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Author Yao, W.; Hui, C.; Wang, L.; Wang, J.; Gielis, J.; Shi, P. doi  openurl
  Title Comparison of the performance of two polar equations in describing the geometries of elliptical fruits Type A1 Journal article
  Year (down) 2024 Publication Botany letters Abbreviated Journal  
  Volume Issue Pages  
  Keywords A1 Journal article; Antwerp engineering, PhotoElectroChemistry & Sensing (A-PECS)  
  Abstract In nature, the two-dimensional (2D) profiles of fruits from many plants often resemble ellipses. However, it remains unclear whether these profiles strictly adhere to the ellipse equation, as many natural shapes resembling ellipses are actually better described as superellipses. The superellipse equation, which includes an additional parameter n compared to the ellipse equation, can generate a broader range of shapes, with the ellipse being just a special case of the superellipse. To investigate whether the 2D profiles of fruits are better described by ellipses or superellipses, we collected a total of 751 mature and undamaged fruits from 31 naturally growing plants of Cucumis melo L. var. agrestis Naud. Our analysis revealed that most adjusted root-mean-square errors (> 92% of the 751 fruits) for fitting the superellipse equation to the fruit profiles were consistently less than 0.0165. Furthermore, there were 638 of the 751 fruits (ca. 85%) with the 95% confidence intervals of the estimated parameter n in the superellipse equation not including 2. These findings suggest that the profiles of C. melo var. agrestis fruits align more closely with the superellipse equation than with the ellipse equation. This study provides evidence for the existence of the superellipse in fruit profiles, which has significant implications for studying fruit geometries and estimating fruit volumes using the solid of revolution formula. Furthermore, this discovery may contribute to a deeper understanding of the mechanisms driving the evolution of fruit shapes.  
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  Corporate Author Thesis  
  Publisher Place of Publication Editor  
  Language Wos 001219634500001 Publication Date 2024-05-08  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 2381-8107; 2381-8115 ISBN Additional Links UA library record; WoS full record  
  Impact Factor 1.5 Times cited Open Access  
  Notes Approved Most recent IF: 1.5; 2024 IF: NA  
  Call Number UA @ admin @ c:irua:205955 Serial 9140  
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