CWD 9

These next two pages are out of order because I just figured this part out a few nights ago- after the others were posted.

This part is about something the "X" method could not truly handle: while it could handle dividing something into 2, 4, 8, 16, etc. equal parts, what if you want to divide something into thirds, 5, 6, 7, 9, 10, etc. parts?

For thirds, you could divide, say, a wall into four equal parts- 25/25/25/25 %, and then divide the second and third parts in half- so you'd have 25/12.5/12.5/12.5/12.5/25 %.

Now, if you take the two on the left and the two on the right, you'd have 37.5%- close to a third, since that would be about 33.3% .

Just move the leftmost portion's right line a little to the left and the rightmost portion's left line a bit to the right (to expand the middle portion), and you'd be very close to three equal parts.

But this is clumsy and time-consuming. And what if you want 5 or 6 parts?

Back to it...

Here it is!


First, as in Figure 18, draw a wall from a Vanishing Point, but make sure the bottom is even with the Vanishing Point, as shown- right on the horizon.

From the top corner of the side closest to the Vanishing Point, draw a horizontal line to the other side of the wall. Measure how long this line is; in my case, it is 6cm.

For Figure 19, a demonstration, draw in an "X," as done in earlier examples. You know that dropping a vertical line down through the middle of that "X" will divide the wall in two.

Find the middle of the horizontal line, and draw a point there. From the corner of the wall opposite the Vanishing Point, on the same line (the horizon), draw a line through the middle of the horizontal line (3cm in my case) until you reach the top of the wall. Mark this point off- and then drop a line straight down to the bottom of the wall.

It goes right through the middle of the "X." It too divides the wall in two!

Now, if you were to draw in the "X's" you would need to divide the wall into four quarters, and then divide the horizontal line in four (1.5, 3.0, 4.5 cm in my case), and do the same as just above, you would divide the wall in four. It works!


For Figure 20 the only thing done differently is that the horizontal line was divided into thirds. The two lines were drawn through those points (2cm and 4cm), the vertical lines dropped...and now the wall has been divided into nice neat thirds!

In order to confirm this I used the "X" method described above. That method is close enough to confirm that this did, indeed, work!

It is difficult to describe how it felt at that moment.


In Figure 21 it becomes a bit more complicated- the top and bottom of the wall is on either side of the horizon. You cannot directly use the corner to draw lines from as before, although the horizontal line- the one that determines how the wall will be divided- is done the same way.

What you have to do in this case is to draw a line from the Vanishing Point to the wall furthest from it, as shown- you'll get a right angle at that point, just as in Figures 18-20. That line is, of course, the horizon.

It will be from where the horizon meets the wall that you draw the lines that go through the horizontal line- just as before. In fact, except for that extra step you do this the same as before, for the same results, as shown; in this case, the wall was divided into thirds, and again I verified it using the "X" methods from above.

And that's it for two out of the three types of walls you'll draw using the One and Two vanishing Point methods.

Now, for the third and trickiest...next page, please!