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Journals / Hagia Sophia Journal of Geometry / 2024 / Cilt: 6 Sayı: 2

On the Generalized Taxicab Apollonian Sets

Süheyla Ekmekçi(ESKİŞEHİR OSMANGAZİ ÜNİVERSİTESİ)0000-0003-2820-2096
Pages
1–12
Publication Date
2024-12-31
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

By examining various configurations based on the positions of given points, the generalized taxicab Apollonian sets are systematically classified and characterized.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, the concept of Apollonian set is explored in the framework of the generalized taxicab plane and named as the generalized taxicab Apollonian sets.
📊
Key Findings & Data:It is determined that these sets do not conform to the properties of generalized taxicab circles; rather, the closed simple rectilinear figures are composed of line segments.
💡
Conclusion & Impact:By examining various configurations based on the positions of given points, the generalized taxicab Apollonian sets are systematically classified and characterized.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Generalized taxicab distance · generalized taxicab plane · Apollonian sets

Abstract

In this work, the concept of Apollonian set is explored in the framework of the generalized taxicab plane and named as the generalized taxicab Apollonian sets. It is determined that these sets do not conform to the properties of generalized taxicab circles; rather, the closed simple rectilinear figures are composed of line segments. By examining various configurations based on the positions of given points, the generalized taxicab Apollonian sets are systematically classified and characterized.

🔖

Cite This Article

Ekmekçi, S. (2024). On the Generalized Taxicab Apollonian Sets. Hagia Sophia Journal of Geometry, Cilt: 6 Sayı: 2, 1–12. https://ajindex.com/articles/1490426

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References (17)

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