Comments on: Sunflowers and Fibonacci: Models of Efficiency
https://thatsmaths.com/2014/06/05/sunflowers-and-fibonacci-models-of-efficiency/
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By: Evenly Distributing Points in a Triangle. | Extreme Learning
https://thatsmaths.com/2014/06/05/sunflowers-and-fibonacci-models-of-efficiency/#comment-6846
Wed, 30 Jan 2019 16:37:15 +0000http://thatsmaths.com/?p=2593#comment-6846[…] spiral. It is very frequently cited that this is the structure of many flowers such as the sunflower due to […]
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By: Fermat Spirals for Layered 3D Printing | Two Minute Papers #77 – 3D Printer And Parts Online Shop
https://thatsmaths.com/2014/06/05/sunflowers-and-fibonacci-models-of-efficiency/#comment-6192
Thu, 31 May 2018 05:02:08 +0000http://thatsmaths.com/?p=2593#comment-6192[…] article on sunflowers + paper “Fibonacci patterns: common or rare?” is available here: Sunflowers and Fibonacci: Models of Efficiency […]
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By: Mesmerizing Fractals – Kreativ Løve
https://thatsmaths.com/2014/06/05/sunflowers-and-fibonacci-models-of-efficiency/#comment-4749
Wed, 04 Jan 2017 20:19:11 +0000http://thatsmaths.com/?p=2593#comment-4749[…] Phyllotaxis is the botanical study of the arrangement of phylla (leaves, petals, seeds, etc.) on plants. More than four centuries ago, the great astronomer Johannes Kepler noticed the spiral patterns on plants but no satisfactory explanation has emerged until recently. Phyllotactic spirals form distinctive patterns in a variety of plants. For example, the leaves are often arranged in a helical pattern, as if winding around the stem. On pineapples, the hexagonal fruits fit together in interlocking families of helical spirals. The numbers of spirals are successive Fibonacci numbers like 5, 8 and 13. Sunflowers, which belong to the daisy family, usually have 55, 89 or 144 petals, and spiral patterns are evident in their seeds. Biologists described long ago how the phylla are arranged, but explaining why these patterns form is much more difficult, and it is only recently that real progress has been made. Classical explanations of phyllotaxis appeal to optimisation principles, but do not account for how these optima are achieved. (read more about the maths behind the efficient packing of sunflowers and many other plants here). […]
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By: My Blog
https://thatsmaths.com/2014/06/05/sunflowers-and-fibonacci-models-of-efficiency/#comment-4432
Sun, 07 Feb 2016 21:05:17 +0000http://thatsmaths.com/?p=2593#comment-4432[…] Sources: Sunflowers and Fibonacci: Models of Efficiency […]
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