a disc launcher and a clbutt specific weapon for the medium and heavy with 3 - 4 - 5...
Light = 21
Medium = 21
Heavy = 35
Remember, this is if the medium and heavy both require the disc launcher and their armor-specific weapons to be useful.
Analysis:
In this part, I simply say what I think.
Look at the numbers. If we ashume a disc launcher is a given for all three armors, and ashume the heavy's mortar is also a given, then the best model for T:V is 3 - 3 - 4.
If the medium only weapon is as necessary for the medium as the mortar is for the heavy, then the best is 3 - 4 - 4.
It gives the armors equal diversity of role without become
too specified (which in my opinion is
generally specified by more combinations) or
too generic (which in my opinion is
generally specified by less than 20 combinations.)
Ashuming historical data is correct, and certain historical weapons are still the only "must have" weapons, the best setup - just from a pure loadout combination standpoint that excludes fighting balance - is 3 - 3 - 4.
If it turns out the medium only weapon is a "must have" weapon, then we should use 3 - 4 - 4.
I rest my case.