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I have a box roughly like the left box in this image.

I want to be able to make it "lean" on one axis (x), without decreasing the size along the other axis (y, z) like the right box in this image.

To do it here, I moved the top face along X and then did my subdivisions.

enter image description here

Proportional editing almost does this, but not quite, and probably wouldn't work well on complex shapes.

enter image description here

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    $\begingroup$ I think what you're looking for is the "Shear" tool $\endgroup$
    – Gorgious
    Commented Aug 24, 2021 at 18:17
  • $\begingroup$ @Gorgious That does it, thank you $\endgroup$
    – Regular Jo
    Commented Aug 24, 2021 at 18:19
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    $\begingroup$ Or with a lattice. $\endgroup$
    – batFINGER
    Commented Aug 24, 2021 at 18:36
  • $\begingroup$ eg blender.stackexchange.com/a/195675/15543 $\endgroup$
    – batFINGER
    Commented Aug 24, 2021 at 19:39

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