Puzzlerium tour: 2D Printing

Edit: This puzzle had no solution (bottom-right). Bottom-right slightly modified to allow a solution. 

Rules: Draw a single, non-intersecting loop, vertically or horizontally through the centres of the cells. The path of the loop has to pass each of the edges marked with a circle. Furthermore, the portions of the loop on either side of the given circle, extending as far as before leaving the region, should both be absolutely identical in shape and length (ignoring rotations and reflections). 

In the illustrative figure below, the parts of the loop around the white circles do not follow the rules, while the loop parts around the black circle are good. 

About: “2D Printing” was invented by Anurag Sahay.