Hu Hong
Abstract
Plant phyllotaxis is closely related to Fibonacci numbers and Lucas numbers.Based on the recursive relations between Fibonacci numbers and Lucas numbers,some reversible relations between Fibonacci numbers and Lucas numbers were studied by using generating function.The inherent phenomenon of plant phyllotaxis was revealed.
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Plant phyllotaxis is closely related to Fibonacci numbers and Lucas numbers.Based on the recursive relations between Fibonacci numbers and Lucas numbers,some reversible relations between Fibonacci numbers and Lucas numbers were studied by using generating function.The inherent phenomenon of plant phyllotaxis was revealed.
Key concepts: Phyllotaxis, Fibonacci number, Lucas number, Fibonacci polynomials, Lucas sequence, Pisano period, Mathematics, Recurrence relation