Here is another solution we could find.

Using DCEL we can make blocks from touching lines.

For Python there is a package {here}. It is a tiny implementation with some bugs. Nevertheless with some effort it can be used for this problem. Also note the following stages:

A pre-processing stage with which all intersections between lines are found. Then accordingly all lines are broken into segments at the interaction points. A list of intersection points and a list of associated edges are those needed for DCEL.

Here is another solution we could find.

Using DCEL we can make blocks from touching lines.

For Python there is a package {here}. It is a tiny implementation with some bugs. Nevertheless with some effort it can be used for this problem. Also note the following stages:

A pre-processing stage with which all intersections between lines are found. Then accordingly all lines are broken into segments at the interaction points. A list of intersection points and a list of associated edges are those needed for DCEL.