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But then you are assuming the current way is optimal. Why can’t we have a 3d-printer-style contraption for chips?

If people have millions of new chip designs that need making, perhaps that will be motivation to invent a new way of making chips. It might not be better at manufacturing a billion of the same chip, but maybe it’s better at producing a billion different chips. Then every HFT could have their own chip and people could try out all kinds of new designs without committing a fortune.

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Can 3D printers print with 1 micrometer (not millimeter) accuracy? 1 micron gets you things like the original 8086. Oh wait, current best desktop printers get like 100 micron (0.1 mm) accuracy. So scale up what we have now 100x in terms of accuracy (imagine how much bigger / more precise the motors, magnets, everything has to be). EASILY 10-50x the cost of a good home 3D printer today - say $50K. And 8086? Your phone is faster than probably 50-100 of them in parallel today) - so $100K (materials aren't cheap) to print a series of chips that were insanely obsolete 20 years ago and 1 $500 fpga could run circles around. Then scale that up at least another 50x to get semi-competitive (20 nm). There's a reason they put fabs in places like Arizona where there are relatively few earthquakes... Even the garbage truck driving past your house could damage your chip.

As far as home printing stuff: the clean room requirements are INSANE: just the HF (hydrofluoric acid) is crazy bad stuff that you could NOT get certified for general consumer use, no way, no how. And even if you did, you'd be crazy to buy something that comes with HF as part of the process.. And that's just ONE bad, bad chemical used by TSMC all the time.

FPGAs are the "faster-than-software / can make a custom chip" compromise - companies like Intel used to (not sure if they still do) use a ton of FGPAs to simulate new chip designs. Precisely because manufacturing state-of-the-art chips is so hard.

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Think how long it takes for a 3D printer to finish a single design with 0.1mm resolution. Now scale that down to 10nm. The time to complete goes up by 10^12. A 1 minute design would scale to 2M years.

There's a reason e-beam lithography is only used to make masks, and why it's one of the most expensive parts of the manufacture.

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E-beam lithography absolutely is/can be used to manufacture one-off chips.

The problem isn't lithography, though, it's all of the adjacent processes (ion implantation and a dozen other things) that are fab/process-specific and require even more complicated/expensive equipment.

Shuttle runs give you a true-to-process tapeout and are dirt cheap, so only universities and the like bother with direct-write.

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