I'm not sure what by extrude is meant. And it's kinda hard to explain with words now, so I made a second quick sketch (the one on the right turn out sloppy).
https://i.imgur.com/mcVQT4W.jpg
but basically my question is, how far have the vanishing points be apart so that the cube has right angles. there has to be some construction process and they can't be both right because then how would you construct a box with other angles then 90°?
This is how you can get a 90 degree angle on a 2 point perspective. The two Vps must be equally distant from the point that originates the angle.
Right now I can't think of other solutions.
EDIT: forgot to mention that also the height of the point from the HL must be the same length.
This is another one of those things that aren't sold through Amazon, so I don't get a commission on it - but it's just too good to leave out. PureRef is a fantastic piece of software that is both Windows and Mac compatible. It's used for collecting reference and compiling them into a moodboard. You can move them around freely, have them automatically arranged, zoom in/out and even scale/flip/rotate images as you please. If needed, you can also add little text notes.
When starting on a project, I'll often open it up and start dragging reference images off the internet onto the board. When I'm done, I'll save out a '.pur' file, which embeds all the images. They can get pretty big, but are way more convenient than hauling around folders full of separate images.
Did I mention you can get it for free? The developer allows you to pay whatever amount you want for it. They recommend $5, but they'll allow you to take it for nothing. Really though, with software this versatile and polished, you really should throw them a few bucks if you pick it up. It's more than worth it.
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