I'm working on a map, just a moment...
EDIT:

The map is not very hard to understand:
The single black lines are the pipes, the red circles are the wheels. The numbers attached to the wheels show in what state they are turned into. The coloured numbers near the pipes show if they're warm or cold, and in which state they are warm or cold. Red is warm, blue is cold. (example: the lower wheel has been turned to state 2, thus the left pipe gets warm and the right one gets cold.)
Pink text means that it is not known if the object is warm or cold.
Get it?