This distributes the input evenly.
Distribution Logic
Shapez 2 belt-branch divides items in the same proportion in each direction. Therefore, by branching into two and then merging, the contents of the belt can be equally distributed.
Byproduct: Splitter
We can create splitters with belt-branch/merge combination. Various belt arrangements are possible.
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I tried a balancer like this but it doesn’t balance evenly.
AAAA BBBB CCCC DDDD
becomes
ADAD ADAD BCBC BCBC
but because the next splitters alternate, all the A’s go one way, and D’s the other
so the next layer gives you
ABAB DCDC ABAB DCDC
and then
ADAD BCBC ADAD BCBC
There might be some switching between the letters depending on timing, but you’ll always get two of the inputs on each output. A proper balancer would have ABCD on each.