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Average Fermat Distance Of A Self-Similar Fractal Tree

Author

Listed:
  • YING MA

    (School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China)

  • CHEN CHEN

    (School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China)

  • LIFENG XI

    (School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China)

Abstract

The point within a triangle that meets the minimum sum of the distances to the three vertices is called the Fermat point. The aim of this paper is to obtain the Fermat average distance on a self-similar fractal tree in terms of the self-similar measure and the technique of finite pattern.

Suggested Citation

  • Ying Ma & Chen Chen & Lifeng Xi, 2022. "Average Fermat Distance Of A Self-Similar Fractal Tree," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(04), pages 1-10, June.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:04:n:s0218348x22500761
    DOI: 10.1142/S0218348X22500761
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    Cited by:

    1. Al Afif, Rafat & Ayed, Yasmine & Maaitah, Omer Nawaf, 2023. "Feasibility and optimal sizing analysis of hybrid renewable energy systems: A case study of Al-Karak, Jordan," Renewable Energy, Elsevier, vol. 204(C), pages 229-249.
    2. Bosu, Issa & Mahmoud, Hatem & Hassan, Hamdy, 2023. "Energy audit, techno-economic, and environmental assessment of integrating solar technologies for energy management in a university residential building: A case study," Applied Energy, Elsevier, vol. 341(C).
    3. Smith, Sarah E. & Viggiano, Bianca & Ali, Naseem & Silverman, Timothy J & Obligado, Martín & Calaf, Marc & Cal, Raúl Bayoán, 2022. "Increased panel height enhances cooling for photovoltaic solar farms," Applied Energy, Elsevier, vol. 325(C).

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