Wait, what the hell? My phone could run a 3D printer
six years ago.
All you need is a profoundly simple program that converts a 3D model into instructions for the printer.
Any of those can run on phones without much trouble. The earliest I found that could run on my phone is from 2009. It is made to operate
a home-made 3D printer that you can first print yourself on the same printer.
Now, if only I could run Blender to make the models on a phone... Wait,
that has been been done back in 2010.
Oh, you're talking about 3D scanning, and not 3D printing, so even the title didn't have the courtesy to match the content of the thread. Well, you got me there. That I couldn't do on my phone until 2013.
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ETA: Here's my frustration with the OP. I am quite excited about 3D printing, which is without a doubt paving the way for some kind of revolution in manufacturing. Who knows where it goes... Just deploy some intelligent garbage processing robots, and the long-repeated proverb of "Garbage In, iPhone out" may finally become literally true, solving two of the world's problems at once. Then mix that with various methods of higher-scale automation, and we might soon have self-building bridges, buildings, not to mention the self-building spacecraft and Mars bases – 3D printing may even be part of the reason we got back into space. Just the possibility of it is beyond amazing.
Well, reading this thread is what can kill all the excitement. There's nothing about running it on a phone. That's not an accomplishment. It's... nothing. Cool kids were doing it because they could a long time ago. It was a great and inspiring accomplishment for them, but that's only how they started changing the world, not the actual thing.
(I also predict 3D scanners would be most used for men to text a 3D model of their genitalia - everything else of importance is already in digital form.)