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enter image description here

These are just simple placeholders for any two complementary objects which would have many vertices placed in the same location.

To get this picture I had to distort the tetrahedron and pull each of its' vertices to the vertices of the cube, by moving the cursor from vertice to vertice, and go into Edit mode of the tetrahedron to actually move its' vertices one at a time.

Is it possible to achieve the same result without distortion along the way, and in less steps ?

I already posed a similar question which was answered, but wasn't general enough, because the objects had a common axis, which made the alignment rely solely on Rotation... while simultaneous Scaling AND Rotation is required in most cases.

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    $\begingroup$ Is this question about creating the complementary objects, or transforming them once they exist? $\endgroup$ – Robin Betts Jun 20 at 16:45
  • $\begingroup$ Transforming once they exist, though I'd take the creation explanation on the side too, if it doesn't require manual connection of the vertices, that is, only selection and then connection in one go/click. $\endgroup$ – t8ja Jun 20 at 16:51
  • $\begingroup$ The only way I can think of creating the objects is to construct them from edges.. probably not what you want.. but I'll post anyway, and refer you to another answer about transformation. $\endgroup$ – Robin Betts Jun 20 at 17:00
  • $\begingroup$ say if I wanted to animate the tetrahedron coming from a random direction on a random path, how would I get it to "land" in the cube so perfectly ? XD Don't tell me it's not possible, or even worse that nobody is thinking about these simple possibilities. One cheat would be to run an animation in reverse, but i don't want cheats. I hope I'm just uninformed. $\endgroup$ – t8ja Jun 20 at 17:10
  • $\begingroup$ I've been in stop-motion animation most of my life, and keying in reverse ain't cheating, in my book of rules! :D I'll try making a gif when I've got time.. $\endgroup$ – Robin Betts Jun 20 at 17:18
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To construct the dual object, you can:

  • X Delete > 'Faces Only' of the original
  • F between selected vertices to create new edges
  • F selected edges to create new faces

enter image description here

If you already have the complementary objects, not in the right orientation or scale, maybe this answer will help?

EDIT: following commentary .. this sequence was keyed manually, forward and in reverse from a static exact fit position. I personally think 'cheating' is the easiest approach.

enter image description here

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  • $\begingroup$ I found a way using docs.blender.org/manual/en/latest/editors/3dview/object/editing/… Ctrl+Shift+Space to "sample" the orientation system (Shift+Space) of the cubes vertex in Edit mode, and then select the thetrahedron and go into object>transform>align to transform orientation, which aligns one axis of the tetra to the axis of the cube, but there are still too many steps and I'm basically back to the situation I already described had been answered. $\endgroup$ – t8ja Jun 20 at 22:31
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    $\begingroup$ @t8ja Custom Transform Orientations work on edges and faces, too, absolutely one of the most useful tools in modeling,, I'm very surprised they've lost the standard shortcut for it in 2.8, where you have to make your own, $\endgroup$ – Robin Betts Jun 20 at 22:41

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