Puzzle... how to stand a cube on its corner?

[-andrew-]

So I'm trying to figure out how to stand a cube on its corner so that the opposite corner is directly above it.

I realize I can build some custom planes, I think, based on possibly building a "jig" out of custom geometry...

But is there a "standard" way this might be done?

Fun one...

[setz]

Plan view, rotate cube 45degrees, side view snap center of rotation to low left corner point, rotate upper right corner to vertical using automatically created guide. 

[-andrew-]

Hi setz - 

Thanks for the note... just getting back to this.

What I've found is that the upward rotation angle after rotating the cube 45 degrees on the z axis is 54.74 degrees on the y axis.

Now, I don't know how mathematically accurate this is (e.g. if used for machining) but it's pretty close!

[R2D2]

That should be correct.

You can test a section at half height: the resulting hexagon then has equal length segments.

(For a built example house google  "Piet Blom cube house")

[-andrew-]

Thanks - and I've seen the Piet Blom houses! (Well, pictures.) I imagine it must feel very interesting to walk through that space.

There really is so much interesting architecture around... and so many new homes still emulate the 1700s...

 

[vva]

another way to check:

draw the (3D) diagonale through the cube, group with the cube and rotate like Setz told you.

now you can check the diagonale standing exactly vertical.

vva