daisy chain reposted

I reposted becouse the diagram was incomprensible :-(

maybe this is out of topic, but:
i have an embedded system with two lan adapters running linux,
i would like to wire a lot of it in a "daisy chain way":

         sys1        sys2       sysn-1      sysn
     +---------+ +---------+ +---------+ +---------+
     |eth0 eth1| |eth0 eth1| |eth0 eth1| |eth0 eth1|
     +---------+ +---------+ +---------+ +---------+
       |	 |     |      |     |     |     |    
+--------+   +--x--+      +--x--+     +--x--+    
| switch |    cross-cables
+--------+

This approach eliminate the need of expensive switches.
It's feasible?
how (bridging, routing?)
There is a limit of chaining devices number?

Any help will be appreciated.