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A router is a networking device that forwards data packets between computer networks. Routers perform the "traffic directing" functions on the Internet. The most familiar type of routers are home and small office cable or DSL routers that simply pass data, such as web pages, email, IM, and videos between computers and the Internet. More sophisticated routers, such as enterprise routers, connect large business or ISP networks up to the powerful core routers that forward data at high speed along the optical fiber lines of the Internet backbone. Though routers are typically dedicated hardware devices, use of software-based routers has grown increasingly common.
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Even if you did a one to one NAT, you'd still have a problem sending to the worksationA or B because the network wouldn't know to send it to the router because before it put in the router's Ethernet address it would do a binary add to determine if it was local or not, see that it is (based on it's IP address and local subnet mask) and then send it via Ethernet at layer 2 to the local machine, not to the remote machine via the router.
If you want to connect two IP networks, you REALLY, REALLY need to make sure they're not the same network, unless you intend to bridge them.