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Talk:Quaternion type: Difference between revisions
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::Hi Michael, The wp article does mention [[wp:Octonian|Octonians]], and I also read [[wp:Division algebra]] enough to know that from reals to complex to quaternions to octonians; things seem to get a little less useful. The octonians seeming to have 480 ways to multiply for example. --[[User:Paddy3118|Paddy3118]] 16:28, 3 August 2010 (UTC)
::: I was thinking more along the lines of the kind of code generalization that would allow the same code to operate correctly on any >=0 integer value for M and N. Granted, we're delving outside a simple task. My curiosity there lies being able to learn the relationship by studying the code. --[[User:Short Circuit|Michael Mol]] 18:05, 3 August 2010 (UTC)
re: Out of curiosity, can it be generalized to N real and M imaginary dimensions?
There is an interesting generalisation called [[wp:Category:Clifford_algebras|Clifford algebras]] which contains a useful subset for [[wp:Algebra_of_physical_space|Algebra of physical space]] and [[wp:Spacetime algebra|Spacetime algebra]] etc. eg:
# [[wp:Algebra_of_physical_space#Special Relativity|Special Relativity]]
# [[wp:Algebra_of_physical_space#Classical Electrodynamics|Classical Electrodynamics]]
# [[wp:Algebra_of_physical_space#Relativistic Quantum Mechanics|Relativistic Quantum Mechanics]]
# [[wp:Algebra_of_physical_space#Classical Spinor|Classical Spinor]]
[[User:NevilleDNZ|NevilleDNZ]] 19:24, 3 August 2010 (UTC)
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