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Thanks to methods found in the below, I was able to assemble those elements :

Tile image on specific location without space between them

How to combine images with the same dimensions in a grid?

enter image description here

Now, I would like to use Manipulate [] to have a button that, when pressed generate a new composition, "re-run" the code.

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up vote 4 down vote accepted

Do you actually need a Manipulate expression, or is this sufficient?

DynamicModule[{x = Null}, Column[{
   Button["Shuffle Images", 
    x = ImageAssemble[
        Flatten@{DarkBlueB, DarkBlueC, DarkBlueN, DarkBlueE}, 20], 5]]
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this is so cool ! Later I will add sophistications but for now tho is real good ! – 500 Feb 2 '12 at 12:26
How can I adjust the width of both items ? I tried to use ItemSize in the column but it does not work. The ImageAssemble appear smaller than it should for now. – 500 Feb 2 '12 at 13:12
@500 please try Image[ImageAssemble[ ... ], Magnification -> 1] – Mr.Wizard Feb 3 '12 at 4:57

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