Üç Boyutlu Tetrakis Hexahedron Uzayında Küresel İnversiyonlar Üzerine

Year 2022, Volume: 38 Issue: 1, 100 - 108, 30.04.2022

Zeynep Can

Abstract

Bu çalışmada, Tetrakis Hexahedron uzayında küresel inversiyonların genel özellikleri ve temel kavramları üzerinde çalıştık. Ayrıca çifte oran ve harmonik eşlenik kavramları ile R_TH^3 de bir Tetrakis Hexahedron küresine göre bir inversiyon altında doğruların, düzlemlerin ve Tetrakis Hexahedron kürelerinin küresel tersleri araştırıldı.

Keywords

Tetrakis Hexahedron Uzayı, Tetrakis Hexahedron Küresi, Çifte Oran, Harmonik Bölme, Küresel İnversiyon

On Spherical Inversions in Three Dimensional Tetrakis Hexahedron Space

Abstract

In this research, we study on general properties and basic concepts of spherical inversions in Tetrakis Hexahedron space. We also investigate cross ratio and harmonic conjugates and inverses of lines, planes and Tetrakis Hexahedron spheres in R_TH^3 under an inversion with respect to a Tetrakis Hexahedron sphere.

Keywords

Tetrakis Hexahedron Space, Tetrakis Hexahedron Sphere, Cross Ratio, Harmonic Conjugates, Spherical Inversion

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