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I was able to get the DK1 working using a hdmi -> regular displayport adapter for my Thinkpad X220 on Ubuntu 13.04

I assume this means there is one cable that splits in to an HDMI and USB connector. It will work with any HDMI adaptors.

I haven't had any problems connecting my DK1 to my macbook with a mini display port -> adapter.

I can't find anything that definitively states it, but from how it's worded it sounds like it's a single cable that just has both HDMI and USB connectors on the end, not some sort of weird custom connector that tries to send both over the same set of pins.