click to view the MPEG movie (cliquez pour voir le film MPEG)

Computation of the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space [Calcul des racines de Q^3=1 grâce à la méthode de Newton avec translation le long du troisième axe de l'espace des quaternions].




See some visualizations of the obtained quaternionic fractal set:

The quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space -tridimensional cross-section- The quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space -tridimensional cross-section-


See some artistic views of the obtained quaternionic fractal set:

Artistic view of the quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space -tridimensional cross-section- Artistic view of the quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space -tridimensional cross-section-


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