Proceeding with the development of Figure 2a via rotations of the triangle through successive increments of 2π/7, and (arbitrarily) assigning further imaginary units to the new vertices generated gives Figure 3 (with different colors for different triads). Following each triangle around shows that the diagram represents the octonion representation with triads:

Triads: (e_{1},e_{2},e_{3}) (e_{1},e_{4},e_{5}) (e_{1},e_{6},e_{7}) (e_{2},e_{4},e_{6}) (e_{2},e_{7},e_{5}) (e_{3},e_{4},e_{7}) (e_{3},e_{5},e_{6}) with distinguished triad (e_{1},e_{2},e_{3}) 
