It’s sometimes called a hotel switch, and it looks kinda like this. Remember that the circuit has to make a loop, but I’ll draw just one direction that has all the switches.
/============. .———
power =====O’ X .O======= light ON
———-` `==========/
^ SWITCH ^ SWITCH ^ SWITCH
So here you see the power going through the lines (the double equals line), and three switches. The left and right switches just switch between the top and the bottom line, while the middle switch can switch between “connecting straight” and “connecting crossed”.
So if you would switch the first one from “top” to “bottom”, the light goes off
———. .==========
power =====O. X .O——— light OFF
‘==========. ———/
^ SWITCH ^ SWITCH ^ SWITCH
Similar with the middle one when switched to “straight connect”
/===========. .===========
power =====O’ – .O——– light OFF
———— ————/
^ SWITCH ^ SWITCH ^ SWITCH
You can add as many of the “cross switches” as you want, having many switches for a single light.
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