Hello dappie,
Welcome to Talkgraphics.
A printed moire pattern will not animate unless it is moved, either the viewer moves or the media it is printed on moves.
The pattern can be created with all graphics applications I know about.
Personally I use Xara Xtreme.
The first attached image shows some vertical lines. The second image shows the moire effect with a clone of the lines rotated 5°.
http://en.wikipedia.org/wiki/Moir%C3%A9_pattern
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