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                             number_of_clusters_on_sphere => 4,
                             show_hidden_in_3D_plots => 0,
                          );
  $training_data_gen->gen_data_and_write_to_csv();
  $training_data_gen->visualize_data_on_sphere($output_file);


=head1 CHANGES

Version 1.01: Typos and other errors removed in the documentation. Also included in
the documentation a link to a tutorial on data processing on manifolds.


=head1 DESCRIPTION

If you are new to machine learning and data clustering on linear and nonlinear
manifolds, your first question is likely to be: What is a manifold?  A manifold is a
space that is locally Euclidean. And a space is locally Euclidean if it allows for
the points in a small neighborhood to be represented by, say, the Cartesian
coordinates and if the distances between the points in the neighborhood are given by
the Euclidean metric.  For an example, the set of all points on the surface of a