Numbering of the sides of a cube

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In many situations, especially in continuum mechanics, it is useful to have a generic way to refer to the different sides of a cube.

When the lines are parallel to a vector base (\vec{e_1},\vec{e_2},\vec{e_3}), then :

  • the sides perpendicular to \vec{e_i} ares called "i" and "-i" ;
  • point from the center of the cube, \vec{e_i} points towards the i side, the -i side is at the opposite.

Numerotation faces cube.png