Help with Edge creases and topology when working with cylinders

I’m modeling this broken wine bottle. I know, not rocket science, but I’m having trouble with the appropriate loops and crease. I’m to wrangle in the sharp corners without affecting the smooth shading of the cylinder.

This is the shape I want (Figure 1). I’m using simple edge creases to do so (Figure 2) but the result are these unsightly shading “edges” in the cylinder (Figure 3). Adding an edge loop results in this folding back effect when subdivided (Figure 4).

Seems like a cut and dry example, and I’m just missing something fundamental to the approach.

Thanks for taking a moment to help me with the basics!

Edge creasing is great for quickly controling your sub-d model, without getting your hands dirty with topology and edge loops, but there is a down side - the shading issues you are experiencing are very common with edge creasing, especially when the crease weight is all the way up to 1.

I would instead recommend you clean the mesh from any edge creases, and try simply adding edge loops around the broken side of the bottle, as this seems like a simple enough model.
I know you said you tried to add an edge loop (Figure 4), but all I see is an edge crease (maybe you added the edge loops and dragged it all the way up? you should leave a bit of space).

in short:
-remove creases.
-add edge loop (with a bit of space from the top)
ec5acebbad23e814b03bc9a276676169ec6a3fbe

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Look at the middle part of the video.

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