[lurk]

Actually cycling the battery as you are describing is what will burn the battery up and leaving it plugged in is totally OK. Now in the old days batteries did not have the voltage regulation circuitry that modern Li-polymer batteries have what you say was true, but not today. In fact if you tried to use that old style regimen for charging a modern battery it would burst into flame. That is the real reason for the voltage regulation in newer batteries, the nice side effect is that you don't have to worry about running with the "green" light on whatsoever.