There is an infinite number of them. https://en.wikipedia.org/wiki/Cayley–Dickson_construction https://en.wikipedia.org/wiki/Cayley–Dickson_construction They'

There is an infinite number of them. https://en.wikipedia.org/wiki/Cayley–Dickson_construction https://en.wikipedia.org/wiki/Cayley–Dickson_construction They're nuts, though.