Also manz was very much on the right "track" :) above with the idea to break the curve into equal sized markers.
But once you have done that you don't want to use the curve anymore, because you don't want to get aligned to just some tangent along the curve, you want to have pieces to be aligned only specifically in those line directions.
When the curve is only made up of lines, then when it gets a curve tangent to align each piece to, it will be along those line directions and not at some more smoothly changing curved piece.
- Michael
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