Answer by mick for Unconventional hypercomplex numbers
Im not sure if this counts, but I got interested in 3D numbers. See here :Properties of a 3D Julia set from squaring a 3D number?In general they have no sqrt root of -1 without issues though.
View ArticleAnswer by Anixx for Unconventional hypercomplex numbers
Intuition. Basically, if you add two complex dimensions to reals, say $i$ and $j$, you automatically get a fourth dimension $ij$ because this number cannot be expressed using only the three dimensions....
View ArticleAnswer by Mark S. for Unconventional hypercomplex numbers
OverviewGiven the examples of number systems mentioned in the OP, and the use of the word "basis", I'm only going to discuss number systems that are vector spaces with scalar multiplication by real...
View ArticleAnswer by Angel for Unconventional hypercomplex numbers
What most of the algebras that you mentioned have in common is that they are all examples of unital algebras. A unital algebra is an algebra with a multiplicative identity element, and that...
View ArticleUnconventional hypercomplex numbers
I was learning a lot about hypercomplex numbers lately. I've seen articles about complex numbers, double numbers, dual numbers, binarions, quaternions, octonions etc.But one thing in common about all...
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