jackk said:
... is it manifold or non-manifold when the 3 curves are joined at a common point (such as a "Y")?
What you're describing is NOT an 'edge' but rather a 'vertex' or corner. Generally speaking, a vertex can be shared by an unlimited number of faces, or to put it another way, any number of edges can be joined at a common vertex.
As for your second question, what determines a manifold condition is NOT the
edge/vertex nor the
face/vertex relationships but rather the
edge/face relationship. So to answer thae question, ANY situation were you are attempting to create a model where an EDGE is shared by MORE THAN 2 FACES. BTW, while it's fairly common for someone attempting to create topology where four faces share a common edge, having a situation which involves only THREE faces, now that takes some real creativity ;-)
There is also another, although generally more obscure, non-manifold condition and that is where an attempt is made to join two faces into a single model where NONE of the faces share a common edge. To visualize an example of this think of a 'T' where one face 'joins' the other at a mid-point on that face. This again would be considered non-manifold if you tired to treat it as a single topological body.
John R. Baker, P.E.
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