Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part II. A New Geometric Theory of Phyllotaxis (Bodnar’s Geometry)

References

[1] O. Y. Bodnar, “The Golden Section and Non-Euclidean Geometry in Nature and Art,” In Russian, Svit, Lvov, 1994.

[2] V. G. Shervatov, “Hyperbolic Functions,” In Russian Fizmatgiz, Moscow, 1958.

[3] A. P. Stakhov and B. N. Rozin, “On a New Class of Hyperbolic Function,” Chaos, Solitons & Fractals, Vol. 23, No. 2, 2004, pp. 379-389. doi:10.1016/j.chaos.2004.04. 022

[4] A. P. Stakhov and I. S. Tkachenko, “Hyperbolic Fibonacci Trigonometry,” Reports of the National Academy of Sciences of Ukraine, In Russian, Vol. 208, No. 7, 1993, pp. 9-14.