Thanks so much for the help. Graphics[] is exactly what I was looking for. And of course you are right ... it says so in the documentation ... The moral is the old story "Read the documentation!"
Graphics[] works as well
Graphics[]
Show[ basegraphic, If[resultOK, piece, Graphics[]] ]
From the documentation for Graphics:
Graphics
Graphics[] gives an empty graphic with the default image size.
You can also use {}.
DuuuuH. Just solved it myself.
Show[ { baseobject, If[result_found,piece,Nothing] } ]
Yes, Mathematica, has Null, Nothing, and None .... and they are all different. :)