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It is important to remember that the 3 discussed ( Longacre, machine, and Hub ) doubling effects are not exclusive of each other. A cent with Longacre can also be a true doubled die ( I have one someplace..if I can find it) or there can be machine doubling with a true hub doubling, or machine with Longacre. I have seen these. I have never seen all 3 types on one, but I am sure there are some. Combos will drive you a little nutty and put it on a forum, and you will get a lot of arguments.
I have seen coins on forums that were dismissed quickly because someone recognized machine doubling and assumed all effects were from that, and most were, but it could mean missing a true (hub) doubled die.
Nice article!
Jim
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