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Golden ratio. Mathematics, Irrational number, Mathematical constant, Phidias, Algebraic number, Golden rectangle, Plato, Euclid, Fibonacci, Luca Pacioli, Johannes Kepler, Charles Bonnet, Roger Penrose, Leonardo da Vinci, Parthenon, Canons of page construction, History of aesthetics (pre-20th-century), Continued fraction, Golden triangle (mathematics), Algebraic number field, Pisot Vijayaraghavan number, Hyperbolic geometry, Equilateral triangle