What are these kinds of pins called?
Impossible to tell by sight, but they could very well be "Magnetic Self Locating" connectors. As with many other things, used by and popularized by Apple, but not invented by them.  

Just wild speculation, but it looks like there could be three "female" pins interleaved with three "male" pins which would make the connectors "hermaphroditic".  It would be very revealing to see the mating connector.

EDIT: Upon closer inspection, it looks like there are four modules linked together via those connectors. So I believe I am correct that they are both magnetic and 6-pin interleaved hermaphroditic.

It is not clear whether those blue lights seen in the photo are an additional optical communication method, or some sort of human indicicator, or perhaps just decorative. In any case, very nice looking modules and industrial design. I like it a lot.