Axonometric Projections

Illustrations - Axonometric Projections

Axonometric Projection or drawing are referred to as a projection as they do not have vanishing points as the conventional perspective drawing. glossary-tag Consequently, all line on a common axis are draw as parallel.

It is how the object is rotated about the centre point that creates the variations in the way it is constructed. In the slideshow below a step-by-step explanation will demonstrate each variation.

Axonometric Projections are used in construction, engineering, manufacturers and everyday application such as computer games.

The exploded axonometric projection is frequently used as a 'look-a-like' graphic reference to a component list or an assembly of a 3D complex object.

There are three main types of axonometric or orthographic projection: Isometric, Dimetric and Trimetric.

Isometric

A : Is the Orthogonal Isometric projection where the x & y axis are set at 45 degrees to the picture plane. As a result the x & y axis are orthogonal to each other (or at 90 degrees). In illustrations this can be best described as a Centered Orthogonal Projection.

isometric-45

Centered Isometric

isometric-unequal

Rotated Isometric

B : Is the Orthogonal Isometric projection where the x & y axis are set at any angle to the picture plane yet are orthogonal to each other (or at 90 degrees). Known as a Rotated Orthogonal Projection.

Dimetric

C : Is a Dimetric projection where both the x & y axis is setup at less or greater than 45 degrees and are the same angle to the picture plane. As a result the x & y axis is not orthogonal to each other. Known as a Centered Dimetric Projection.

dimetric-30

Centered Dimetric

dimetric-unequal

Rotated Dimetric

D : Is also a Dimetric projection where both the x & y axis is setup at a different angle to the picture plane and are not orthogonal to each other. Known as a Rotated Dimetric Projection.

If we look at the images of these 4 basic types of axonometric projections we can get a hint of how they could adapted to 'fit into' 3D Axonometric Illustrations.

isometric-45-image
A: Orthogonal.
isometric-30-imageB: Rotated.
dimetric-45-image
C: Dimetric.
dimetric-30-image
D: Rotated.

Before we move on 'How to draw' each of the 1 point perspective, you will require a plan, elevation and in some cases a section of the 'Object' you wish to draw perspective of. All must be the same scale.

perspective-object-plan-elevation

Object - Plan - Elevation

Okay let's have a look at how they are drawn.

Point by Point Demonstration

  • 1: Firstly, either to the left or right of your working setup the elevation and project the Relevant heights onto your draw. Then on the Centre line of your drawing setup the plan of the object on a relevant point 'O' (centre point) and rotate it to 45 degrees..

  • 2: From the next corner 'O' project a Construction Line parallel to the Centre line on to the working drawing. Then from the Ground line & lower Roofline draw the first face parallel to the object (45 Degrees).

  • 3: To complete the lower portion of the object project Construction Lines parallel to the Centre line from the remaining corners. 'O' Then Parallel to that face add the remaining face and roof.

  • 4: Next project a Construction Lines from the adjoining corner 'O'. Then from where the upper roofline intersects the Centre line 'O' add the roofline to the upper section and complete the face parallel to that face.

  • 5: Thereafter project the remaining 2 Construction Lines from those corners 'O' onto the working drawing and complete the Larger block.

  • 6: All that remains is the opening. Project the Top & Bottom lines of the opening to the Centre line. Then from those intersections 'O' draw the Construction Lines to the corner and to the opening.

  • 7: Finally, project the opening's Construction Lines on to the working drawing and complete the opening.

  • 8: Now let's clean if up. That is a typical 45-degree axonometric projection, which is mainly used for commercial purposes. Despite appearance is also to scale.

  • 9: In some cases the 'components' of the object are projected outwards so they can be identified and scaled. This is referred to as an exploded axonometric projection.

  • 10. The Isometric projection is setup at an angle of 30 Degrees about a relevant point 'O' with the remaining at 60 degrees. OR, it can be setup at 60 degrees with the remaining at 30 degrees. Here again, draw the Centre line, and from the elevation project the Relevant heights onto your working drawing..

  • 11. Thereafter, as with the axonometric project, add the Construction lines from the corners 'O' of the smaller block and draw the faces parallel to their own. (Namely 30 & 60 degrees)

  • 12. Thereafter do the same with the larger block of the object.                                                                

  • 13.Finally, add the opening to the front face.                                                                                     .

  • 14. The only difference between this projection compared to the pervious is the angle at which it was setup as. Otherwise they are drawn in the same way.                                           

  • 15. The exploded version of the an isometric projection would look something this.                             

  • 16. If we had to compare the two side by side they both look a little 'stilted'. However, the object of these projections are usually for a particular purpose where the 3D orientation is the important.                                           

  • 17. To reduce that 'stilted' appearance dimetric projection can be used. In this example the plan is setup at 45 degrees. But in this case the angle at which the faces are drawn is reduced. The smaller the angle, the less 'stilted' it appears.

  • 18. In this example the plan was setup at 30 degrees and again the angle the faces are draw at are reduced. In both cases the construction lines are the same as the first example.                             

  • 19. Here we can see the differences. The 2 dimetric projections at bottom appear less 'stilted' and are used for in application that require a more graphic presentation. For example, computer games, orientation maps and the like..

Note

To see more on the different types of perspective return to the introduction on Draw Perspective review and the types of perspectives.

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As an extension to this page Axonometric Illustrations has been compiled. It will be discussing how to apply these projection to the computer and other graphic environments.


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