
I have tried recreating (basically by adjusting the bezier curves manually) the shape drawing two paths, and the result was a good enough outline (one of the paths set to red to show its shape):

However what I want to obtain is a shape whose fill I can customise, and none of the options to join the two paths worked. The best I could obtain was as follows, through the Exclusion command (Combine works too, the differences are explained in the next line):

Those 4-point intersections are my problem (using Combine instead of Exclusion gives only 2 points at each intersection's top and bottom angles instead): I've tried various things to make the segments between them go away, to no avail.
It might be because it's late at night where I'm at, but I really can't put my finger on a solution. What am I doing wrong?
Thank you in advance for your help.
of course). Visually, this gives a good result, however if I tried to change the fill, the rhomboidal shapes in the intersections wouldn't be influenced. Then I simply selected the segments of the different parts of the band at either side of the intersections (always selecting the two sides of the band that is supposed to go above the other - apparently selecting the two right or the two left sides doesn't change the end result) and used the "Join selected endpoints with a new segment" tool, et voilà: the file now contains a single segment that intersects itself, fully controllable and fillable.