Golden Ratio Fractality
Золотое сечение как инвариант фрактальности, самоподобия и рекурсии
安东·潘克拉托夫(独立)·
phigolden ratiofractalityself-similarityrecursion
摘要
摘要
ZHGolden ratio and fractality
Abstract
ENPhi as fixed point of self-referential map f(x)=1+1/x. Discrete iterative invariant complementary to continuous phase invariant pi.
Аннотация
RUPhi как неподвижная точка самореферентного отображения f(x)=1+1/x. Дискретный итеративный инвариант, комплементарный непрерывному фазовому инварианту pi.
主题与标识符
- 主题：
- Mathematical Physics (math-ph) · phi · golden ratio · fractality · self-similarity · recursion
- 类别：
- Mathematical Structures
- 作者：
- 安东·潘克拉托夫（独立研究者）
- 提交：
- 最后修改：
- 语言：
- 俄语（主要）、英语
- 永久链接：
- https://odtoe.org/zh/articles/phi-fractality
- 期刊：
- Observer-Dependent Theory of Everything（ODTOE文集）
- 评论：
- 学术合作或勘误请通过 /contact。欢迎引用与学术交流。
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纯文本
类APAPankratov A. "Golden Ratio as Invariant of Fractality, Self-Similarity and Recursion." Observer-Dependent Theory of Everything, odtoe.org, 2026. https://odtoe.org/zh/articles/phi-fractalityBibTeX[ 点击展开 ]
@article{pankratov2026phiFractality,
author = {Pankratov, Anton},
title = {Golden Ratio as Invariant of Fractality, Self-Similarity and Recursion},
journal = {Observer-Dependent Theory of Everything},
year = {2026},
month = {Feb},
url = {https://odtoe.org/zh/articles/phi-fractality},
publisher = {odtoe.org}
}RIS (EndNote / Reference Manager)[ 点击展开 ]
TY - JOUR
AU - Pankratov, Anton
TI - Golden Ratio as Invariant of Fractality, Self-Similarity and Recursion
JO - Observer-Dependent Theory of Everything
PY - 2026
DA - 2026-02-13
UR - https://odtoe.org/zh/articles/phi-fractality
PB - odtoe.org
ER - Golden Ratio FractalityEN