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I'd like to recreate and make different permutations of the image below. What's the best approach to do this?

I tried doing this in Photoshop, however it doesn't look how I want it to and the shapes are too irregular. Is it not as flexible as doing it in Illustrator? I have little knowledge of Illustrator, so I'm unsure how to exactly manipulate the shapes in an arrangement like this.

enter image description here

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    Hi AnotherHay, thanks for your question. Could you tell us what you tried that didn't work? Always good to show some effort, and your chances for a good answer increase. If you have any questions, please see the help center or ping one of us in the Graphic Design Chat once your reputation is sufficient (20). Keep contributing and enjoy the site! – AndrewH Feb 25 '16 at 20:34
  • Hi AndrewH, I tried doing this on Ps, however it doesn't look like I wanted it to be, and kinda too irregular. It's not as flexible as maybe doing it on Ai? I have little knowledge of Ai so I'm unsure how to exactly manipulate shapes like on this arrangement. – AnotherHay Feb 25 '16 at 20:46
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I recommend doing this in a vector program. For my demo I am doing this in Illustrator.

Draw the background square.

Draw some paths that will separate the square.

paths over background shape

I then gave the paths a stroke and stroke width of 4. Pick a number for how much space you want from each object. I then selected all of the strokes and went to Object -> Expand, and expanded the stroke.

strokes over background

Select both the strokes and background and open the pathfinder options, Window -> Pathfinder and select "Divide".

Select the black stroke with the direct select tool and go to Select -> Same -> Fill Color and delete all of the black fills.

In Illustrator CC, select all of the blue objects and use the live corners to make the corners round.

In Illustrator CS6, and below, select all of the blue objects and go to Effect -> Stylize -> Round Corners.

Result

Final Result

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