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The CERN POISSON package consists of a set of programs designed by R.F. Holsinger and C. Iselin for the solution of Poisson's or Laplace's equation in two-dimensional regions. The package is the most popular to solve magnetostatic problems for the magnetic systems with the geometry reducing to the two-dimensional case. There are four constituents of the package: the mesh generator LATTCR, the equation solver POISCR, the plot program TRIPCR, and the force computing program FORCCR. To discretize the problem a topologically regular triangle mesh is used over all the programs and each node of this mesh is identified by two logical coordinates in the arrays of data and two physical coordinates in the xy- or rz-plane in which the geometry of magnetic system is described.