Is the golden ratio present in the coxal bone? An anatomical pilot study

Abstract

The coxal bone is crucial for movement, stability, and childbirth. Although most morphometric studies estimate gender and age, ratio, correlation and index calculations, there are no studies on the golden ratios in the coxal bone. Inspired by this idea, we investigated the presence of the golden ratio in the coxal bones. In this study, 95 adult dry coxal bones were measured using a digital caliper. Morphometric measurements were conducted based on 18 identified parameters. 12 of these parameters were related to the distances between two points in various parts of the bone. New ratios were determined with those measurements. In our study, we detected a constant coefficient between the following lengths: anterior superior iliac spine (ASIS)- posterior superior iliac spine (PSIS) and anterior inferior iliac spine (AIIS)- posterior inferior iliac spine (PIIS), vertical and transverse diameters of the acetabulum (AC), ASIS-AC and AIIS-AC, PSIS-AC and PIIS-AC, ASIS-auricular surface and AIIS-auricular surface, ASIS-symphyseal surface and AIIS-symphyseal surface (respectively, 1.29, 1.05, 1.18, 2.32, 1.26, 1.32). In order to check the accuracy of this hypothesis, length of between AIIS-PIIS, transverse diameter of the acetabulum, length of between PIIS-AC, length of between AIIS-AC, shortest distance between AIIS-auricular surface, length of between AIIS-symphyseal surface were estimated with the help of new equations. We detected constant ratios between some lengths in the coxal bone. Estimated distances should be taken into account during surgical procedures to prevent complications. In this context, the constant ratios identified in our study will serve as a guide for surgeons.