Google Public DNS permanently logs your ISP and location information for analysis. Your IP address is also stored for 24 hours.
OpenNIC has not adopted an official policy concerning log query privacy/anonymization. More information here.
A mesh network is a decentralized peer-to-peer network, with user-controlled physical links that are usually wireless.
“Mesh networking (topology) is a type of networking where each node must not only capture and disseminate its own data, but also serve as a relay for other nodes, that is, it must collaborate to propagate the data in the network.”