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Ambiguity of information, in words, pictures, or other media, is the ability to express more than one interpretation. It is generally contrasted with vagueness, in that specific and distinct interpretations are permitted (although some may not be immediately apparent), whereas with information that is vague it is difficult to form any interpretation at the desired level of specificity.

Sir John Tenniel's illustration of the Caterpillar for Lewis Carroll's Alice's Adventures in Wonderland is noted for its ambiguous central figure, it would go against any idea that the artist has to pin point exactly what the picture is implying. The whole idea is to create your own concensus of the art.Eveyone has different eyes and, the artist had imagination far beyond the norm. The caterpillar could be the main focus or, the girl who can barely see over the mushroom. My thoughts are with the girl who looks timid however, so curious. What is going on in front of the girl could be more objectionable considering how young she is. In todays world the movie would not be easily accepted. Narrowing down ones thoughts of this artwork would be next to impossible. To conclude ambiguos is what the artists intended and, what a blessing it is to have an opinion. Carroll, Lewis. The Nursery "Alice". Dover Publications (1966)
Context may play a role in resolving ambiguity. For example the same piece of information may be ambiguous in one context and unambiguous in another.

Thank Wiki.

it means the ability to express more than one interpretation ,this is in contrast with being vague.