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enter image description here As you can see in the image, the selected face (on the right) is distorted. I have four questions here:

(1) Why does it happen?

(2) Does it affect the final output when rendering?

(3) How to fix it?

(4) Is it a bug? (If so, should I report it or is that already done by someone?)

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    $\begingroup$ Four sided faces aren't necessarily planar. I see nothing wrong here $\endgroup$ – Duarte Farrajota Ramos Jun 28 '17 at 18:40
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It's difficult to see from your screenshot but:

1.) A plane, by definition, is two dimensional. A face in Blender is simply a plane. Once you edit the face in a way that destroys the two-dimensionality, Blender doesn't quite know what to do with it, because it expects that the user understand graphics and geometry.

2.) Yes, most certainly.

3.) You must subdivide the face in a way that "allows" it to remain two-dimensional. Triangular faces, by definition, are two dimensional, because for any three given vertices, they exist in the same plane. Therefore, subdividing it into triangular faces is the easiest way to resolve this: enter image description here

4.) Most certainly not.

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