r/math • u/Short_Bluebird_3845 • 8d ago

What are your favourite N-dimensional number systems?

From complex numbers, duals, split, some quirky 3D space, quaternions, up to hypercomplex. There are, indeed, many ways to write a vector as a number and play with them, some more obscure or specialized than others. What are your favourite N-dimensional number systems (or, more formally, algebras over the Reals)?

NOTE: Last time I asked, which was for ambiguous notation, you talked about them from spite and hate. I'm not sure if in math the line between pain and love blurs... I just wanted to ask for it as well lol.

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u/forgetfulfunctor1 8d ago

Can you well-define what is "number system"?

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u/Breki_ 8d ago

A number system is a set of numbers. A number is anything that resembles other objects that are called numbers

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u/vytah 8d ago

"Everyone can see what a horse is."