that is not an easy question to be answered honestly. since you have an arbitrary deformed pentagon you will end up with lines that start curving because the will follow a subsequently narrowing path. or the spacings will change depending on which method you chose. though the most automatic might not be what you need here.
when you use FlowAlongSrf you can use use preserve structure but that will only make the lines straight between the intersections. the tendency to curve will stay. here you can also rebuild the target surface with more control points and adapt one edge to fit more to your triangular ending.
a different solution would be to divide the edges into the amount of intersections you have there or simply create points, use Flow with option stretch to stretch the points over each edge, for the kinky edge join these 2 curves and do the same
then manually create straight lines.
a further method would be to use cage edit. use the option bounding box, build up the control polygon of as little points as possible setting it to degree 1.
the outcome will also have a curvy tendency
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Thank you very much!
you are welcome! i just noticed one more thing, if you intend to use this exact pattern, you better build it from straight lines and not squares, since i did not have you initial file i quickly built it from squares which i copied to create you pattern which for this purpose is if you want straight lines not optimal of course, so cage edit or the other options might bring you there faster without having to make it manually if you use full length lines instead.
wonderful; thanks again