What is a hypercomplex number and beyond

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Now I understand how natural numbers work and the basics of complex numbers like i and i\^4 and stuff. But what is a hypercomplex number? I’ve tried searching google but I always had no idea what it was talking about. There are even things like quaternions and octonions, like what is that?

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Also, irrelevant side question about this subreddit. Do you need certain things to post here like account needs to be a certain age or something?

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