This was a crazy assignment that just seemed to click in my brain. When a friend was asking how to do it, I didn’t really know, I’d just fluked it. So I went through the process again and tried to understand what was happening step-by-step. Here it is.
Draw a square using vanishing points.
Follow the vanishing points all the way through the square so there’s ‘handles’ at the ends of each edge.
Draw an X from each corner of the bottom of the square.
Choose any place to draw the beginnings of your first plane. Make sure it’s between two handles and heading towards one of your vanishing points.
Extend the line til it hits your X. Then direct it toward the other vanishing point. Do this til you’ve gone all the way around.
Draw vertical lines from the edges of each of these bottom lines til they hit the top handles.
If you draw lines between each of these new vertical lines, they should all be heading toward one of the vanishing points (in alignment with their matching bottom line).
Now you’ve exploded one level of all your side planes.
Find the next plane by finding the centre of the rectangle and drawing an X through it. Then draw a new X with lines running from two existing corners, through the centre of the edge and ending where they touch the handles. A line running from these touching points toward a vanishing point will be equidistant with the previous plane.
Repeat the first process again til you’ve got 3 levels on each side.
Now move on to the top and bottom. Start by putting in vertical handles.
The front face of the cube now has an X on it. So I take the front edge of the side panel and continue until the X. Then it’s exactly as the rest.