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My first idea is a dice, as in "roll a dice". However this metaphor is culture-specific and may be inappropriate in some other cultures. Another way to recast this question is to forget about the "random" aspect of the feature; instead, tell your user that it is an "automatic, non-deterministic positioning tool", where its complete randomness is merely an ...


If space is really a big issue and you need to use an icon I'd go with the shuffle icon which is pretty universal to mean turn off/on randomise rather than as you say, reorder. However if you can get the text in there I'd strongly suggest doing that as you may be making users think a bit too much to figure out what each icon means.

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