Date: 2014-08-19 04:06 am (UTC)
X-ray tomography. Apparently it allowed them to read some of the script engraved on parts of the mechanisms. Back in 2006. http://archaeology.about.com/od/bronzeage/ss/antikythera.htm seems to have a history of the process.

Of course the Lego ones aren't exactly the same because Lego cogs don't come with the precise number of teeth that the Antikythera device had, so he had to use some gear drivers.

There's a video (https://www.youtube.com/watch?v=RLPVCJjTNgk) of the Apple dude's version on youtube.
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