Figure 5
A phasor diagram using the five bases over the Gaussian plane. The five nucleic acid bases label the points equispaced on the unit circle to form the fivefold phasor diagram over the Gaussian plane. With ‘ω’ defining the counterclockwise rotation by ‘2π/5 (rad)’ around the origin in the Gaussian plane, composition of angles under modulo 5 addition generates a representation of the cyclic group. The complex units X = {Exp(m · ω · i)}, (i: imaginary unit, m: integer) following as a bijection angles to the plane; The bases are assigned to each phase: ‘Exp(0 · ω · i) = Exp(5 · ω · i) = 1 ↔ E’, ‘Exp(1 · ω · i) ↔ C’, ‘Exp(2 · ω · i) ↔ A’, ‘Exp(3 · ω · i) ↔ T’, ‘Exp(4 · ω · i) ↔ G’.