The Fibonacci Sequence: Fascinating Features and Applications in Secodary and Post Secondary Science and Steam Education

Authors

  • Halliru I. Department of Science Education, Physics Education, Kaduna State University Author
  • Dayyabu T. Department of Science Education, Physics Education, Kaduna State University Author
  • Umar A. A. Department of Science Education, Mathematics Education, Kaduna State University Author

Keywords:

Fibonacci numbers, Fibonacci chain, Golden ratio, Quasi-crystals, Photonics

Abstract

This paper presents amazing properties of Fibonacci numbers among which is the famous golden ratio. Applications and features of the golden ratio in nature such as Fibonacci spiral in human face, in the ratio of human arm to palm, or within the joints of the palm and other joints within the body. In Arts it emerges in music and in Science and Technology in studying properties of famous quasi-crystal structure and its application in science and engineering; all were been addressed and discussed. Fibonacci chain – the origin of the Fibonacci numbers- was analysed exploring its application in material science, by studying different properties of quasi-crystals – a newly identified non-periodic crystal material. Its application in photonics and other technological areas were presented and discussed.

KEY WORDS: Fibonacci numbers, Fibonacci chain, Golden ratio, Quasi-crystals, Photonics

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Published

2026-03-29

Issue

Vol. 1 No. 1 (2025): June, 2025

Section

Articles