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so my problem is that I've created a model that has a parametric form, so when I use subsurf to smoothen out the edges, these sort of faces are generated that interfere with even my freestyle outlining. How do I solve this problem?enter image description hereenter image description here

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    $\begingroup$ Are there any topological oddities going on there? Internal faces or otherwise non-manifold stuff? (You can select non-manifold geometry with Ctrl+Shift+Alt+M). If not, is it possible you could upload your .blend? $\endgroup$ – gandalf3 Mar 7 '18 at 5:14
  • $\begingroup$ I used the default cube, merged it to a vertice, and then traced out a form, created a face and extruded a form. Then I used subsurf to smoothen the faces. Attached is the blend file. <img src="https://blend-exchange.giantcowfilms.com/embedImage.png?bid=4623" /> $\endgroup$ – Zahrin D'Silva Mar 7 '18 at 5:29
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This is most likely due to having n-gons or a mesh problem can we see a photo of your mesh or can we take a look at your blend file?

EDIT: It might be better to just smooth the model then add edge split. First u will need to remove doubles, select your mesh then press w and select remove doublesenter image description here Then exit edit mode and select smooth enter image description here

Then add edge split enter image description here

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