Exploring Fibonacci Sequences and the Golden Ratio in Natural and Cultural Phenomena in Nigeria

This study investigates occurrences of the Fibonacci sequence and the golden ratio in natural and cultural phenomena observable in Nigeria, contributing to the mathematical literature on naturally occurring patterns and to the broader project of contextualising abstract mathematics within locally meaningful environments. The Fibonacci sequence and its limit, the golden ratio, have been documented extensively in botanical structures, animal morphology, and artistic traditions across diverse cultures, yet few studies have systematically examined these phenomena in the West African context. The study employs an observational and measurement-based methodology, examining specimens from botanical gardens in Ibadan, Oyo State, shell collections from coastal communities in Cross River State, and artistic artefacts from the Benin Kingdom in Edo State. Measurements of spiral phyllotaxis in plant specimens, shell whorl ratios, and proportional relationships in Benin bronze artwork are recorded and analysed against theoretical Fibonacci and golden ratio benchmarks. Statistical tests of goodness of fit are applied to assess the degree to which observed measurements conform to predicted values. Results confirm the presence of Fibonacci-consistent patterns in all three domains of inquiry, with particularly strong conformity observed in the botanical specimens. The study argues that natural mathematical patterns provide an engaging pedagogical bridge between abstract mathematics and students' lived environments, and recommends their incorporation into secondary school mathematics instruction. Keywords: Fibonacci sequence, golden ratio, ethnomathematics, botanical patterns, Nigerian cultural artefacts