The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering

@article{Stakhov2005TheGP,
title={The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering},
author={A. Stakhov},
journal={Chaos Solitons & Fractals},
year={2005},
volume={26},
pages={263-289}
}

The “Dichotomy Principle” and the classical “Golden Section Principle” are two of the most important principles of Nature, Science and also Art. The Generalized Principle of the Golden Section that follows from studying the diagonal sums of the Pascal triangle is a sweeping generalization of these important principles. This underlies the foundation of “Harmony Mathematics”, a new proposed mathematical direction. Harmony Mathematics includes a number of new mathematical theories: an algorithmic… Expand