As the classic definition goes: Complexity is a function of the number of components and their interactions in a system, while Complicatedness is a function of the nature of those interactions . Thus a complex system is not necessarily a complicated system, and vice-versa.
We believe that visualization and presentation play a huge part in reducing both complexity and complicatedness, especially when it comes to interactions with data. While that may seem to be a no-brainer, finding the right visualization mechanism for a situation is particularly difficult.
Here is a fabulous "thought-starter" to thinking through what approach might be most appropriate for a given situation.

Source: http://i.imgur.com/YjWta.jpg
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