What is and how do you do the isometric axonometry of a parallelepiped? Follow these simple steps to do it quickly and correctly.
Isometric axonometry: introduction
Axonometric projections are techniques used in technical drawing and graphics to represent three-dimensional objects on flat surfaces. There are three main types of axonometric projections , each with characteristics that modify the perception of the object: isometric, dimetric, and trimetric. This guide focuses on isometric axonometry, explaining how to easily create the representation of a parallelepiped, without complicated or difficult steps.
Required materials
- A pair of drawing sets
- White sheet
- Pencil
- Eraser
Representation
We speak of isometric axonometry when the three axes on which it is represented have the same axonometric reduction, that is, they form three equal angles.
Axonometry is able to give a balanced view of the object, like that of a human eye. This means that each face of the solid seems deformed, but there is not one that prevails over the others and, even if they are seen from the side, they retain the true measurements.
If you want to make a representation of this type, you need to report the solid on a system composed of three axes (x, y, z), which have the same angle equal to 120 degrees.
To do this, you will need a blank sheet of paper, a pencil, an eraser and a pair of set squares used for technical drawing, one 30 degrees and the other 45 degrees.
Axes
Take the two set squares and draw the three axes that will be useful to create the solid. First draw a line as a reference, a few centimeters from the base of the sheet and, placing the 45-degree set square on it, define the x and y axes using the 30-degree set square.
At the point where the x and y axes intersect, draw the z-axis perpendicular to the reference line.
At this point, report the measurements of the base of the parallelepiped on the x and y axes, while on the z axis you need to identify the height of the geometric figure.
Corresponding to the latter, draw the parallels to x and y, as well as the parallels to z that pass through the extreme points of the base of the parallelepiped, thus composing the entire figure.
Tracing
Now trace the geometric figure using an ink pen. Start by tracing the visible edges using continuous lines, while for the hidden ones you will have to use dotted lines.
Once the ink has dried, you can erase the guidelines used previously to draw the parallelepiped using isometric axonometry.
