Axonometric projection fundamentals In a dimetric drawing (an axonometric type), do all three principal axis directions exhibit different amounts of foreshortening, or do only two share the same scale while the third differs?

Difficulty: Easy

Correct Answer: Incorrect

Explanation:


Introduction / Context:
Dimetric projection is one of the axonometric projection methods used in technical drawing alongside isometric and trimetric. The core idea behind axonometric views is that a 3D object is represented with its axes tilted relative to the plane of projection so that more than one face is visible at once, while measurements along those axes are reduced (foreshortened) by specific scale factors.



Given Data / Assumptions:

  • The statement claims all three axis directions in a dimetric view have different foreshortening.
  • Axonometric methods are defined by how many of the three principal axes share the same scale.
  • No numeric scaling values are provided; only the qualitative pattern matters.


Concept / Approach:
By definition, an isometric view uses equal scales on all three axes; a dimetric view uses two equal scales and one different; a trimetric view uses three different scales. Therefore, the hallmark of a dimetric drawing is two equal foreshortenings and one distinct foreshortening, not three different ones.



Step-by-Step Solution:

Identify the projection family: axonometric (parallel projection).Recall the definitions: isometric (three equal), dimetric (two equal), trimetric (three different).Compare the claim to the dimetric definition: it conflicts because it asserts three different foreshortenings.Conclude the statement is not valid for dimetric projection.


Verification / Alternative check:
Check any standard graphics text table that contrasts iso/di/trimetric scales; dimetric consistently lists two equal scale factors and one different, confirming the conclusion.



Why Other Options Are Wrong:
“Applies only to cabinet views” refers to oblique projection, not axonometric. “True only when using a 30/60 triangle” confuses construction tools with projection theory. “True only for perspective sketches” mixes perspective (converging lines) with axonometric (parallel lines).



Common Pitfalls:
Confusing dimetric with trimetric, assuming the angles between axes determine equality of scales without checking the calibration, and mixing axonometric with oblique methods.



Final Answer:
Incorrect

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