Figure 6
Scheme for an accessorized wallpaper pattern synthesized from the linear group and rotational group for the five bases. A bijection exists between the primitive operations of both groups: ‘r ↔ω = ω1, u ↔ 2ω = ω2, d ↔ 3ω = ω3, l ↔ 4ω = ω4, n ↔ ω0 = ω5 = 0’. Transitions in the four directions of the cruciform are expressible as rotations of the fivefold phasor diagram in the Gaussian plane. In other words, the linear operation and the rotational operation of the five bases are synthesized into a unique scheme (wallpaper pattern).