APPLICATION OF FIBONACCI SERIES, GOLDEN PROPORTIONS AND GOLDEN RECTANGLE TO HUMAN HAND USING STATISTICAL ANALYSIS

Abstract

The Greek letter φ (Phi) represents one of the most mysterious numbers (1.618…) known to humankind. Historical approbation for φhas led to the monikers “The Golden Number” or “The Divine Proportion”. This simple, but inscrutable number, is inseparably linked to the recursive mathematical sequence which produces Fibonacci numbers. The study of the Fibonacci sequence exists in most aspects of life starting from the leaves of a non-flowering plant, design, paintings, animals, and even human body. Despite its wide-spread prevalence and existence, the Fibonacci series and also the Rule of Golden Proportions have not been widely documented within the human body. The main objective of this study is to prove that the length of the human hand bone is in step with the Fibonacci series to spot the degree of movement and variation for every finger. Victimization of the sample z test with 95% confidence interval, this analysis shows that just one of the four bone length ratios contained the ratio phi φ within the 95% confi dence interval and follow the Fibonacci series, that of the little fi nger metacarpal and proximal phalanx in both hands. The largest variability was seen within the little fi nger phalangeal relationships and other fingers will follow mathematical relative series. Due to the relationship with the golden number, it will facilitate in monitoring the individual with an injured hand, especially if injured in small fingers throughout a medical aid, or to identify the cause of the problem of physical functioning of the hands or individual fingers. Hence, it should be helpful for the length of the clenched fist to perform in reconstruction or placement of the prosthesis.