Open Access Open Access  Restricted Access Subscription or Fee Access

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

D.B. Başköy Akagündüz, H. Kuşak Samancı


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.


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

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.