Fine Art Friday: The Basics of Three-Point Perspective

Posted by on Aug 30, 2013 in Painting | Comments


We’ve already covered one-point perspective and two-point perspective, which are excellent methods for drawing when you are looking out toward the horizon line. But what if you are looking toward the ground or up into the sky?

These are situations when the rules of one and two-point perspective begin to break down and distortions starts to happen. But there is a solution! Three-point perspective gives you the ability to make far more dynamic drawings.

Here is a useful tutorial to help you understand the basics of three-point perspective.

Drawing of a 3-point City Skyline
© 2007 Paul Heaston

The biggest difference in three-point perspective is that there are three vanishing points (VPs). Two are along the horizon, just like two-point, but the third VP is located either above the horizon (at the zenith) or below the horizon (the nadir), depending on the area you intend to draw.

Remember that in basic one-point perspective, lines are either vertical, horizontal or recede toward the vanishing point. In two-point, lines are either horizontal or recede toward one of the two vanishing points. In three-point perspective all lines recede toward one of the three vanishing points.

The three vanishing points make up a triangle, with the viewer’s center of vision roughly in the middle.

Try this technique to start making basic three-point perspective drawings.

Step 1:

To draw a simple shape in three-point perspective, start just as you would in rwo-point perspective, with a horizon line and two vanishing points as close to the edge of your page as possible. Only this time, rather than in the middle, place the horizon line close to the top of your page if the viewer will be looking down, or the bottom of your page if the viewer will be looking up.

Then, as far from the horizon as possible, place a third vanishing point. It can fall anywhere between the horizon vanishing points, though closer to the middle is better for our purposes.

Then, draw lines connecting the three VPs.

Diagram of 3 Perspective Points

Note: This triangle is very important. In order to avoid distortion, you must try to keep your drawing within this triangle. Anything outside the triangle won’t look right, but everything inside should appear normal. The two shapes below are the same box drawn inside and outside the triangle.

Diagram of 3 Perspective Points with Objects

Step 2:

To begin, draw a line anywhere you’d like within the triangle toward VP3. It doesn’t have to be vertical. You can make this line any length as well. It can end before it reaches VP3 so long as it will end up there if extended.

Diagram of 3 Perspective Points with Line from Point 2

Step 3:

Draw lines from both ends of this line toward both of the horizon VPs, just as you would in a two-point perspective drawing.

Diagram of 3 Perspective Points with 3D Lines

Step 4:

To determine where your shape ends in space, draw lines from VP3 through both sets of lines receding toward the two horizon VPs.

Diagram of 3 Perspective Points with 3D Lines

Step 5:

Draw lines from the back corners toward the opposite horizon VPs and you’ve completed a simple shape in three-point perspective. You can erase any construction lines as needed.

Diagram of 3 Perspective Points with Further 3D Lines

From there, it’s easy to explore making more complicated shapes, so long as you remember that all lines should recede toward one of the three VPs.

Diagram of 3 Perspective Points with Further 3D Lines

Tip: By constructing your vanishing points outside your picture plane, you can easily avoid the problem of accidentally drawing outside the triangle.

There are a few ways to do this:

  • You can tape down your paper to keep it stationary, then place pieces of tape on your work surface outside of your paper to locate your VPs.
  • Or you can keep your VPs on the page, place a rectangle within the triangle and only draw within that rectangle. Later, you can crop your image to the size of this smaller rectangle.

3 Point Perspective Diagram with Cityscape in Center

© 2007 Paul Heaston

Sign up for Perspective in Landscape Drawing with Patrick Connors to master the technique of drawing linear perspective.

What will you draw in three-point perspective?

Comments

  1. Anthony Nicholls says:

    Your take on three point perspective is interesting, however, it is not three point perspective that you have outlined. By definition it is two point angular perspective with an introduced vertical convergence known as false perspective. In the model you have shown the point of vertical convergence is not a true vanishing point. The frontal plane remains vertical, and the horizontal plane remains horizontal the receding angular planes are tapered down and forward towards the introduced vanishing point which is low on the frontal plane. True three point oblique perspective is not capable of the type of distortions that you have illustrated. It has similar projection limits as per two point.

  2. Anthony Nicholls says:

    Three point perspective uses two oblique vanishing points not two angular vanishing points and the vertical convergence is developed through perspective geometry and is one of two inclined vanishing points. The advantage of true three point projection is that true measurements can be projected perspectively using measuring points. However, true three point perspective is not able to produce the same picto distortions as false perspective, but then false perspective needs grid lines to aid the projection as measuring points cannot be used. Both are legitimate systems but two point with an introduced vertical convergence is not three point.