# Drawing Triangles from a List of Incircles?

I have drawn the incircles of triangles which were generated through a delaunay triangulation but lost the original delaunay mesh. Is it possible to invert the process and draw the triangles back from this list of circles?

Many thanks,

Arthur

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I doubt it. That seems incredibly challenging if possible. I suspect that it is not unique, and that is the big problem. – mixedmath Sep 25 '11 at 19:41
Don't you mean the circumcircles of the triangles? – lhf Sep 25 '11 at 19:58
Hi lhf, no it is the incircles (circle within triangle tangent to each edge) – Arthur Mamou-Mani Sep 25 '11 at 20:04
Do you know which incircles correspond to neighboring triangles in the original triangulation? If so, there are only two possibilities for each edge, and since three or more edges have to coincide in the corners, it is likely to be possible to find a corner that can be identified uniquely, and from there it should be easy to select the right corners in the entire grid. Of course there are probably degenerate cases where there really are two equally good solutions. – Henning Makholm Sep 25 '11 at 21:05