Introduction: Dynamics-on-graph concepts and generalized finite-length Fibonacci sequences have been used to characterize, from a temporal point of view, both human walking & running at a comfortable speed and front-crawl & butterfly swimming strokes at a middle/long distance pace. Such sequences, in which the golden ratio plays a crucial role to describe self-similar patterns, have been found to be subtly experimentally exhibited by healthy (but not pathological) walking subjects and elite swimmers, in terms of durations of gait/stroke-subphases with a clear physical meaning. Corresponding quantitative indices have been able to unveil the resulting hidden time-harmonic and self-similar structures. Results: In this study, we meaningfully extend such latest findings to the remaining two swimming strokes, namely, the breast-stroke and the back-stroke: breast-stroke, just like butterfly swimming, is highly technical and involves the complex coordination of the arm and leg actions, while back-stroke is definitely similar to front-crawl swimming. An experimental validation with reference to international-level swimmers is included.

Verrelli, C.m., Romagnoli, C., Colistra, N., Ferretti, I., Annino, G., Bonaiuto, V., et al. (2023). Golden ratio and self-similarity in swimming: breast-stroke and the back-stroke. FRONTIERS IN HUMAN NEUROSCIENCE, 17 [10.3389/fnhum.2023.1176866].

Golden ratio and self-similarity in swimming: breast-stroke and the back-stroke

Verrelli C. M.;Annino G.;Bonaiuto V.;
2023-01-01

Abstract

Introduction: Dynamics-on-graph concepts and generalized finite-length Fibonacci sequences have been used to characterize, from a temporal point of view, both human walking & running at a comfortable speed and front-crawl & butterfly swimming strokes at a middle/long distance pace. Such sequences, in which the golden ratio plays a crucial role to describe self-similar patterns, have been found to be subtly experimentally exhibited by healthy (but not pathological) walking subjects and elite swimmers, in terms of durations of gait/stroke-subphases with a clear physical meaning. Corresponding quantitative indices have been able to unveil the resulting hidden time-harmonic and self-similar structures. Results: In this study, we meaningfully extend such latest findings to the remaining two swimming strokes, namely, the breast-stroke and the back-stroke: breast-stroke, just like butterfly swimming, is highly technical and involves the complex coordination of the arm and leg actions, while back-stroke is definitely similar to front-crawl swimming. An experimental validation with reference to international-level swimmers is included.
2023
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ING-INF/04
Settore ING-IND/31
Settore M-EDF/01
Settore M-EDF/02
English
Fibonacci sequence
golden ratio
neuroscience
self-similarity
swimming
Verrelli, C.m., Romagnoli, C., Colistra, N., Ferretti, I., Annino, G., Bonaiuto, V., et al. (2023). Golden ratio and self-similarity in swimming: breast-stroke and the back-stroke. FRONTIERS IN HUMAN NEUROSCIENCE, 17 [10.3389/fnhum.2023.1176866].
Verrelli, Cm; Romagnoli, C; Colistra, N; Ferretti, I; Annino, G; Bonaiuto, V; Manzi, V
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/336683
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