You can connect to their "supernodes" which are the backbone, that connect to the Internet proper. You can also connect via other member nodes. So by my understanding of the colloquial term "mesh" for wifi, it is.
I do take issue with their FAQ stating they're not an ISP. They are providing Internet access to the public. They are an ISP, even if their structure and methods are unconventional. Maybe they're avoiding the term due to legalese?
It's an interesting project. I wonder if something like that would work in urban San Antonio... Hm!
Yes you can then extend it a bit a sort of create a mesh, but it's not really the same as having a mesh network which spreads out evenly from individual access points.
internet at cyberfoxfire com
The problem is that in the experience of the similar German "freifunk" project, which tried this with custom router firmware, this really doesn't scale well, even with a custom developed routing protocol (B.A.T.M.A.N). So many Freifunk communities are also choosing this supernode setup as a compromise between "full" mesh and good connectivity.
"All of our network nodes cooperate in the distribution of data, and the network can also function independently in case of emergencies or internet shutdown."
Sounds fairly meshy to me.
That does not describe anything related to a mesh network. It appears that the people running it are joining nodes in a mesh network, but they don't seem to be encouraging you to join in a mesh network.