5. 95% subgraphs at percolation point are linear chains
Density of linear subgraphs (chains) at percolation point:
Total cluster density:
95% subgraphs at percolation point are linear chains

6. Spectral density of ensembles of linear chains

7. -2 cos (3p/4)
-2 cos (2p/3)
2 cos (p/2)
2 cos (2p/3)
2 cos (3p/4)

8. Degeneracy of series of peaks

9. Degeneracy of a principle series of peaks
Visibility diagram

14. Conjecture about asymptotic behavior of the Dedekind function and spectrum tail for q  1
Direct numeric
simulations
Limiting eigenvalue
density
Log of Dedekind h

15. Zagier-Kontsevich
“strange” function
Dedekind h -function

16. Phyllotaxis

17. Static and Dynamical Phyllotaxis in Magnetic Cactus
C. Nisoli et al: ArXiv: cond-mat/
Thomae (Dirichlet) function