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HOMOTHETIC MOTIONS WITH GENERALIZED TRICOMPLEX NUMBERS
( Siddika Özkaldi Karakuş ),( Ferdağ Kahraman Aksoyak ),( Gülşah Özaydin ) 호남수학회 2024 호남수학학술지 Vol.46 No.1
In this paper, we define the generalized tricomplex numbers and give some algebraic properties of them. By using the matrix representation of generalized tricomplex numbers, we determine a motion on the hypersurface M in eight dimensional generalized linear space ℝ<sup>8</sup><sub>α</sub><sub>βγ</sub> and show that this is a homothetic motion. Also, for some special cases of the real numbers α, β and γ, we give some examples of homothetic motions in ℝ<sup>8</sup> and ℝ<sup>8</sup><sub>4</sub> and obtain some rotational matrices in these spaces, too.