A harmonically self-similar temporal partition, which turns out to be subtly exhibited by elite swimmers at middle distance pace, is formally defined for one of the most technically advanced swimming strokes—the butterfly. This partition relies on the generalized Fibonacci sequence and the golden ratio. Quantitative indices, named φ-bonacci butterfly stroke numbers, are proposed to assess such an aforementioned hidden time-harmonic and self-similar structure. An experimental validation on seven international-level swimmers and two national-level swimmers was included. The results of this paper accordingly extend the previous findings in the literature regarding human walking and running at a comfortable speed and front crawl swimming strokes at a middle/long distance pace.
Phi-Bonacci Butterfly Stroke Numbers to Assess Self-Similarity in Elite Swimmers / Verrelli, Cristiano Maria; Romagnoli, Cristian; Jackson, Roxanne; Ferretti, Ivo; Annino, Giuseppe; Bonaiuto, Vincenzo. - In: MATHEMATICS. - ISSN 2227-7390. - ELETTRONICO. - 9:13(2021), pp. 1545.1-1545.12. [10.3390/math9131545]
Phi-Bonacci Butterfly Stroke Numbers to Assess Self-Similarity in Elite Swimmers
Romagnoli, CristianSecondo
;
2021
Abstract
A harmonically self-similar temporal partition, which turns out to be subtly exhibited by elite swimmers at middle distance pace, is formally defined for one of the most technically advanced swimming strokes—the butterfly. This partition relies on the generalized Fibonacci sequence and the golden ratio. Quantitative indices, named φ-bonacci butterfly stroke numbers, are proposed to assess such an aforementioned hidden time-harmonic and self-similar structure. An experimental validation on seven international-level swimmers and two national-level swimmers was included. The results of this paper accordingly extend the previous findings in the literature regarding human walking and running at a comfortable speed and front crawl swimming strokes at a middle/long distance pace.File | Dimensione | Formato | |
---|---|---|---|
mathematics-09-01545-v2.pdf
accesso aperto
Tipo:
Versione (PDF) editoriale
Licenza:
Licenza per Accesso Aperto. Creative Commons Attribuzione (CCBY)
Dimensione
340.91 kB
Formato
Adobe PDF
|
340.91 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.