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Some Topological Properties And Applications Of Equilateral Sierpiåƒski Relatives

Author

Listed:
  • XIAOHAN LI

    (School of Mathematical Sciences, Beihang University, Beijing 100083, P. R. China)

  • XIANGYU LIANG

    (School of Mathematical Sciences, Beihang University, Beijing 100083, P. R. China)

  • CHENG ZENG

    (��School of Mathematics and Information Science, Shandong Technology and Business University, Yantai, Shandong Province 264003, P. R. China)

  • YUMEI XUE

    (School of Mathematical Sciences, Beihang University, Beijing 100083, P. R. China)

Abstract

In this paper, we extend the results for connectivity and convex hulls of Sierpiński relatives whose convex hulls have right isosceles triangle boundaries to the relatives corresponding to equilateral triangle version. Furthermore, we use a particular subclass of the relatives called trapezoid-shaped relatives to build new hexagonal fractals, which helps to visualize and distinguish the subgroups of symmetries of the hexagon. These results contribute to identify the topologies of Sierpiński relatives.

Suggested Citation

  • Xiaohan Li & Xiangyu Liang & Cheng Zeng & Yumei Xue, 2024. "Some Topological Properties And Applications Of Equilateral Sierpiåƒski Relatives," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:06:n:s0218348x24501226
    DOI: 10.1142/S0218348X24501226
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