[bsb]

I never heard of "Hypermedia API" either - sounds like some REST people are lazy, don't leverage things like content negotiation, URI de-referencing, etc and wind up with an HTTP-RPCish monster with a REST name tag on it.

[NanoWar]

This is one of the best explanations of the hypermedia constraint in REST I found, and it uses the term: http://oredev.org/2010/sessions/hypermedia-apis

[itaborai83]

http://en.wikipedia.org/wiki/HATEOAS

[bsb]

HATEOAS yes, "Hypermedia API" no -- reducing the distributed state engine of HATEOAS at the same level of RPC-style APIs doesn't adequately convey the purpose of HATEOAS