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Octonions form a 8-dimensional normed division algebra constructed over the reals. They can be seen as a non-associative (alternative) extension of the quaternions. They have been first defined and studied in the 19th century by John Graves and Arthur Cayley. There are several variants (such as split-octonions) and strong relations with Lie Groups and projective geometry.
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Borromean rings on $\Bbb{RP}^2$ and octonions
My question: is it probable that some connection can be made between octonions and the trefoil knot or the borromean rings using this correspondence? …