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whenever smoth vertex is presssed it breaks up mirrored objects and i dont know why could somebody help please? i have tried: using diffrent axis,re-building the whole thing and others. please help. Result After Using Smooth Vertex:enter image description here

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    $\begingroup$ Welcome to Blender.SE! Have you tried enabling Clipping on the mirror modifier? $\endgroup$ – PGmath Nov 25 '15 at 19:52
  • $\begingroup$ Also, why are you trying to use the smooth vertex tool in this case? (it will only shrink the mesh but doesn't really smooth it due to it simplicity). Might want to try adding a Subdivision Surface Modifier instead (blender.org/manual/modeling/modifiers/generate/subsurf.html) $\endgroup$ – TLousky Nov 25 '15 at 22:43
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    $\begingroup$ also, putting only the result "after" doesn't say much about how it was "before"... $\endgroup$ – m.ardito Nov 26 '15 at 9:57
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You are doing this:

Cutting a cube and sticking a Mirror Modifier on it.

enter image description here

Then doing Ctrl+V, and picking 'Smooth Vertex'

enter image description here

This produces exactly what you show, and that's exactly what we would expect.

enter image description here

Smooth Vertex tries to pull all real vertices together. As mentioned in the docs

This will apply once the Smooth Tool.

You must remember you are performing this Vertex operation on only half a cube, (the rest is mirrored) and therefor the real center of all these real vertices (shaded in orange) lies within their collective coordinates, not on the mirror axis - the mirrored portion is not taken into account.

Objects with a bit more definition tend to smooth much more subtle, retaining much of the silhouette and scale.

enter image description here

I think your main confusion was that you where performing this operation on an object that relies on a Mirror Modifier for half of it's visual geometry. Maybe you are looking for the Laplacian Smooth deform modifier. (which will work ontop of the Mirror Modifier)

enter image description here

Or perhaps the Subdivision Surface Modifier.

enter image description here

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