Axonometric projection — unequal foreshortening on all three axes Which projection type has three different foreshortening ratios along the X, Y, and Z axes, making each axis scale unique?

Introduction / Context:
Axonometric drawings represent 3D objects on 2D media by tilting the axes. The choice among isometric, dimetric, and trimetric affects how lengths are scaled (foreshortened) and how easily the drawing can be constructed and read.

Given Data / Assumptions:

• Axes are projected without perspective convergence (parallel projection).
• We compare relative foreshortening along principal axes.
• Standard definitions of axonometric types apply.

Concept / Approach:
In trimetric projection, all three axes are foreshortened by different amounts. This maximizes flexibility to depict complex forms but at the cost of more complex construction since no simple equal scale exists between axes.

Step-by-Step Solution:
Select trimetric angles for the three axes relative to the picture plane.Compute or set scaling factors for X, Y, and Z independently.Project feature lines along each axis using its unique scale.Dimension carefully, as direct measurements on the drawing are not uniform.

Verification / Alternative check:
Contrast with isometric (all three equal) and dimetric (two equal, one different). Only trimetric uses three different scales.

Why Other Options Are Wrong:

• Isometric: equal foreshortening on all three axes.
• Dimetric: two axes equal, one different.
• Parallel: describes projection type, not the foreshortening relationship.

Common Pitfalls:
Mixing scales across axes or assuming angles identical to isometric leads to misproportioned views.

Final Answer:
Trimetric