The assignment

Axonometric drawing should not be confused with perspective. Axonometric is a 3D drawing system which keeps the depth of the picture constant. Contrary to perspective where the depth of the picture varies. When axonometric is used in a drawing the result will be a drawing which delivers more accurate and objective information than perspective.

Because we can only see in perspective, an axonometric or any of its variants such as isometric, diametric, and trimetric, may not look right to you. You got to get used to the idea: these drawing systems must be understood for what they are, and for what they are used for. Their goal is that of achieving objective representations.

Eastern art, in particular Japanese, used these method extensively since ancient times. The use of these drawing methods allowed a story to be illustrated with greater breath, all the characters in it could be drawn using the same scale regardless how far they were from each other, therefore each character was given the same importance.

 

This web site: http://www.bing.com/images/search?q=axonometric+drawing&FORM=IGRE&qpvt=axonometric+drawing#  contains hundreds of axonometric drawings including variations such as isometric, diametric and trimetric.

The concept:

In an axonometric drawing two of the three dimensions are always drawn at 90 degrees from each other. These two dimensions can be the vertical and one of the horizontals, like in the picture here above  In this picture the axis representing the depth of the picture is drawn at 45 degrees, or the two horizontal dimension can be drawn at 90 degrees to each other like in the picture here below.

If you have difficulties grasping and dealing wit axonometric, just imitate it, use these pictures as stencils. Eventually things will fall into place, but you got to try to make it happen by trying.

 

In the axonometric drawing here above the two horizontal dimensions, length and width are drawn at 90 degrees, the height is vertical. The drawing that I'm proposing for you doesn't have to be complex and loaded with details, it could represent just one room.

 

A diametric drawing differs from the other members of the family because two dimensions, such as the two horizontals ones, are equally angled from each other but not from the vertical dimension.

 

In a trimetric drawing all 3 dimensions are angled differently from each other. With this approach you can avoid the overlapping of vertical lines such as those of the front and back of a cube.

 

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