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Factorio beacons: diminishing returns in 2.0

Each beacon passes on 1.5 times its modules' effect, divided by the square root of the number of beacons reaching the machine. Eight beacons give 2.83 times what a single beacon would on its own, not 8 times, so a few well-placed beacons do most of the work.

The formula

With n identical normal beacons around a machine, each beacon transmits 1.5 ÷ √n of its modules. Added together that is 1.5 × √n times the effect of the modules in one beacon.

Beacons reaching the machineTotal, × one beacon's modules
11.50
22.12
43.00
84.24
125.20
166.00
206.71

Example: a beacon with two speed module 3 (+50% speed each) holds +100% speed. One such beacon adds +150%; eight of them add +424%.

Beacon facts

How many beacons a machine can touch

Machine sizeMost beaconsTotal, × one beacon
2 × 2 to 4 × 4 (assemblers, chemical plants)125.20
5 × 5 to 7 × 7 (foundries, oil refineries)166.00
8 × 8 to 10 × 10206.71

Most real layouts use rows: a row of 3 × 3 machines between two lines of beacons usually gets 8 beacons each, a row of 5 × 5 machines 10. Going beyond that costs a lot of space and power for a small gain.

Beaconed builds: module factories and all blueprints.