Principal views concept: Can any 3D object be described using up to six mutually perpendicular orthographic views (front, top, bottom, left, right, rear)?

Introduction / Context:
The foundation of orthographic projection is that three-dimensional geometry can be represented by a set of two-dimensional views placed on perpendicular planes. Standards define six principal views: front, top, bottom, left, right, and rear. While most drawings need only two or three of these, the complete set exists for any object.

Given Data / Assumptions:

• Views are mutually perpendicular and derived from orthographic projection.
• Additional auxiliary views may be used for clarity but are not required to assert the existence of the six principal views.
• Projection angle (first vs third) affects layout, not existence of views.

Concept / Approach:
Orthographic projection maps points from 3D space onto planes that are perpendicular to each other. Every object can be viewed from each of these directions, producing up to six standard views. Redundancy allows the drafter to omit views that do not add information, but the theoretical capability remains valid for any geometry.

Step-by-Step Solution:

Verification / Alternative check:
Create a bounding box around any object; each face of the box corresponds to a principal view direction, proving the universality of the six-view concept.

Why Other Options Are Wrong:

Common Pitfalls:
Confusing “existence of views” with “necessity of showing all six” on a production drawing; often fewer views suffice.

Final Answer:
Correct