Literature DB >> 22131915

Fibonacci, littler, and the hand: a brief review.

Alan L Hutchison, Richard L Hutchison.   

Abstract

In a landmark paper published in 1973, the eminent hand surgeon J. William Littler, MD, proposed two mathematical relationships between the anatomic and functional geometry of the hand. His proposal that the motion of the tips of the fingers follow an equiangular spiral has been experimentally supported. Studies have not supported his other idea that the lengths of the phalanges follow a Fibonacci series. This review, after providing the necessary mathematical background, reexamines Littler's claims, presents the associated studies, and re-evaluates their conclusions. Our analysis shows that the functional lengths of the phalanges of the little finger actually do follow a Fibonacci series and that the functional lengths of the index, long, and ring fingers follow a mathematical relative of the Fibonacci series.

Entities:  

Keywords:  Fibonacci; Golden ratio; Hand; Littler; Mathematics; Phalanges

Year:  2010        PMID: 22131915      PMCID: PMC2988127          DOI: 10.1007/s11552-010-9268-6

Source DB:  PubMed          Journal:  Hand (N Y)        ISSN: 1558-9447


  16 in total

1.  The Fibonacci sequence: relationship to the human hand.

Authors:  John M Markley
Journal:  J Hand Surg Am       Date:  2003-07       Impact factor: 2.230

2.  Determining finger segmental centers of rotation in flexion-extension based on surface marker measurement.

Authors:  Xudong Zhang; Sang-Wook Lee; Peter Braido
Journal:  J Biomech       Date:  2003-08       Impact factor: 2.712

3.  Morphological measurements of the proximal interphalangeal joint.

Authors:  T Lawrence; I A Trail; J Noble
Journal:  J Hand Surg Br       Date:  2004-06

4.  History and current concepts in the analysis of facial attractiveness.

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5.  An objective system for measuring facial attractiveness.

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Journal:  Plast Reconstr Surg       Date:  2006-09       Impact factor: 4.730

6.  Morphology of the interphalangeal joint surface and its functional relevance.

Authors:  Clemens Dumont; Gerlind Albus; Dietmar Kubein-Meesenburg; Jochen Fanghänel; Klaus Michael Stürmer; Hans Nägerl
Journal:  J Hand Surg Am       Date:  2008-01       Impact factor: 2.230

Review 7.  Evolution of the human hand: approaches to acquiring, analysing and interpreting the anatomical evidence.

Authors:  M W Marzke; R F Marzke
Journal:  J Anat       Date:  2000-07       Impact factor: 2.610

8.  Radiographic assessment of the relative lengths of the bones of the fingers of the human hand.

Authors:  R Hamilton; R A Dunsmuir
Journal:  J Hand Surg Br       Date:  2002-12

9.  On the adaptability of man's hand (with reference to the equiangular curve).

Authors:  J W Littler
Journal:  Hand       Date:  1973-10

10.  Clinical anthropometry and canons of the face in historical perspective.

Authors:  F Vegter; J J Hage
Journal:  Plast Reconstr Surg       Date:  2000-10       Impact factor: 4.730

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  4 in total

1.  Adaptation or exaptation? The case of the human hand.

Authors:  Marta Linde-Medina
Journal:  J Biosci       Date:  2011-09       Impact factor: 1.826

2.  Fundamental ratios and logarithmic periodicity in human limb bones.

Authors:  Alexis Pietak; Siyan Ma; Caroline W Beck; Mark D Stringer
Journal:  J Anat       Date:  2013-03-22       Impact factor: 2.610

3.  Clinical Application of Mathematical Long Bone Ratios to Calculate Appropriate Donor Limb Lengths in Bilateral Upper Limb Transplantation.

Authors:  Justyn Lutfy; Alexis Pietak; Shaun D Mendenhall; Michael W Neumeister
Journal:  Hand (N Y)       Date:  2018-01-24

4.  Hand grip strength as a physical biomarker of aging from the perspective of a Fibonacci mathematical modeling.

Authors:  Elena Ioana Iconaru; Manuela Mihaela Ciucurel; Luminita Georgescu; Constantin Ciucurel
Journal:  BMC Geriatr       Date:  2018-11-29       Impact factor: 3.921

  4 in total

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