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23  Articles
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In 2016, Yüce and Torunbalci Aydin (18) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions. Also, we investigated the relations between the dual third... see more

Este trabalho investiga a complexificação do modelo de Fibonacci através do estudo sobre os Quaternions. Assim, são apresentadas as definições para os Quaternions de Fibonacci tanto na forma real como complexa. Nesse sentido, a Fórmula de Binet e matrizes... see more

The application of non-Hamiltonian unnormalized quaternions of half-rotation in algorithmsof strapdown inertial systems is considered in the article. Non-Hamiltonian unnormalized quaternionscan be zero in contrast to the classical Hamiltonian normalized q... see more

The article considers the nonclassical quaternions and pentanions of helf-rotations of solidbody and their application in problems of control and orientation of moving objects. In contrast to classicalrationed Hamiltonian quaternions of complete rotations... see more

We construct the fcc (face centered cubic), bcc (body centered cubic) and sc (simple cubic) lattices as the root and the weight lattices of the affine extended Coxeter groups W(A3) and W(B3)=Aut(A3). It is naturally expected that these rank-3 Coxeter-Weyl... see more

There are two chiral Archimedean polyhedra, the snub cube and snub dodecahedron together with their dual Catalan solids, pentagonal icositetrahedron and pentagonal hexacontahedron. In this paper we construct the chiral polyhedra and their dual solids in a... see more

In this paper, a complete analysis of Stewart–Gough platform kinematics by unit quaternions is proposed. Even when unit quaternions have been implemented in different applications (including a kinematic analysis of the Stewart platform mechanism), the res... see more

In this work, the attitude determination and the gyros drift estimation using the Uncented Kalman Filter (UKF) and the Second-Order Extended H Filter (SOEH F) for nonlinear systems will be described. The extended H ?lter provides a rigorous method fo... see more

3-dimensional convex uniform polyhedra have been projected onto their corresponding Coxeter planes defined by the simple roots of the Coxeter diagram ,

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