Assembly layer

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The layers in a nanofactory are the assembly levels mapped to the assembly layers interspersed by routing layers.

natural choice

Scaling laws say that when halfing the size of a any generalized assembly unit one can put four such units below those are twice as fast and produce each an eight of the amout of product the upper unit produces. If you do the math you see that a layer with units of halve size below a top layer has exactly the same throughput as this top layer. This works with any subdivision.

Increasing the size of a step between layers slows down the throughput due to a shrinking manipulator per surface area number. In the extreme case one has one scanning probe microscope for a whole [[1]] op particles where it would take times way beyond the age of the universe to assemble anything human hand sized. This by the way is the reason why massive parallelity is a necessity and exponential assembly or self replication is necessary.

Increased stepsices bring the benefit of less design restrictions in the products. The lowdown incurred by them can in bounds be compensated with parallelity in parts assembly. To avoid a bottleneck all stepsizes in the stack should be similar.

All layers in an arbitrarily deep stack (with equivalent step sizes) have equal throughput.