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Sunday, October 13, 2019

Human Skull Dimensions Follow Golden Ratio: Study | Other Sciences - Sci-News.com

The Golden ratio principle is present in the architecture and evolution of the human skull, suggests a new study by researchers from the Johns Hopkins University School of Medicine and Nationwide Children’s Hospital by News Staff at Sci-News.

In human skulls, division of the nasioiniac arc (from nasion to inion, NI) by bregma into a shorter frontal arc (from nasion to bregma, NB) and longer parietooccipital arc (from bregma to inion BI), creates a geometrical relationship in which the ratio of the nasioiniac arc over the bregma-inion arc (NI/BI) coincides with the ratio of the bregma-inion arc over the nasion-bregma arc (BI/NB), both 1.6. The subdivision of the nasioiniac arc by bregma into two unequal arcs emulates the geometrical division of a line into the Golden ratio. 
Photo: Tamargo & Pindrik
Represented by the Greek upper-case letter phi (Φ), the Golden ratio belongs to the set of irrational numbers and expands in a decimal form as 1.618033…

The first written description and illustration of how to obtain the Golden ratio geometrically came from Euclid of Alexandria around 300 BCE.
Eighteen centuries after Euclid, in 1509, Franciscan friar and mathematician Fra Luca Bartolomeo de Pacioli dedicated an entire book to the Golden ratio and titled it De Divina Proportione (The Divine Proportion)...

In a new study investigating whether mammalian skull shape follows the Golden ratio, Professor Rafael Tamargo and Dr. Jonathan Pindrik compared 100 human skulls to 70 skulls from six other mammals (lion, tiger, rhesus monkey, domestic dog, blue monkey, and Eastern cottontail rabbit)...

The findings were published in the September 2019 issue of the Journal of Craniofacial Surgery.
Read more... 

Additional resources
DOI: 10.1097/SCS.0000000000005610 

Source: Sci-News.com