Part of looking deeper, iji's mantra, is probably better described as "looking differently". Change your focus, your perspective, your angle. Reverse the assumptions and see where that leads you.
One good example of such vision is the use of whitespace. Whitespace is a term from the visual arts that refers to those areas in a design that is left unmarked, the space between graphics and text. It's not just blank space, but an intentional and sometimes integral part of a good design. It is sometimes termed "negative space", but I don't like that term.