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Description
O.K, now it gets a bit stricter here…but in a good way! 

So far, we’ve just drawn blocks as we went. It worked, but what if you want an actual, good, even block- a cube? How in the world do you do it? We know that when you move past a cube (or almost anything) one side will seem to get closer to the middle and the other further away, but how do you draw it?

Squares and a cube are so central to so much, being able to draw one is really a good thing to be able to do!

Here’s how…

Draw a line- make it horizontal here- and on the left end put Vanishing Point 1. Put Vanishing Point 2 on the right end.

From VP1 draw a line that is 45 degrees to the horizon, as shown. Do the same from VP2; what you should have is a nice, neat "V" with its point directly under the middle of the horizon, as in Fig. 15.

Right now, measure the distance from VP1 to that junction, and then measure the distance from VP2 to the junction. Write those two numbers down; you’ll need to use them soon.

The 45 degree point will be right in the middle of the horizon, as it always will be when you want a square. If you ever simply want to draw 2VP squares, all you have to do is draw a line with the two vanishing points and the 45 degree point right in the middle; the line coming from that mid-point will always give you a square (anything to its left or right will give you a rectangle). Notice how the line from the "junction" to the 45 degree point neatly bisects the junction into two 45 degree angles- this will be important for a later part of this tutorial!

By now you should have three points on the horizon. To avoid confusion later on, you can erase all three of the lines below the horizon; all you need is the horizon and the three points on it.

(NOTE- The small picture to the left of Fig. 16 shows a logical mistake: the "V" has been turned, so its point is no longer below the middle of the horizon. But the line coming from the point is still a "45 degree line" and you still get a "45 degree point"...you'd think you'd get a square, as I did.

HOWEVER- This does NOT give you a square; what you will get is a rectangle! To get a square the "45 degree point" MUST BE RIGHT IN THE MIDDLE OF THE HORIZON. Anything else will give you a rectangle. Notice how the "V" of that small picture actually forms half of a rectangle?)

In Fig. 17, I just drew in a dot below the horizon, and then drew a line from each vanishing point through it. This is the “Front Corner Point.” You’ll see why in just a second, but if you already know why, then you’ll get this with no problem at all.

Next page:

[link]

Description
O.K, now it gets a bit stricter here…but in a good way! 

So far, we’ve just drawn blocks as we went. It worked, but what if you want an actual, good, even block- a cube? How in the world do you do it? We know that when you move past a cube (or almost anything) one side will seem to get closer to the middle and the other further away, but how do you draw it?

Squares and a cube are so central to so much, being able to draw one is really a good thing to be able to do!

Here’s how…

Draw a line- make it horizontal here- and on the left end put Vanishing Point 1. Put Vanishing Point 2 on the right end.

From VP1 draw a line that is 45 degrees to the horizon, as shown. Do the same from VP2; what you should have is a nice, neat "V" with its point directly under the middle of the horizon, as in Fig. 15.

Right now, measure the distance from VP1 to that junction, and then measure the distance from VP2 to the junction. Write those two numbers down; you’ll need to use them soon.

The 45 degree point will be right in the middle of the horizon, as it always will be when you want a square. If you ever simply want to draw 2VP squares, all you have to do is draw a line with the two vanishing points and the 45 degree point right in the middle; the line coming from that mid-point will always give you a square (anything to its left or right will give you a rectangle). Notice how the line from the "junction" to the 45 degree point neatly bisects the junction into two 45 degree angles- this will be important for a later part of this tutorial!

By now you should have three points on the horizon. To avoid confusion later on, you can erase all three of the lines below the horizon; all you need is the horizon and the three points on it.

(NOTE- The small picture to the left of Fig. 16 shows a logical mistake: the "V" has been turned, so its point is no longer below the middle of the horizon. But the line coming from the point is still a "45 degree line" and you still get a "45 degree point"...you'd think you'd get a square, as I did.

HOWEVER- This does NOT give you a square; what you will get is a rectangle! To get a square the "45 degree point" MUST BE RIGHT IN THE MIDDLE OF THE HORIZON. Anything else will give you a rectangle. Notice how the "V" of that small picture actually forms half of a rectangle?)

In Fig. 17, I just drew in a dot below the horizon, and then drew a line from each vanishing point through it. This is the “Front Corner Point.” You’ll see why in just a second, but if you already know why, then you’ll get this with no problem at all.

Next page:

[link]