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[laurent_delrieu]

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Expanding boundaries to evenly fill space

I have a series of non-intersecting planar boundaries that I would like to be able to expand towards one another and evenly absorb the space between them, as is in the sketch attached. Does anyone have any ideas of how to achieve this? I had thought that it may be possible to create lines from the end points of each edge, find the midpoint and join these points to create new boundary edges, but as soon as the starting geometry becomes not parallel or differ in the number of edges they have this …