J4 ›› 2011, Vol. 38 ›› Issue (3): 1-6.doi: 10.3969/j.issn.1001-2400.2011.03.001
• 研究论文 • 下一篇
LIANG Changhong；TAN Kangbo；ZHANG Wei
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摘要：
斐波那契数列可以看成二代均衡繁殖数列，它所对应的是黄金分割．笔者将其推广为2代不均衡K&M数列及对应的分割，提出了N代斐波那契数列和N代黄金分割，给出了重要定理．特别指出，当N→∞代时，黄金分割即为:庄子切棒．
关键词: K&M数列, N代斐波那契数列, N代黄金分割, 庄子切棒
Abstract:
The Fibonacci Sequence can be seen as the 2-generation symmetrical genetic series, which corresponds to the golden section. It is extended to the Second-generation uneven K&M sequence and the corresponding partition in this paper. The N-generation Fibonacci Sequence and the Nth-generation golden section are proposed. It is specifically pointed out that the Nth-generation (N→∞) golden section is known as the Zhuangzi cutting rod.
Key words: K&M series, the Nth-generation Fibonacci Sequence, the Nth-generation golden section, Zhuangzi cutting rod
梁昌洪；谭康伯；张伟. N代斐波那契数列和N代黄金分割[J]. J4, 2011, 38(3): 1-6.
LIANG Changhong；TAN Kangbo；ZHANG Wei. N-generation Fibonacci sequence and the Nth-generation golden section[J]. J4, 2011, 38(3): 1-6.
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链接本文: https://journal.xidian.edu.cn/xdxb/CN/10.3969/j.issn.1001-2400.2011.03.001
https://journal.xidian.edu.cn/xdxb/CN/Y2011/V38/I3/1
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