octonion multiplication table

http://christopheremoore.net/octonion-multiplication-table/

each of the following imaginary basis elements are alternating vertices on a triangulized Mobius strip: {e1, e2, e5, e3, e7, e6, -e4}

the multiplicaiton table is as follows, derived using Cayley-Dickson construction 
e1 * e2 = e3
e2 * e5 = e7
e5 * e3 = e6
e3 * e7 = -e4
e7 * e6 = e1
e6 * -e4 = e2
-e4 * e1 = e5

rotations along the faces triangles on either side of the mesh coincide with multiplicative identites