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I have always had issues with curved surfaces, like the foot of a wine glass, for instance, but I have found that with smoothing them, it makes them to look like either a pancake or a paperplate, here is a fine example of this cylinder that I used the subserf modifier on:

Smooth Faces

It's just a simple cylinder: enter image description here

And when I subsurf it, it makes like these ridges in the middles of what would be the tris. enter image description here enter image description here

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marked as duplicate by Duarte Farrajota Ramos, Ray Mairlot, cegaton modeling Mar 8 at 20:10

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    $\begingroup$ I guess it's a problem of topology, you need to add some edge loops close to the edges so that it eliminate these artifacts, maybe show your topology in wireframe, or share your file? $\endgroup$ – moonboots Mar 8 at 10:51
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    $\begingroup$ It is literally just a cylinder that is subsurfed. It may be the topology. I have never considered loop cutting the flat edges of the circles. $\endgroup$ – Matthew T. Scarbrough Mar 8 at 11:11
  • $\begingroup$ blender.stackexchange.com/questions/41885/… $\endgroup$ – Duarte Farrajota Ramos Mar 8 at 11:54
  • $\begingroup$ See also: blender.stackexchange.com/questions/82477/… $\endgroup$ – cegaton Mar 8 at 20:12
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    $\begingroup$ Yes, it turns out this was a duplicate--avoiding the wrinkling at the poles of a sphere. The topology was the problem. I went back this time with a square plane, extruded it out and and subdivid-smoothed the center and then used the subsurf modifier and it worked perfectly. $\endgroup$ – Matthew T. Scarbrough Mar 8 at 22:47
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You will automatically have these artifacts with this kind of topology (if you leave the top without any edge loop along the rim), because the subsurf won't leave enough faces to interpolate correctly between the slice and the top. So create a bevel or at least an inset to fix the problem:

enter image description here

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  • $\begingroup$ While this is a fine answer, and I do like that you explained that that is a natural problem with the topology, that is not the kind of shape I wanted to make. $\endgroup$ – Matthew T. Scarbrough Mar 8 at 22:48
  • $\begingroup$ I've added 2 pictures, for something flatter, same thing, you need to add some edge loops, at least one. $\endgroup$ – moonboots Mar 9 at 7:44

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