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FilledSmallSquareButtonData is an option for ButtonBox which specifies the second argument to give to the ButtonFunction for the button when the button is active and is clicked on.

FilledSmallSquare The default is ButtonData->Automatic.

FilledSmallSquareButtonData provides a convenient way to associate additional data with a button that does not affect the display of the button.

FilledSmallSquare See The Mathematica Book: Section 2.10.6.

FilledSmallSquare See also: ButtonSource, ButtonNote, ButtonStyle.