The “split” flag is also used as war flag and naval ensign. Sweden and Finland also have non-rectangular war flags/naval ensigns, but with three teeth.
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While not a state flag, multiple counties in Poland use flags that are made out of a coat of arms in a rectangle and stripes to the side that are shaped like a quarter-circle, trapezoid or a triangle. For example:
Poznań
Janów
I think that’s pretty cool