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Three-Dimensional Transformations and the Householder Transformation in Fibonacci and Lucas Three-Vectors

D.B. Başköy Akagündüz, H. Kuşak Samancı

Abstract



In this study, local scaling, overall scaling, shearing, reflection, rotation, translation, and multiple transformations applications in three-dimensional space; by using the properties of Fibonacci and Lucas three-vectors, transformation matrices of Fibonacci and Lucas three-vectors have been obtained. Later, in a Fibonacci and Lucas three-vectors defined in this space, the Householder transform and the matrix corresponding to this transformation are given. By giving examples about each transformation, the figures were drawn in the Maple program.

Keywords


Geometric Transformations, Fibonacci and Lucas three-vectors, Householder transformation.

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