The Relationship between the Sum of Reciprocal Golden Section Numbers and the Fibonacci Numbers

被引：0
|
作者：
Fang, Haiquan [1 ]
Xue, Huifeng [1 ]
Zhou, Tiejun [2 ]
机构：
[1] China Aerosp Acad Syst Sci & Engn, Beijing 100048, Peoples R China
[2] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China
来源：
2017 5TH INTERNATIONAL CONFERENCE ON COMPUTER-AIDED DESIGN, MANUFACTURING, MODELING AND SIMULATION (CDMMS 2017) | 2017年 / 1834卷
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1063/1.4981631
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
The golden section sequence of points was defined, and we found that the logarithmic spiral, golden section sequence, and Fibonacci sequence exhibit a close relationship. We considered infinite sums derived from the reciprocals of the golden section numbers and Fibonacci numbers, and infinite sums derived from the reciprocals of the square of the golden section numbers and Fibonacci numbers. Applying the floor function to the reciprocals of these sums, we determined that they are equal to each other.
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页数：8
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