A new golden ratio for foramen magnum in pre- and post-adolescent children

Abstract The foramen magnum (FM) is a crucial transition zone between the skull and spine, with its growth mostly completed by the end of the age of four. A study on adults reported that the ratio of the anteroposterior to transverse diameter of the FM and skull aligns with the golden ratio (4.62),...

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Main Authors: Ramazan Dulkadir, Tufan Ulcay, Özkan Görgülü, Emre Uğuz, Muhammed Fırat Aladağ, Burcu Kamaşak Arpaçay, Ruken Öncü, Erdal Ünlü, Şaban Tiryaki, Harun Ülger
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Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-10505-0
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author Ramazan Dulkadir
Tufan Ulcay
Özkan Görgülü
Emre Uğuz
Muhammed Fırat Aladağ
Burcu Kamaşak Arpaçay
Ruken Öncü
Erdal Ünlü
Şaban Tiryaki
Harun Ülger
author_facet Ramazan Dulkadir
Tufan Ulcay
Özkan Görgülü
Emre Uğuz
Muhammed Fırat Aladağ
Burcu Kamaşak Arpaçay
Ruken Öncü
Erdal Ünlü
Şaban Tiryaki
Harun Ülger
author_sort Ramazan Dulkadir
collection DOAJ
description Abstract The foramen magnum (FM) is a crucial transition zone between the skull and spine, with its growth mostly completed by the end of the age of four. A study on adults reported that the ratio of the anteroposterior to transverse diameter of the FM and skull aligns with the golden ratio (4.62), suggesting a harmonious relationship. Our study aims to investigate whether this ratio is present in children by analyzing Computed Tomography (CT) images, and whether FM shape variations affect this ratio. We analyzed CT images of 201 Turkish children (male: 117, female: 84), measuring maximum cranial length (MCL), width (MCW), foramen magnum length (FML), and width (FMW). Group comparisons were made using the Independent t-test and ANOVA. Relationships between continuous variables were examined using Pearson correlation analysis. Ratios of MCW to FMW and MCL to FML were consistent in children aged 6–17. The ratio of 4.90 obtained from these parameters observed between the skull and FM reveals the presence of a unique anatomical balance in the skull. FM shapes were classified morphologically, with their frequency and incidence recorded. For categorical variables, associations were analyzed using the Chi-Square test. A total of 12 distinct FM shapes were identified, with the two semicircle shape being the most prevalent, appearing in 32.8% of cases. In contrast, the pentagonal and triangular shapes were the rarest, each representing only 0.5% of the cases. Recalculating these ratios across different FM shapes may provide a clearer understanding of the validity of the golden ratio.
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spelling doaj-art-d5eff7983e1643a9b7e8a0418eb096bb2025-08-20T03:42:45ZengNature PortfolioScientific Reports2045-23222025-07-011511610.1038/s41598-025-10505-0A new golden ratio for foramen magnum in pre- and post-adolescent childrenRamazan Dulkadir0Tufan Ulcay1Özkan Görgülü2Emre Uğuz3Muhammed Fırat Aladağ4Burcu Kamaşak Arpaçay5Ruken Öncü6Erdal Ünlü7Şaban Tiryaki8Harun Ülger9Faculty of Medicine, Department of Pediatrics, Kirsehir Ahi Evran UniversityFaculty of Medicine, Department of Anatomy, Kirsehir Ahi Evran UniversityFaculty of Medicine, Department of Biostatistics and Medical Information, Kirsehir Ahi Evran UniversityFaculty of Medicine, Department of Anatomy, Kirsehir Ahi Evran UniversityFaculty of Medicine, Department of Anatomy, Kirsehir Ahi Evran UniversityFaculty of Medicine, Department of Anatomy, Kirsehir Ahi Evran UniversityFaculty of Medicine, Department of Anatomy, Kirsehir Ahi Evran UniversityFaculty of Medicine, Department of Pediatrics, Kirsehir Ahi Evran UniversityFaculty of Medicine, Department of Radiology, Kirsehir Ahi Evran UniversityFaculty of Medicine, Department of Anatomy, Erciyes UniversityAbstract The foramen magnum (FM) is a crucial transition zone between the skull and spine, with its growth mostly completed by the end of the age of four. A study on adults reported that the ratio of the anteroposterior to transverse diameter of the FM and skull aligns with the golden ratio (4.62), suggesting a harmonious relationship. Our study aims to investigate whether this ratio is present in children by analyzing Computed Tomography (CT) images, and whether FM shape variations affect this ratio. We analyzed CT images of 201 Turkish children (male: 117, female: 84), measuring maximum cranial length (MCL), width (MCW), foramen magnum length (FML), and width (FMW). Group comparisons were made using the Independent t-test and ANOVA. Relationships between continuous variables were examined using Pearson correlation analysis. Ratios of MCW to FMW and MCL to FML were consistent in children aged 6–17. The ratio of 4.90 obtained from these parameters observed between the skull and FM reveals the presence of a unique anatomical balance in the skull. FM shapes were classified morphologically, with their frequency and incidence recorded. For categorical variables, associations were analyzed using the Chi-Square test. A total of 12 distinct FM shapes were identified, with the two semicircle shape being the most prevalent, appearing in 32.8% of cases. In contrast, the pentagonal and triangular shapes were the rarest, each representing only 0.5% of the cases. Recalculating these ratios across different FM shapes may provide a clearer understanding of the validity of the golden ratio.https://doi.org/10.1038/s41598-025-10505-0Foramen magnumGolden ratioMorphometryMorphology
spellingShingle Ramazan Dulkadir
Tufan Ulcay
Özkan Görgülü
Emre Uğuz
Muhammed Fırat Aladağ
Burcu Kamaşak Arpaçay
Ruken Öncü
Erdal Ünlü
Şaban Tiryaki
Harun Ülger
A new golden ratio for foramen magnum in pre- and post-adolescent children
Scientific Reports
Foramen magnum
Golden ratio
Morphometry
Morphology
title A new golden ratio for foramen magnum in pre- and post-adolescent children
title_full A new golden ratio for foramen magnum in pre- and post-adolescent children
title_fullStr A new golden ratio for foramen magnum in pre- and post-adolescent children
title_full_unstemmed A new golden ratio for foramen magnum in pre- and post-adolescent children
title_short A new golden ratio for foramen magnum in pre- and post-adolescent children
title_sort new golden ratio for foramen magnum in pre and post adolescent children
topic Foramen magnum
Golden ratio
Morphometry
Morphology
url https://doi.org/10.1038/s41598-025-10505-0
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