Hello all! I ran some math on when it's better to build a T2 over a T3 starport based on total slots consumed.
Due to large surface settlements rewarding 2 T3 points, early on T3 stations blow away T2s in terms of population, tech level, etc. In theory this should invert at some point due to T3s scaling WAY faster than T2s...
and it does!
at SEVEN T3 starports.
The math i did to get a general idea was to sum up Tech level, Wealth, SOL, and Dev Level. I then divided it by the number of infastructure slots you need (Slots going towards build points/installations).
This ends up as
t2/(1+3+2n)
t3/(1+6+6n)
Where n is your starport count minus 2, minimum of zero. T3s need only six slots - three T2 points and 3 surface large settlements to turn those 3 points into 6 T3 points. The extra +1 is the additional slot for actually placing your starport.
At base, you get an average of 2.75 system points per slot used on a T2, and 4.14285... per slot used on a T3.
On your third port, where point costs start to go up, you get 1.83333... and 2.2307... per slot used
Fourth you get 1.375... and 1.52631...
"Great" systems can generally only support three or four T3 ports in general, the efficiency only flips all the way at 7 ports present.
Though, if your system only has a few surface slots, the math jumps wildly in T2's favor. Using only orbital slots requires 12 infastructure slots per T3, giving them 2.23076... points per slot used when they only cost six. Once they cost 12 or more, T2s are slightly more efficient by about 0.67 points/slot!
For a normal system with similar surface and orbital slots, the efficiency bonus ends up becoming negligible for the fourth slot IMO compared to 4xing the tonnage you need to ship though, so I'll personally be making three T3s per system before just building whatever feels cool lol.
Here's a link to a desmos page with the equations set up for you to play with! t2 and t3 are defined at the bottom in order of tech level, wealth, SOL, development level. You can change those definitions to see how individual stats scale: https://www.desmos.com/calculator/ia5y9gnvwy
And remember that your starter port doesnt count towards scaling. If your a solo an outpost or coriolis is best, if your a group go for that orbis!
Due to large surface settlements rewarding 2 T3 points, early on T3 stations blow away T2s in terms of population, tech level, etc. In theory this should invert at some point due to T3s scaling WAY faster than T2s...
and it does!
at SEVEN T3 starports.
The math i did to get a general idea was to sum up Tech level, Wealth, SOL, and Dev Level. I then divided it by the number of infastructure slots you need (Slots going towards build points/installations).
This ends up as
t2/(1+3+2n)
t3/(1+6+6n)
Where n is your starport count minus 2, minimum of zero. T3s need only six slots - three T2 points and 3 surface large settlements to turn those 3 points into 6 T3 points. The extra +1 is the additional slot for actually placing your starport.
At base, you get an average of 2.75 system points per slot used on a T2, and 4.14285... per slot used on a T3.
On your third port, where point costs start to go up, you get 1.83333... and 2.2307... per slot used
Fourth you get 1.375... and 1.52631...
"Great" systems can generally only support three or four T3 ports in general, the efficiency only flips all the way at 7 ports present.
Though, if your system only has a few surface slots, the math jumps wildly in T2's favor. Using only orbital slots requires 12 infastructure slots per T3, giving them 2.23076... points per slot used when they only cost six. Once they cost 12 or more, T2s are slightly more efficient by about 0.67 points/slot!
For a normal system with similar surface and orbital slots, the efficiency bonus ends up becoming negligible for the fourth slot IMO compared to 4xing the tonnage you need to ship though, so I'll personally be making three T3s per system before just building whatever feels cool lol.
Here's a link to a desmos page with the equations set up for you to play with! t2 and t3 are defined at the bottom in order of tech level, wealth, SOL, development level. You can change those definitions to see how individual stats scale: https://www.desmos.com/calculator/ia5y9gnvwy
And remember that your starter port doesnt count towards scaling. If your a solo an outpost or coriolis is best, if your a group go for that orbis!
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