To generate a grid on a withe sheet, somehow is simple, simply to parallel bars and their perpendiculars draw up and ready.
To develop a grid on a three-dimensional surface, as for example in a shell (half a sphere), it is a true problem, which is still greater when the body is more complex.

These graticules have the appearance of being based on quadrilaterals, but it is not thus. The Mathemathics lodge a theorem that says Any surface it is triangulable, that is to say that a quadrilateral assumption is not another thing any more than two adjacent triangles and whose succession produces the effect of a squared tablecloth, as it has done in the figures of this section.

It is evident that the parts of the triangle that make contact with the surface of the body, exclusively are his apexes. If it is thus, then one will say that the triangle is coplanar. Therefore, the surface division is obtained by the determination of the apexes of the squared pattern that is generated on it.

 
 
PARABOLIC HYPERBOLIC
 
 
SHELLS
 
STONES
 
 
DIVERSE SURFACES
 
 

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