FUNCTION: Part2Mat - a planar representation of a given partition

CALLING SEQUENCE:

Part2Mat(part)

PART[Part2Mat](part)

PARAMETERS:

part = a partition

SYNOPSIS:

• The Part2Mat function gives a planar representation of a partition, (called diagram of the partition) in the Cartesian plane.

• A partition is a decreasing list of positive integers.

• The following option is allowed:
  'alphabet' = l where l is a list of 1 or 2 components, l[1] being the partition component, l[2] the outer component.

• Whenever there is a conflict between the function name Part2Mat and another name used in the same session, use the long form PART['Part2Mat'].

EXAMPLES:

> with(PART):
> Part2Mat([4,2,2]);
 
                                 [ 1  1  0  0 ]
                                 [            ]
                                 [ 1  1  0  0 ]
                                 [            ]
                                 [ 1  1  1  1 ]
 
> Part2Mat([4,2,2], 'alphabet'=[`#`,` `]);
 
                                 [ #  #       ]
                                 [            ]
                                 [ #  #       ]
                                 [            ]
                                 [ #  #  #  # ]