The K-smooth integers on a Tridimensional Hilbert Curve -iteration 3- [Les entiers K-friables sur une courbe de Hilbert tridimensionnelle -itération 3-].




Starting from the bottom front right corner of the [0,+1]x[0,+1]x[0,+1] cube, the spheres are numbered (N=2,..., 513) when following a tridimensional Hilbert curve -iteration 3-. The radius of the sphere displaying the number N is a decreasing function of the logarithm of the smoothness K of N (K being the largest prime factors of N).


Nota: the used color palette displays the parametric coordinate of the curve.


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