Isometric Projection Of Solids

Isometric Drawing:

• A type of pictorial projection in which all three dimensions of an object are shown in one view.
• In this 3-D drawing of an object, all three dimensional axes are maintained at equal inclinations with each other , i.e. 120 degrees.
• All mutual perpendicular plane surfaces of an object and the edges formed by these surfaces are equally inclined to POP.
• When orthographic views are given, a good imagination is needed to visualize the object in 3-D space.

  Some Important Terms:

• The angle between these axes are equal i.e. 120 degrees, so called Isometric Axes.
• The line parallel to these axes are called Isometric Lines.
• The planes representing the cube are called Isometric Planes.
• The reduction is approximately 0.815. It forms a reducing scale which is used to draw isometric projection and is called Isometric Scale.
• True-length Distances are shown along isometric lines. 
• Isometric line is the line that run parallel to any of the isometric axes.

Types Of Isometric Drawings:

There are two types of isometric drawing, namely:

1. Isometric Projections.
2. Isometric Views.

1.  Isometric Projections:

All the edges of the cube are equally inclined to the plane of projection, they get equally foreshortened in isometric projection.

2.  Isometric Views:

It is way by which you can represent your shapes into 3-D view.

Isometric Of Plane Figures:

• For 2-D figures only two isometric axes are required.
• Shape containing inclined lines should be enclosed in a rectangle 
• Draw isometric of the rectangle and then inscribe that shape in it.

Example of Isometric Projection:

How we convert orthographic views into isometric projection is completely described by the video given below:

References:

• Videos from youtube.
• Images from google images.
• GIF: https://www.mathwarehouse.com/animated-gifs/conic-sections.php,
• Materials from my university notes, Engineering Drawing Textbook by N.D. Bhatt.
• Projection Handouts From Book Bertoline 4th Addition.