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Package plato (in plato.i) -

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plato

plato

DOCUMENT plato.i
  Contains routines to generate points related to Platonic
  solids and other pleasing or simple 3D geometrical objects.

  pt_tet       All these return points of the solid imbedded in 
  pt_cube      a pleasing way inside the cube with corners +-1. 
  pt_oct       With a non-zero parameter, the points are instead
  pt_dodec     normalized to unit length.
  pt_ico

  bucky        return points or faces of geodesic dome-like
               solids and their solid angles