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based on an earlier version of the Wolfram Language.
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MakeBoxes

MakeBoxes[expr, form]
is the low-level function used in Mathematica sessions to convert expressions into boxes.
MakeBoxes[expr]
is the function to convert expr to StandardForm boxes.
  • 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.
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