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I'm practising with a mesh object typical cube. Added a whole bunch of cuts in the mesh. I believed the mesh is clean with no problems, until I added the subdivision surface, and down the corner of IMG 03, suddenly it's creating a triangle and also some weird unclean artefact on the surface. That I sort of cleaned adding more loop cuts, but it didnt clean 100%. But that corner triangle I cant figure out what it can cause it.

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Your mesh has some n-gons and the Subdivision Modifier doesn't like it. :)
Make your mesh only from quads and it will subdivide properly.

Other little issues:

  • Messed up scale - Solve through Object > Apply > Scale (and check normals afterwards)
  • Non-manifold faces - some faces are going through another. This has to be repaired manually. Either merge the vertices, or move the faces farther away.

Quads vs. N-gons with Subdivision Modifier

enter image description here

Apply your object's scale to avoid problems in the future.

enter image description here

Here is your .blend back, repaired so you can compare :).

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  • $\begingroup$ I cant believe that I didnt noticed the n-gons right in front of my mesh. Thanks for your help Jacym! ibb.co/g6gbSrW $\endgroup$ Commented Feb 9, 2020 at 2:10

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