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So if arranged in a fashion such as *-S-A-B (horizontal or vertical), A would get a slight boost from B, S from A, and * from S. However, if arranged like this:
*--A
B--S
both B and A would get the synergy boost from S, and * would get the boost from both A and B along with S. But again not sure if this works the same way with modules.
Formula
Adjacency Bonus = (Base stat) * (Module Bonus Amount) * (Bonus Multiplier) / 100.
Bonus Multipliers
Two upgrades of the same type treat their bonus as the sum of their base bonuses and use the "BonusSameTypeElementsAdd" or "BonusSameTypeElementsMultiply" bonus multiplier.
Two upgrades of different types use the highest upgrade value between the two and use the "BonusChildTypeElementsAdd" or "BonusChildTypeElementsMultiply" bonus multiplier.
An upgrade that adds a fixed number to a stat uses the "BonusSameTypeElementsAdd" or "BonusChildTypeElementsAdd" bonus multiplier.
An upgrade that adds a percentage to a stat uses the "BonusSameTypeElementsMultiply" or "BonusChildTypeElementsMultiply" bonus multiplier.
BonusSameTypeElementsAdd = 0.06
BonusSameTypeElementsMultiply = 0.04
BonusChildTypeElementsAdd = 0.05
BonusChildTypeElementsMultiply = 0.03
Examples
A ship with an 80 base hyperdrive stat and two +250ly S-class modules that touch each other would get the following adjacency bonus:
80 * 500 * 0.06 / 100 = +24 ly
A ship with an 80 base hyperdrive stat one one +250ly S-class module next to the hyperdrive (+100 bonus) would get the following adjacency bonus:
80 * 250 * 0.05 / 100 = +10 ly
A ship with an Indium Drive (no bonus) next to the hyperdrive (+100 bonus) would get the following adjacency bonus:
80 * 100 * 0.05 / 100 = +4 ly
It's easy. Simply arrange them however you like but pay attention to the statistics on display on the screen as you rearrange them. The stats for example of the hyperdrive warp distance will increase or decrease depending on the placement of certain hyperdrive technology class types.
You get the bonuses for the technology items when the coloured outlines appear surrounding the slots. Some of the bonuses are very minor and don't make a lot of difference, not that I can tell in practice anyway.
Suggestion:
Hello Games ought to experiment limit the rearranging of items to perhaps 5 adjustments after which technology is locked in to position.
But as proposed above, just move things around while checking the stats of your starship, you'll see which positionning gives the best results.
Though for weapon you will hardly see it (it appears on the tooltip of the weapon), just put all S-rank module around the main weapon in the general inventory, then put the tech upgrade in the tech inventory and put 3 other upgrade modules around it in the same fashion (to form a square).
Why? So you want less QoL options in the game?
If I put them isolated its very ineffective.
This suggestion threw me as well. I remember when you got one shot and it was locked down forever. You had to delete and buy a similar upgrade to try it in a different position. You could not move any tech so it was frustrating. Never really like that.
I don't see any harm or gameplay issue with being able to move them around whenever you want.
Multi-tool (my minin/scanning/terrain manipulation one, it has no weapon):
https://steamcommunity.com/sharedfiles/filedetails/?id=2305523562
My main starship (yeah I know she's freaking kewl... and no I dont use the positron ejector, because I can aim at ennemies to destroy them before they even get in range to retaliate)
https://steamcommunity.com/sharedfiles/filedetails/?id=2305523621
https://steamcommunity.com/sharedfiles/filedetails/?id=2305523717
And my weapon multi-tool:
https://steamcommunity.com/sharedfiles/filedetails/?id=2305523776