I'm trying to satiate my curiosity by doing a small network reachability test. I want to try to ping all subnets of a wireless network at my school from the subnet that I am connected to. So, suppose the network has 4 subnets (a,b,c,d) and I am connected to 'a', I want to try to ping at least 1 computer in subnets 'b','c', and 'd'. Once I have finished pinging, I want to connect to the next subnet (b) and repeat this process until I've connected to all subnets and tested all the other subnets.
I read some of the other similar threads and a lot of people suggested nmap as a very robust tool for network testing. Is it applicable to my case? How should I go about doing this task?