Create Your Own Perspective Drawing

Crab ©1999 by Hop David
This perpective drawing utilizes the harmonic sequence.
The heights of the rows are 1, 1/2, 1/3, 1/4, 1/5, etc.


M.C. Escher is known for his wonderful perspective drawings and optical illusions. He took the simple concept of perception and tried to create the same drawing with multiple perspectives. Take a look at these drawings by M.C. Escher. Try to find the different perspectives.

Can you find the top of the stairs???

Can you make sense of this image???


Making Your Own Perspective Drawings

We will now discuss how to make your own different types of perspective drawings. On the other page we saw three different types of perspective drawings. The easiest one to begin with is of course the one point perspective. To illustrate this we will be creating this workspace in the Geometer's Sketchpad.

One point Perspective

We will be trying to create a hallway very similar to the Castle Corridor. To make this drawing we need to construct a square with the construct menu. Then we need to choose our point of infinity. This point is the determining factor in the viewer's perspective.

Click here for the GSP file.

Next we need to give the drawing some depth. From the corners of the square we need to construct segments that all pass through the point of infinity. This will give us that three dimentional depth.

Two Point Perspective

Here we are going to continue with the same drawing. This time imagine that you are standing at the corner of two hallways or at the corner of a street. The two points of perspective will be the left and right hallways. We will need another point of infinity to bring us into this two point perspective hence the name two-point perspective.

Click here for the GSP file.

Challenge

Use what you know about perspective drawings and try creating different drawings with 1, 2 or 3 different points of infinity.


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