Informational Measure of Symmetry vs. Voronoi Entropy and Continuous Measure of Entropy of the Penrose Tiling. Part II of the “Voronoi Entropy vs. Continuous Measure of Symmetry of the Penrose Tiling”

The notion of the informational measure symmetry is introduced according to: Hsym(G)=−∑i=1kP(Gi)lnP(Gi), where P(Gi) probability appearance operation Gi within given 2D pattern. Hsym(G) interpreted as an averaged uncertainty in presence elements from group G “ideal” pattern built identical equilateral triangles established Hsym(D3)= 1.792. random, completely disordered zero, Hsym=0. calculated for patterns generated by P3 Penrose tessellation. does not correlate with either Voronoi entropy studied nor continuous patterns. Quantification “ordering” performed solely misleading and erroneous.