The mathematics of harmony : from Euclid to contemporary mathematics and computer science Three key problems of mathematics on the stage of its origin Classical golden mean Fibonacci numbers and platonic solids The golden section Fibonacci and Lucas numbers Regular polyhedrons Mathematics of harmony Generalizations of Fibonacci numbers and the golden mean Hyperbolic Fibonacci and Lucas functions Fibonacci and golden matrices Application in computer science Algorithmic measurement theory Fibonacci computers Codes of the golden proportion Ternary mirror symmetrical arithmetic A new coding theory based on a matrix approach Diracs principle of mathematical beauty and the mathematics of harmony : clarifying the origins and development of mathematics Appendix : Museum of harmony and the golden section