Right. So there is no path 4-a3-b2-c1. Which is what I meant, and needed to be said, because in the representation I had drawn, it looked like there could be.
I am still looking for a somewhat more intuitive description. It looks like 4 and a4 are really the same cell, (double width in my drawing), which always borders b4. And that there is a sliding door that either closes off the connection with a5 or b5, which has to be set as soon as you enter 4/a4, and can then not be altered until you leave it. (Which could be on the same turn.) Entering from above forces you to set the door such that you could enter.
Right. So there is no path 4-a3-b2-c1. Which is what I meant, and needed to be said, because in the representation I had drawn, it looked like there could be.
I am still looking for a somewhat more intuitive description. It looks like 4 and a4 are really the same cell, (double width in my drawing), which always borders b4. And that there is a sliding door that either closes off the connection with a5 or b5, which has to be set as soon as you enter 4/a4, and can then not be altered until you leave it. (Which could be on the same turn.) Entering from above forces you to set the door such that you could enter.