Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5- [Représentation tridimensionnelle d'une variété quadridimensionnelle de Calabi-Yau décrite à l'aide de 5x5 courbes de Hilbert bidimensionnelle -itération 5- ]

Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5- [Représentation tridimensionnelle d'une variété quadridimensionnelle de Calabi-Yau décrite à l'aide de 5x5 courbes de Hilbert bidimensionnelle -itération 5-].




This picture displays the encounter of two infinitely small. On the one hand, the Physics one: the Calabi-Yau manifold is at the heart of the super-string theory at the Planck scale -1.6 10-35 meter-. On the other hand, the Mathematics one: the Hilbert space filling Curve exhibits an application between [0,1] and [0,1]x[0,1]: R and R2 have the same cardinality.


See the Bidimensional Hilbert Curve -iteration 5-:

Bidimensional Hilbert Curve -iteration 5-

See the quadridimensional Calabi-Yau manifold:

Tridimensional representation of a quadridimensional Calabi-Yau manifold


See a related picture:

Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of one of the 2339 pentominos 6x10 puzzle


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