Abstract: In this study, we present the mathematical design in Pineapple spirals and digital signals using field theory. The golden Angle and Fibonacci sequence explain the packing in natural spirals. Finite fields and recurrence relations are applied to describe these arrangements mathematically.

Keywords: Finite fields (Galois fields), Fibonacci sequence, Golden angle, Phyllotaxis, Pineapple spirals, Recurrence relations, Digital signals, Signal processing, Pseudo-random sequences, Cryptography, Packing efficiency, Phase mapping AMS Mathematics Classification: 92C80, 94A55, 11A07, 11T30, 11B39.

Downloads: | DOI: 10.17148/IARJSET.2026.13456