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LinkedIn isn't the most visually arresting site. Log into the InMaps "labs," however, and you see every connection, daisy-chained in colorful loops and webs. See who knows who and plot your career escape, or just reminisce over jobs of yore.
What's intriguing about the visualization 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 colors 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.