LinkedIn isn't the most visually arresting site. Log into the InMaps "labs", however, and you see every connection, daisy-chained in colourful loops and webs. See who knows who and plot your career escape, or just reminisce over jobs of yore.
What's intriguing about the visualisation is that it isn't color-coded by connection type, job, company or other pre-determined indicators—at least, not obviously, and not at first. LinkedIn wants you to figure out what the colours mean and label them yourself. Presumably, you're the one with a better sense of how a group of friends from one city, except for a few, are connected in a unique way.
InMaps is a free "labs" feature from LinkedIn, and requires a free account to use.