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  • MakeBoxes[ expr , form ] is the low-level function used in Mathematica sessions to convert expressions into boxes.
  • MakeBoxes does not evaluate expr.
  • form can be StandardForm, TraditionalForm, or any other output form.
  • You can give definitions for MakeBoxes[ expr , form ] to specify your own rules for how expressions should be converted to boxes.
  • MakeBoxes is not automatically called on the results it generates. This means that explicit MakeBoxes calls must typically be inserted into definitions that are given.
  • If you change the output format for an expression by giving a definition for MakeBoxes, there is no guarantee that output you get will subsequently be able to be interpreted by Mathematica.
  • Definitions you give for MakeBoxes will override built-in Mathematica rules for generating output.
  • See the Mathematica book: Section 2.8.17.
  • See also: MakeExpression, ToBoxes, Format.