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Author | Gielis, J.; Caratelli, D.; Shi, P.; Ricci, P.E. | ||||
Title | A note on spirals and curvature | Type | A1 Journal article | ||
Year | 2020 | Publication | Growth and form | Abbreviated Journal | |
Volume | 1 | Issue | 1 | Pages | 1-8 |
Keywords | A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) | ||||
Abstract | Starting from logarithmic, sinusoidal and power spirals, it is shown how these spirals are connected directly with Chebyshev polynomials, Lamé curves, with allometry and Antonelli-metrics in Finsler geometry. Curvature is a crucial concept in geometry both for closed curves and equiangular spirals, and allowed Dillen to give a general definition of spirals. Many natural shapes can be described as a combination of one of two basic shapes in nature—circle and spiral—with Gielis transformations. Using this idea, shape description itself is used to develop a novel approach to anisotropic curvature in nature. Various examples are discussed, including fusion in flowers and its connection to the recently described pseudo-Chebyshev functions. | ||||
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Corporate Author | Thesis | ||||
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Place of Publication | Editor | |||
Language | Wos | Publication Date | 2020-02-23 | ||
Series Editor | Series Title | Abbreviated Series Title | |||
Series Volume | Series Issue | Edition | |||
ISSN | ISBN | Additional Links | UA library record | ||
Impact Factor | Times cited | Open Access | |||
Notes | Approved | Most recent IF: NA | |||
Call Number | UA @ admin @ c:irua:167061 | Serial | 6569 | ||
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