Fibonacci application in phyllotaxy of plants

سال انتشار: 1399
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 380

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AHCONF05_020

تاریخ نمایه سازی: 26 آذر 1399

چکیده مقاله:

Nowadays, the relationship between different sciences has brought new attitudes to researchers, which has led to more precise scientific foundations and points of view. In his new era, interdisciplinary research is at the forefront of many researchers. Therefore, the purpose of this article is to introduce one of the relation between mathematical and botanical sciences. The Fibonacci series is one of the relationships that has been used in many cases. The open problem and ultimate goal of this article is to show that where Fibonacci is, there is beauty and order. One of these cases is the consideration of the special order in leaf, flower and cone phyllotaxy of plants. The Ebosh foliar on the surface of the ridge has a sliding performance and geometric progression to make the arrangement in the pine cone with a 13 8 degree order in two directions. So that the spiral leaf arrangement in these Fibonacci leaflets is reached in the form of a mathematical expression expressed in formulas , showing the formation of consecutive leaves with a 137.5 degree deviation. In general, it can be argued that this beautiful arrangement can be seen in other plants But they have different angles . For example, in mint (Mentha Piperita) leaves, this angle reaches 180 degrees, which is a sign of the order of creation. Hope other researchers consider the mathematical formulas in other plants. In the end, the application of this order and the help of this formula can be found in the establishment of regular houses in biological houses in the regulation of useful energy and other items.

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نویسندگان

Zohreh Jafari

Young researchers and elite club, Arak Branch, Islamic Azad University, Arak, Iran

Mojtaba Ghanbari

Department of Mathematics, Farahan Branch, Islamic Azad University, Farahan, Iran