In a mesh network, I see multiple cables sourcing from and ending at every system. Where exactly are they connected? Do I need to have as many NIC cards in my system or a hub with each system? Similarly there are two connections that each system in a ring topology need to have. Where do they terminate?
I am not sure exactly what you are asking. There are two formulas to determine the number of connections needed. They are both based on the number of Nodes.
Partial Mess n2/ √ (n-1)
Full Mess n2-n/2
Two NIC cards with each station would work. A hub would not provide a mesh. In a ring topology all stations act as repeaters and are not terminated.
This definition and diagram may also be of help: