<i>Phi</i>-Bonacci Butterfly Stroke Numbers to Assess Self-Similarity in Elite Swimmers
Abstrak
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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϕ</mi></semantics></math></inline-formula>-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.
Topik & Kata Kunci
Penulis (6)
Cristiano Maria Verrelli
Cristian Romagnoli
Roxanne Jackson
Ivo Ferretti
Giuseppe Annino
Vincenzo Bonaiuto
Akses Cepat
- Tahun Terbit
- 2021
- Sumber Database
- DOAJ
- DOI
- 10.3390/math9131545
- Akses
- Open Access ✓